The document thanks various people who helped with a student project to verify Archimedes' principle. It includes a teacher, principal, parents, and friends who provided guidance, facilities, suggestions and support to complete the project on time. The rest of the document appears to be a report on Archimedes' principle, including its discovery, applications, buoyancy, and an experiment to verify the principle.
The document discusses Archimedes' principle and its applications, including how it was discovered, what the principle states, and how it relates to concepts like buoyancy, relative density, and the operation of submarines. It also provides examples of using relative density to check the purity of substances by comparing their measured density to the theoretical density.
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that the water level rose when he got into a bath. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure density. The formula for Archimedes' Principle relates the density of an object to the density of the fluid, allowing calculation of buoyant force without measuring volumes
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that the water level rose when he got into a bath. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure fluid density.
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that he displaced water in a bath tub when he stepped inside. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure density. The formula for Archimedes' Principle relates the density of an object to the density of the fluid, allowing calculation of buoyant force without measuring volumes.
Archimedes was an ancient Greek mathematician and inventor considered one of the most famous and influential scientists in classical antiquity. Some of his key contributions include developing mathematical principles for calculating the surfaces and volumes of spheres and cylinders, accurately approximating pi, and inventing early machines and tools still used today such as the Archimedes screw for irrigation. He made groundbreaking discoveries in mathematics and physics, including formulating the law of buoyancy known as Archimedes' principle.
Archimedes' principle (Class XI Physics Investigatory Project)Viraj Sanap
Physics Investigatory Project on the topic Archimedes' Principle for Class XI term examinations.
Covers the concept of Archimedes' Principle thoroughly including examples and future scope.
Easy to understand.
Archimedes was a pre-eminent Greek mathematician and inventor in the 3rd century BC. Archimedes' Principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density compared to the fluid. It also applies to balloons floating in air. The key concept is buoyant force, which reduces the apparent weight of an object submerged in a fluid by an amount equal to the weight of the fluid displaced.
The document discusses Archimedes' principle and its applications, including how it was discovered, what the principle states, and how it relates to concepts like buoyancy, relative density, and the operation of submarines. It also provides examples of using relative density to check the purity of substances by comparing their measured density to the theoretical density.
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that the water level rose when he got into a bath. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure density. The formula for Archimedes' Principle relates the density of an object to the density of the fluid, allowing calculation of buoyant force without measuring volumes
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that the water level rose when he got into a bath. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure fluid density.
Archimedes was a Greek scientist who discovered the principle of buoyancy, now known as Archimedes' Principle, after noticing that he displaced water in a bath tub when he stepped inside. His work in geometry, mechanics, and understanding of levers helped the Greek army defeat the Romans. Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid displaced by the object. This principle is used in ship and submarine design and in instruments like lactometers and hydrometers that measure density. The formula for Archimedes' Principle relates the density of an object to the density of the fluid, allowing calculation of buoyant force without measuring volumes.
Archimedes was an ancient Greek mathematician and inventor considered one of the most famous and influential scientists in classical antiquity. Some of his key contributions include developing mathematical principles for calculating the surfaces and volumes of spheres and cylinders, accurately approximating pi, and inventing early machines and tools still used today such as the Archimedes screw for irrigation. He made groundbreaking discoveries in mathematics and physics, including formulating the law of buoyancy known as Archimedes' principle.
Archimedes' principle (Class XI Physics Investigatory Project)Viraj Sanap
Physics Investigatory Project on the topic Archimedes' Principle for Class XI term examinations.
Covers the concept of Archimedes' Principle thoroughly including examples and future scope.
Easy to understand.
Archimedes was a pre-eminent Greek mathematician and inventor in the 3rd century BC. Archimedes' Principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density compared to the fluid. It also applies to balloons floating in air. The key concept is buoyant force, which reduces the apparent weight of an object submerged in a fluid by an amount equal to the weight of the fluid displaced.
Archimedes' principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density. If an object's density is greater than the fluid, it will sink, and if its density is less than the fluid, it will float. The upthrust force reduces the apparent weight of the submerged object. Applications of Archimedes' principle include determining ship drafts, submarine depths, and fluid densities using instruments like hydrometers.
Archimedes' principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density. If an object's density is greater than the fluid, it will sink, and if its density is less than the fluid, it will float. The upthrust force reduces the apparent weight felt by submerged objects. Archimedes' principle applies to ships, submarines, hot air balloons, and other objects interacting with fluids. It allows calculation of fluid density based on measurements of weight changes when objects are submerged.
Archimedes' Principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle explains why objects float or sink based on an object's density compared to the fluid. It also explains why objects seem lighter when submerged. Applications of Archimedes' Principle include determining the depth ships sit in water based on water temperature and density, how hot air balloons rise and fall, and how submarines control their buoyancy using ballast tanks.
1) Archimedes was a famous Greek mathematician, engineer and inventor born around 287 BC in Syracuse, Sicily.
2) He made significant contributions to mathematics, including calculating approximations of pi and inventing a system to represent extremely large numbers.
3) Archimedes invented many mechanical devices, including weapons to defend Syracuse from Roman attack such as large claws and mirrors to set fire to ships.
4) He is renowned for his discoveries around buoyancy and density that allowed him to determine whether a crown was pure gold or adulterated, crying "Eureka!" upon his realization.
Archimedes was a famous Greek mathematician and inventor who lived in Syracuse in the 3rd century BC. He made important discoveries in geometry and mechanics, including establishing the science of hydrostatics and formulating Archimedes' principle of buoyancy. He is also credited with inventing the hydraulic screw pump for raising water. The document provides details on Archimedes' life and accomplishments, including using his principle of buoyancy to prove that a golden crown was not pure gold as claimed.
The document discusses floating and sinking concepts including:
1) Objects float if they are less dense than the fluid they are in and sink if more dense. Density is mass divided by volume.
2) Archimedes' principle states the buoyant force on an object equals the weight of the fluid it displaces.
3) Objects can change their density and therefore floating/sinking by changing their mass like submarines, or volume like ships.
The document discusses Archimedes' principle and buoyancy, and presents a student project to build a barge using tin cans.
Archimedes' principle states that the upward buoyant force on an object equals the weight of the fluid it displaces. Buoyancy is the upward force produced by a fluid that opposes the weight of an object submerged or floating in it.
The student project involves connecting tin cans with tape and plastic bottles to form a barge shape. Applying Archimedes' principle, they ensure the cans are tightly packed so the barge will float, with the upward buoyant force equaling the weight of the water displaced.
This document discusses Archimedes' principle of buoyancy. It explains that Archimedes' principle states that when an object is submerged in a fluid, it experiences an upward force equal to the weight of the fluid displaced. This upward force is called upthrust or buoyant force. The principle explains why objects float or sink based on an object's density compared to the fluid density. Applications of the principle include ships, submarines, hot air balloons, and hydrometers.
Archimedes was born in 287 BC in Syracuse, Greece. He died in 212 BC when he was killed by a Roman soldier who did not know his identity. Archimedes' father was named Phidias and may have been related to Hieron II, the king of Syracuse. Archimedes' Principle states that when a body is immersed partially or fully in a fluid, it experiences an upward force equal to the weight of the fluid displaced by the body. This upward force is called the buoyant force. The buoyant force depends on the volume of the body immersed and the density of the fluid. An experiment is described to verify Archimedes' Principle by measuring the loss in weight of a
1) Archimedes was an ancient Greek mathematician who lived in the 3rd century BC and made important contributions to mathematics, including discovering the principle of buoyancy.
2) According to Archimedes' principle, a body submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the body.
3) Archimedes' principle is applied in ship and submarine design, as well as in hydrometers and lactometers to measure density and purity of liquids.
Archimedes was a Greek mathematician and inventor from Syracuse, Sicily. He made many important discoveries and inventions including:
- The principle of the lever and understanding how it can be used to lift heavy objects with ease.
- The compound pulley and hydraulic screw for raising water.
- His most famous discovery, known as Archimedes' principle, which states that the buoyant force on an object immersed in fluid is equal to the weight of the fluid it displaces.
- He applied his knowledge of mechanics and physics to defend Syracuse against the invading Romans by inventing war machines like catapults. However, after the city fell, Archimedes was killed by a Roman soldier despite his request
Archimedes made accurate approximations of Pi by drawing polygons inside and outside circles and using the formula for the area of a circle. He established rules of density that are still used today, such as determining if objects will float based on their density. While bathing, Archimedes discovered that submerging objects in water causes displacement, allowing differentiation between their weight and the weight of the displaced water, laying the foundations for understanding buoyancy which is crucial in ship design and submarine warfare.
Archimedes made accurate approximations of Pi by drawing polygons inside and outside circles and using the formula for the area of a circle. He established rules of density that are still used today, such as determining if objects will float based on their density. While bathing, Archimedes discovered that submerging objects in water causes displacement, allowing differentiation between the weight of objects. This principle of buoyancy is important for ship manufacturing and operation.
Archimedes' principle states that the buoyant force on an object submerged or partially submerged in a fluid is equal to the weight of the fluid the object displaces. This principle explains that the apparent weight of an object decreases when submerged due to an upward force equal to the weight of the displaced fluid. The principle also applies to objects floating on a fluid, where the weight of fluid displaced equals the weight of the floating object.
Archimedes (287-212 BC) was a famous Greek mathematician and inventor. He created a mechanical planetarium that showed the motions of celestial bodies. He also invented the Archimedes' screw, which uses a screw inside a hollow pipe to lift water for irrigation. Archimedes made important contributions to mathematics, including calculating pi more accurately and developing a method for calculating the surface area of spheres. He also studied levers, pulleys, and buoyancy, laying the foundations for modern engineering.
This document discusses key principles relating to fluids and their properties:
- Archimedes' Principle explains how buoyancy allows objects to float if the fluid displaced weighs more than the object.
- Density measures the mass per unit volume of a substance.
- Pascal's Principle describes how pressure is transmitted equally in all directions throughout a fluid.
- Bernoulli's Principle relates the pressure of a fluid to its velocity. As velocity increases, pressure decreases.
- Boyle's Law states that as a gas is compressed into a smaller space, its pressure increases.
This document discusses key principles relating to fluids and their properties:
- Archimedes' Principle explains how buoyancy allows objects to float if the fluid displaced weighs more than the object.
- Density measures the mass per unit volume of a substance.
- Pascal's Principle describes how pressure is transmitted equally in all directions throughout a fluid.
- Bernoulli's Principle relates the pressure of a fluid to its velocity. As velocity increases, pressure decreases.
- Boyle's Law states that as a gas is compressed into a smaller space, its pressure increases.
Archimedes' principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle was formulated by Archimedes of Syracuse and is fundamental to fluid mechanics. The principle allows calculation of the buoyant force on a partially or fully submerged object based on the weight of fluid it displaces. When the buoyant force equals the weight of the object, it will float, as it displaces a weight of fluid equal to its own weight.
Archimedes' principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density. If an object's density is greater than the fluid, it will sink, and if its density is less than the fluid, it will float. The upthrust force reduces the apparent weight of the submerged object. Applications of Archimedes' principle include determining ship drafts, submarine depths, and fluid densities using instruments like hydrometers.
Archimedes' principle states that when an object is fully or partially submerged in a fluid, it experiences an upthrust equal to the weight of the fluid displaced. This principle explains why objects float or sink based on their density. If an object's density is greater than the fluid, it will sink, and if its density is less than the fluid, it will float. The upthrust force reduces the apparent weight felt by submerged objects. Archimedes' principle applies to ships, submarines, hot air balloons, and other objects interacting with fluids. It allows calculation of fluid density based on measurements of weight changes when objects are submerged.
Archimedes' Principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle explains why objects float or sink based on an object's density compared to the fluid. It also explains why objects seem lighter when submerged. Applications of Archimedes' Principle include determining the depth ships sit in water based on water temperature and density, how hot air balloons rise and fall, and how submarines control their buoyancy using ballast tanks.
1) Archimedes was a famous Greek mathematician, engineer and inventor born around 287 BC in Syracuse, Sicily.
2) He made significant contributions to mathematics, including calculating approximations of pi and inventing a system to represent extremely large numbers.
3) Archimedes invented many mechanical devices, including weapons to defend Syracuse from Roman attack such as large claws and mirrors to set fire to ships.
4) He is renowned for his discoveries around buoyancy and density that allowed him to determine whether a crown was pure gold or adulterated, crying "Eureka!" upon his realization.
Archimedes was a famous Greek mathematician and inventor who lived in Syracuse in the 3rd century BC. He made important discoveries in geometry and mechanics, including establishing the science of hydrostatics and formulating Archimedes' principle of buoyancy. He is also credited with inventing the hydraulic screw pump for raising water. The document provides details on Archimedes' life and accomplishments, including using his principle of buoyancy to prove that a golden crown was not pure gold as claimed.
The document discusses floating and sinking concepts including:
1) Objects float if they are less dense than the fluid they are in and sink if more dense. Density is mass divided by volume.
2) Archimedes' principle states the buoyant force on an object equals the weight of the fluid it displaces.
3) Objects can change their density and therefore floating/sinking by changing their mass like submarines, or volume like ships.
The document discusses Archimedes' principle and buoyancy, and presents a student project to build a barge using tin cans.
Archimedes' principle states that the upward buoyant force on an object equals the weight of the fluid it displaces. Buoyancy is the upward force produced by a fluid that opposes the weight of an object submerged or floating in it.
The student project involves connecting tin cans with tape and plastic bottles to form a barge shape. Applying Archimedes' principle, they ensure the cans are tightly packed so the barge will float, with the upward buoyant force equaling the weight of the water displaced.
This document discusses Archimedes' principle of buoyancy. It explains that Archimedes' principle states that when an object is submerged in a fluid, it experiences an upward force equal to the weight of the fluid displaced. This upward force is called upthrust or buoyant force. The principle explains why objects float or sink based on an object's density compared to the fluid density. Applications of the principle include ships, submarines, hot air balloons, and hydrometers.
Archimedes was born in 287 BC in Syracuse, Greece. He died in 212 BC when he was killed by a Roman soldier who did not know his identity. Archimedes' father was named Phidias and may have been related to Hieron II, the king of Syracuse. Archimedes' Principle states that when a body is immersed partially or fully in a fluid, it experiences an upward force equal to the weight of the fluid displaced by the body. This upward force is called the buoyant force. The buoyant force depends on the volume of the body immersed and the density of the fluid. An experiment is described to verify Archimedes' Principle by measuring the loss in weight of a
1) Archimedes was an ancient Greek mathematician who lived in the 3rd century BC and made important contributions to mathematics, including discovering the principle of buoyancy.
2) According to Archimedes' principle, a body submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the body.
3) Archimedes' principle is applied in ship and submarine design, as well as in hydrometers and lactometers to measure density and purity of liquids.
Archimedes was a Greek mathematician and inventor from Syracuse, Sicily. He made many important discoveries and inventions including:
- The principle of the lever and understanding how it can be used to lift heavy objects with ease.
- The compound pulley and hydraulic screw for raising water.
- His most famous discovery, known as Archimedes' principle, which states that the buoyant force on an object immersed in fluid is equal to the weight of the fluid it displaces.
- He applied his knowledge of mechanics and physics to defend Syracuse against the invading Romans by inventing war machines like catapults. However, after the city fell, Archimedes was killed by a Roman soldier despite his request
Archimedes made accurate approximations of Pi by drawing polygons inside and outside circles and using the formula for the area of a circle. He established rules of density that are still used today, such as determining if objects will float based on their density. While bathing, Archimedes discovered that submerging objects in water causes displacement, allowing differentiation between their weight and the weight of the displaced water, laying the foundations for understanding buoyancy which is crucial in ship design and submarine warfare.
Archimedes made accurate approximations of Pi by drawing polygons inside and outside circles and using the formula for the area of a circle. He established rules of density that are still used today, such as determining if objects will float based on their density. While bathing, Archimedes discovered that submerging objects in water causes displacement, allowing differentiation between the weight of objects. This principle of buoyancy is important for ship manufacturing and operation.
Archimedes' principle states that the buoyant force on an object submerged or partially submerged in a fluid is equal to the weight of the fluid the object displaces. This principle explains that the apparent weight of an object decreases when submerged due to an upward force equal to the weight of the displaced fluid. The principle also applies to objects floating on a fluid, where the weight of fluid displaced equals the weight of the floating object.
Archimedes (287-212 BC) was a famous Greek mathematician and inventor. He created a mechanical planetarium that showed the motions of celestial bodies. He also invented the Archimedes' screw, which uses a screw inside a hollow pipe to lift water for irrigation. Archimedes made important contributions to mathematics, including calculating pi more accurately and developing a method for calculating the surface area of spheres. He also studied levers, pulleys, and buoyancy, laying the foundations for modern engineering.
This document discusses key principles relating to fluids and their properties:
- Archimedes' Principle explains how buoyancy allows objects to float if the fluid displaced weighs more than the object.
- Density measures the mass per unit volume of a substance.
- Pascal's Principle describes how pressure is transmitted equally in all directions throughout a fluid.
- Bernoulli's Principle relates the pressure of a fluid to its velocity. As velocity increases, pressure decreases.
- Boyle's Law states that as a gas is compressed into a smaller space, its pressure increases.
This document discusses key principles relating to fluids and their properties:
- Archimedes' Principle explains how buoyancy allows objects to float if the fluid displaced weighs more than the object.
- Density measures the mass per unit volume of a substance.
- Pascal's Principle describes how pressure is transmitted equally in all directions throughout a fluid.
- Bernoulli's Principle relates the pressure of a fluid to its velocity. As velocity increases, pressure decreases.
- Boyle's Law states that as a gas is compressed into a smaller space, its pressure increases.
Archimedes' principle states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. This principle was formulated by Archimedes of Syracuse and is fundamental to fluid mechanics. The principle allows calculation of the buoyant force on a partially or fully submerged object based on the weight of fluid it displaces. When the buoyant force equals the weight of the object, it will float, as it displaces a weight of fluid equal to its own weight.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
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Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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1. Acknowledgements
We would like to express our special thanks to our physics
teacher, Swapna Ma'am for their able guidance and support
in completing our investigatory project on "Verification of
Archimedes Principle".
We would like to extend our thanks of gratitude to our
Principal ma'am Mrs Dr. Manju Reji for the fruitful guidance
and for providing us with all the neccessary facilities that was
required to do this project.
We would also like to thank our parents and friends who
helped us with their valuable suggestions, guidance and
support for completing this project within the limited time
frame.
Page 1
2. Table of Content
2-3
4-6
Introduction
His Acheivements
7-9
10
What is the Archimedes
Principle
The Story behind the
principle's discovery
11
Applications/Uses of The
Principle
12-13
Buoyancy and the
Archimedes Principle
14-17
Verification of
Archimedes Principle
Experiment
Bibliography 18
Page 1
3. Introduction
Archimedes (c. 290-280 BC,
Syracuse – 212/211 BC,
Syracuse),was a legendary Greek
inventor and mathematician. His
main discoveries were
Archimedes' screw, an innovative
device for raising water, and the
hydrostatic or Archimedes'
principle.
His main interests were
mechanics, pure mathematics &
astronomy. Archimedes'
mathematical proof shows both
bold originality and rigor that
meets the highest standards of
modern geometry.
He resided in Syracuse for most
of his life but did live in Egypt for
his higher education. Archimedes
had a very close relationship with
the king of that time, Hieron II.
He was the master mind behind
the war machines used for
defense of Syracuse against the
siege laid by the Romans in 213
BCE.
His approximation to π did not
improve until the end of the
Middle Ages, and the translation
of his work had a significant
impact on 9th century Arabian
mathematicians & 16th and 17th
century European
mathematicians. In his hometown
of Syracuse, he was known as a
genius in the design of siege and
counterattack weapons. He was
killed by a Roman soldier during
the capture of the city.
Page 2
4. Introduction
These war machines were so
effective that they long delayed
the capture of the city. Unlike
other ancient scientists, far more
details are found about
Archimedes. Thus, he is credited
with the invention of the
Archimedes screw.
The story of him leaping from
the bath and running naked after
getting the idea behind the task
assigned to him and shouting
“Eureka!” (“I have found it”) is a
very popular moment in physics.
Equally there are stories where he said “Give me a place to stand and I
will move the Earth” and that a Roman soldier killed him because he
refused to leave his mathematical diagrams.
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5. His Acheivements
1.The Archimedes Principle
Archimedes’ principle states
that a body immersed in a
fluid is subjected to an
upwards force equal to the
weight of the displaced fluid.
2. The Claw of Archimedes
During the Roman invasion,
to defend themselves, he
created a hook that could
latch on to the enemy’s ship
and sink it. This was also
called the ‘iron hand’.
3. Evaluation of π
Archimedes was the one who
derived the approximate value of
π as 3.14 or 22/7.
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6. 5. The Law of Lever
It shows that if the distance a from the fulcrum to where the input
force is applied (point A) is greater than the distance b from
fulcrum to where the output force is applied (point B), then the
lever amplifies the input force.
His Acheivements
4. The Formula for Surface Area
and Volume of Sphere
Archimedes was able to calculate the surface area as well as the
volume of the sphere by first calculating the surface area of the
sphere using 6πr2. The volume is 2πr3. This made it easier for us
to calculate surface area and volume of any sphere.
6. Archimedes Screw
It was invented to pump water from a lower level to higher level.
It worked against the gravity. This helped many farmers to
irrigate their lands and is still used in modern days for various
purposes.
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7. This parabolic mirrored structure was used to concentrate sunlight
over a particular area on a ship which would then catch fire,
ultimately leading to the sinking of the ship. This was created as a
defense mechanism for his native land.
His Acheivements
6. Archimedes Death Ray
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8. Archimedes’ principle deals with the forces applied to an
object by fluids surrounding it. This applied force reduces
the net weight of the object submerged in a fluid. Let us
familiarize ourselves with Archimedes’ principle.
Archimedes’ principle states that:
“The upward buoyant force that is exerted on a body
immersed in a fluid, whether partially or fully submerged,
is equal to the weight of the fluid that the body displaces
and acts in the upward direction at the center of mass
of the displaced fluid”.
The value of thrust force is given by the Archimedes law
which Archimedes of Syracuse of Greece discovered.
When an object is partially or fully immersed in a liquid,
the apparent loss of weight is equal to the weight of the
liquid displaced by it.
For example, a ship that is launched sinks into the ocean
until the weight of the water it displaces is just equal to its
own weight.
What exactly is the Archimedes
principle?
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9. If you look at the figure, the weight
due to gravity is opposed by the thrust
provided by the fluid. The object
inside the liquid only feels the total
force acting on it as the weight.
Because the actual gravitational force
is decreased by the liquid’s upthrust,
the object feels as though its weight is
reduced. The apparent weight is thus
given by:
What exactly is the Archimedes
principle?
Archimedes’ Principle Explanation -
Apparent weight= Weight of object (in the air) – Thrust force
(buoyancy)
Archimedes’ principle tells us that the weight loss is equal to the
weight of liquid the object displaces.
Archimedes’ Principle Formula -
In simple form, the Archimedes law states that the buoyant force on
an object is equal to the weight of the fluid displaced by the object.
Mathematically written as:
Fb = ρ x g x V
Where Fb is the buoyant force, ρ is the density of the fluid, V is the
submerged volume, and g is the acceleration due to gravity
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10. We know that the density is defined as:
Density(ρ)=Mass(M)/Volume(V)
What exactly is the Archimedes
principle?
Archimedes’ Principle Derivation -
Therefore, the mass of the displaced liquid can be written as follows:
Mass(M)=Density(ρ)Volume(V)
Now, the weight of the displaced liquid can be calculated as follows:
Weight=Mass x Acceleration due to gravity
Now, the weight of the displaced liquid can be calculated as follows:
Weight=Mass x Acceleration due to gravity
Weight=Mass x g = ρ x V x g
From Archimedes’ principle, we know that the apparent loss of
weight is equal to the weight of the water displaced therefore the
thrust force is given by the following equation:
Thrust Force = ρ x V x g
Now, the weight of the displaced liquid can be calculated as follows:
Weight=Mass x Acceleration due to gravity
Where ρ is the density of the liquid, V is the volume of liquid
displaced and g is the acceleration due to gravity.
The thrust force is also called the buoyant force because it is
responsible for objects floating. Thus, this equation is also called the
law of buoyancy.
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11. King Hieron II, The Then King of
Syracuse had commissioned a goldsmith
to make a crown of pure gold. For this
purpose, the king gave the goldsmith a
gold bar with the mass mB = 1 kg. The
goldsmith made him a crown of mass
mk = 1 kg. Although the king liked the
artistic design of the crown, he was
troubled by doubts as to whether it was
really made of gold or whether the
goldsmith had added cheaper silver and
taken the gold for himself. Therefore, he
commissioned Archimedes to devise a
The story behind The Discovery of
the Principle
method by which this could be determined without damaging the crown.
The story was first written down in the first century B.C. by Vitruvius, a
Roman architect.
Archimedes thought long and hard but could not find a method for proving
that the crown was not solid gold. Soon after, he filled a bathtub and noticed
that water spilled over the edge as he got in and he realized that the water
displaced by his body was equal to the weight of his body. Knowing that gold
was heavier than other metals the crown maker could have substituted in,
Archimedes had his method to determine that the crown was not pure gold.
". This is the story behind The Discovery of Archimedes Principle.
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12. The Archimedes principle is extremely useful for calculating the
volume of an object that doesn’t have a regular shape. The oddly
formed item can be submerged, and the volume of the fluid displaced
is identical to the extent of the item. It can also be used in calculating
the density of unique gravity of an item.
1.
Uses Of The Principle
2. Archimedes principle has proved to be useful in determining the
purity of substances.
Example: to measure the volume of an egg , which is an
irregularly shaped object, we can fill up a glass with water, put
an egg in the glass and measure the water that rises up (or spills
out), and hence we find the volume of the egg.
Example: Lactometer is an instrument that is
used to check the purity of milk. It works
according to Archimedes’ principle.
Lactometers measure the density of the milk,
which helps in finding the contents present
in milk and determine its purity. Milk is kept
undisturbed for a while until the cream
deposits on it, and then the lactometer is
placed in this milk sample, if the
lactometer floats it means that milk is pure,
but if the lactometer sinks, it means milk is
adulterated or impure.
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13. Buoyancy: The tendency of a body to float or to
rise when submerged in a fluid is known as
buoyancy. All liquids and gases in the
presence of gravity exert an upward force
known as the buoyant force on any object
immersed in them. Buoyancy results from the
differences in pressure acting on opposite
sides of an object immersed in a static
fluid.An object sinks in water if its density is
greater than that of water and floats in water if
its density is less than that of water.
Buoyancy and Archimedes Principle
Relating Archimedes Principle and
Buoyancy:Archimedes's principle states
that the buoyant force on an object is
equal to the weight of the fluid
displaced by the object. This means,To
determine the buoyant force on an
object, we will only have to find the
weight of the fluid displaced by the
object.
.:Loss in weight of body = Weight of
liquid displaced by the body = Buoyant
force exerted on the body.
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14. When a ship floats, it displaces some water below it. A part of the ship's
hull will remain immersed in water. Here the volume once occupied by
water is now occupied by the ship.
The principle is, in order to remain afloat, the mass of the whole ship
should be less (or equal to) than the mass of the quantity of water
displaced by the ship.
More heavier the ship, more water it displaces.
How does a Ship Float? : The structure of the ship is very important when it
comes to floating. The design of the ship must ensure that it can displace
water equal to the ship's own weight, as stated by Archimedes' principle.
There are three basic concepts that explain how and why a ship can float:
The hull of a ship contains an adequate quantity of air which makes the ship
less dense than water, which satisfies the law of flotation.The density of the
ship—including the cargo, crew, and components—must be less than the
density of water in order for the ship to float on top of the water. The air in
the hull makes the density of the ship lower than the density of water.
Buoyancy and Archimedes Principle
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15. 500 ml beaker filled with tap water
500 ml beaker filled with saturated salt solution
Overflow can
250 ml beaker
Weighing scale
Wooden base
Rectangular copper block (S1)
Spring balance
1.
2.
3.
4.
5.
6.
7.
8.
To verify the archimedes principle
Verification Of Archimedes Principle
Experiment
Objective -
Apparatus Required -
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16. Hang a spring balance on an iron stand using a clamp.
Note the least count of the spring balance.
Take one of the solid blocks (S1) and weigh it by hanging it on
the hook of the spring balance using a thread. Find the weight of
the solid in air (Wa) and note it.
Take two beakers (each of 250 ml) and mark them as A and B.
Weigh them on a balance separately and note down the mass of
beaker A and B.
Take an overflow can and fill it with water to the brim of the
outlet and place beaker A below the overflow outlet of the can to
collect the displaced water. Now, start lowering the metallic block
(S1), still attached to the spring balance into the water of the
overflow can.
Note the loss of weight of the metallic block as it gets completely
immersed in the water. Weigh beaker A which contains the
displaced water and note the mass. To find the mass of the water
displaced, subtract the initial mass of beaker A (without
displaced water) from the present mass of the beaker A
(containing displaced water).
1.
2.
3.
4.
5.
6.
(weight of Beaker A + Displaced water) - weight of empty beaker A =
Weight of water displaced by completely immersing block (S1)
Verification Of Archimedes Principle
Experiment
Proceedure -
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17. 7. Repeat the experiment using the metallic block S1 by completely
immersing it in the strong salty water in the overflow can. Note
the loss in weight S1 by immersing it in the strong salt solution.
Find the mass of the salt solution displaced and collected in the
beaker.
(weight of Beaker B + Displaced salt solution ) - weight of empty
beaker A = Weight of salt solution displaced by completely immersing
block (S1)
Verification Of Archimedes Principle
Experiment
Observations -
Weight of metallic block S1 in air = .....850.... g wt.
Mass of empty beaker = .....110....... g.
Weight of the block (S1) after immersed in solution =
....750... g wt.
New mass displayed in the digital balance = .....210.... g.
Loss of weight of block in air = ...100.... g wt.
Mass of water displaced (m) = ....100... g.
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