1. The document discusses various concepts related to measurement including length, area, volume, mass, density, and time. It describes the fundamental International System of Units (SI units) used to measure these physical quantities.
2. Methods for measuring length include using metre rules, tape measures, and estimating techniques. Area can be measured for regular shapes using formulas and irregular shapes can be divided into regular portions. Volume is measured using formulas for regular solids and displacement methods for irregular solids.
3. Mass is measured using balances, density is a ratio of mass to volume, and time intervals are recorded using stopwatches or clocks depending on the needed accuracy. Standardizing measurement systems and defining base SI units has allowed
Physical Quantities--Units and Measurement--Conversion of UnitsKhanSaif2
This presentation covers physical quantities and their types, units and their types, conversion of units and order of magnitude in a very interactive manner. I hope this presentation will be helpful for teachers as well as students.
1.1 Introduction to physics
1.2 Physical quantities
1.3 International system of units
1.4 Prefixes (multiples and sub-multiples)
1.5 Scientific notation/ standard form
1.6 Measuring instruments
• meter rule
• Vernier calipers
• screw gauge
• physical balance
• stopwatch
• measuring cylinder
An introduction to significant figures
In this Topic let's learn about decimals:
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.
The Earth pulls all objects to its centre. This pull is called the force of gravity or gravitational force.
The weight of an object is the pull of the Earth on the object.
Physical Quantities--Units and Measurement--Conversion of UnitsKhanSaif2
This presentation covers physical quantities and their types, units and their types, conversion of units and order of magnitude in a very interactive manner. I hope this presentation will be helpful for teachers as well as students.
1.1 Introduction to physics
1.2 Physical quantities
1.3 International system of units
1.4 Prefixes (multiples and sub-multiples)
1.5 Scientific notation/ standard form
1.6 Measuring instruments
• meter rule
• Vernier calipers
• screw gauge
• physical balance
• stopwatch
• measuring cylinder
An introduction to significant figures
In this Topic let's learn about decimals:
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.
The Earth pulls all objects to its centre. This pull is called the force of gravity or gravitational force.
The weight of an object is the pull of the Earth on the object.
Matter is anything which occupies space and has mass.
There are three states of matter:
1.solid
2. Liquid
3. Gas
Volume is an important quantity which is useful in the calculation of the density.
Watch the Video
https://youtu.be/hFiczFZqD28
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Determination of DensityRequired materials provided in tmackulaytoni
Determination of Density
Required materials provided in the Home Science Tools chemistry kit:
100mL graduated cylinder, balance (scale)
Required materials
not
provided in the Home Science Tools chemistry kit:
cell phone (with camera), metric ruler, 25-30 pennies, graph paper
Objectives:
to find the density of regular-shaped and irregular-shaped substances including graphing techniques
Introduction:
Density
is the intensive property of matter defined as the ratio of an object’s mass to its volume. In simpler words, density is the mass of an object divided by the volume which the object occupies. The term
intensive property
means that it is
independent
of the amount of the substance. The density of any substance remains the same, no matter the shape and size of the sample. The density of water at 4°C is 1.000 g/mL regardless if the sample size is 1 cup or 1 swimming pool. Thus, density is one of the characteristic properties which allows us to identify substances; it is fixed and has a unit of g/mL. As such, it is a useful tool to identify an unknown metal. One can calculate the density of an unknown metal and can match the value against a standard density table for its identification.
The density of a substance does change with a change in temperature. This change in density is
inversely proportional
to the change in temperature. This is to say, if the temperature rises, then the density decreases, and if the temperature falls, then the density increases. Cooling a substance causes its molecules to occupy a smaller volume, resulting in an increase in density. Hot water is less dense and will float on room-temperature water. Cold water is denser and will sink in room-temperature water.
Densities of various substances can be identified differently. For
regular
(shaped)
solids
, calculating the density is straightforward: simply weigh the solid and measure its dimensions, using a simple formula to calculate the volume. The density is calculated by dividing the mass by the volume. Each regular solid has its own formula for calculating its volume depending on the shape of the solid. The volume of a
rectangular
solid equals length times width times height. Note: 1 mL = 1 cm3. For
irregular
(shaped)
solids
, those that do
not
have a standard formula for calculating their volume, the volume can be determined by measuring the volume of liquid that the solid displaces. To do this, the solid is submerged in a liquid and the volume displaced is measured. This is done by taking an initial reading and a final reading and calculating the difference in volume. The mass of the object is then divided by this volume, and the density is determined.
Measuring the density of a liquid is very similar. Although the volume cannot be measured with a ruler, it can be determined using volumetric glassware, for instance, a graduated cylinder. The liquid’s mass is determined when this measured volume is weighed. Knowing the ...
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.
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The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
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How to Add Chatter in the odoo 17 ERP ModuleCeline George
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2. All measurements in physics, even of such things as density,
are related to the three chosen fundamental quantities of
length,mass, and time.until about the year 1800 ,workers in
various countries used different systems of units. Thus ,while the
English used inches, a continental scientist would measure
lengths in centimeters. Fortunately, this situation has now
changed by the efforts of various international committees of
scientists who have met for discussion regularly over many
years.
3. When we measure something ,we are
determining its size or magnitude.
To carry out any measurement we need to
know :
1.the quantity being measured.
2.the unit for measuring it.
4. In 1960 ,scientist agreed on one international
system of units to be used, International System
of Units ,shortened to SI units ,in all languages.
5. There are seven basic physical quantities and
units from which other quantities can be derived.
The seven basic quantities ,their symbols and SI
units are given in Table 1.1 below.
6. Other quantities can be formed from these
quantities for example;area ,volume
,density,acceleration and charge. These quantities
are called derived physical quantities.
7. LENGTH
Length is a measure of distance between two
points. Breadth ,width,height,radius,depth and
diameter are all lengths. THE SI unit of length is
the metre(m).
8. Example : convert the following;
a)1000 km into m
b)270 Hm into dm
c)100 m into mm
d)100 mm into Hm
9. Measurement of Length
Length can be determined by estimation or
accurately by using a measuring instrument.
There are various instruments for measuring
length. Some instruments used to measure
length are metre rule and tape-measure.
10. Metre Rules
They are graduated in centimetres and
millimeters.
When using a metre rule:
•Place the metre rule in contact with the object
•Place the end of the object against the zero mark on the scale.
•Position your eye perpendicularly above the scale.
11. Figure shows the inaccurate use of the rule. The arrangement will
not give us affair result because:
•The rule is not in contact with the object.
•The object is not aligned to the zero mark on the scale
•The position of eye is not perpendicular to the scale.
12. Example 1
What are the readings indicated by arrows P1,
P2, and P3 on the metre rule in figure 2.3?
(Diagram not to scale)
14. Tape Measure
There are several types of the tape
measures,ie:tailor`s carpenter`s and surveyor`s
types. The choice of tape measure is determined
by the nature of the distance to be measured.
Always ensure that the tape measure is taut
when measuring.
15. Measurement of Curved Length
Curved lengths such as roads and railways
lines on a map or dimensions of some containers
can be measured using a thread. For curved
surfaces such as a cylinder,a thread is closely
wrapped around the surface a number of times.
16. EXPERIMENT 2.1:
To measure the circumference of a cylinder
using a cylinder using a thread.
•Measure the length between the ink marks and call it a1 . repeat three
times, recording the readings as a2 and a3 to ensure accuracy of your measurement.
Find the average length a;
17. Divide the average length by 10 to find the
length of one turn. This gives the circumference
of the cylinder. Thus;
18. Estimation of Length
One may to wish to know which of several
objects is the largest. This could be established
by comparing the sizes of the object directly. At
times ,it is better to compare all of them with
that of a chosen basic length called a standard
length.
The estimation of sizes of various objects such
as the height of tree,flagpost or the length of
rope possible by comparing with standard
lengths.
21. Example 2:
Hamad found that the width of her desk was
approximately 10 palm-lengths. If his palm was
15.0 cm long ,what was the width of her desk in
centimetres?
24. AREA
Area refers to the measure of surface.It is
derived quantity of length.The SI unit of area is
the square metre,written as m2 .It can also be
measured in multiples and sub-multiples of
m2,for example ; cm2 and km2
27. Measurement of Area
Area of regularly-shaped objects
The area of regularly-shaped surfaces such as
rectangles,triangles and circles can be obtained
by applying the appropriate formula.
32. Area of irregularly-shaped surfaces
The area of an irregular shaped surface can be
estimated by dividing it into smaller regular
shapes for example squares whose sides are 1
cm in length.
A=no. of complete squares+1/2 (no. of
incomplete squares)
36. Volume
Volume is the amount of space occupied by
matter.
The SI unit of volume is the cubic metre(m3).
1 m3=1m x 1m x 1m
= 100 cm x 100 cm x 100 cm
= 1000 000 cm3
Other units like litres (l) and millilitres (ml) are also
used.
1ml= 1cm3
1000 ml=1litre
1m3=1000 000 cm3
49. Measurement of Volume of
Liquids
Liquids have no definite shape, but
assume the shapes of the containers in
which they are put.
50. One of the methods which can be used to
measure the volume of a liquid is to pour the
liquid into a container with a uniform cross-
section ,as shown in figure 2.8.
51. The height of the liquid,h is
measured.The volume of the liquid is then
obtained by applying the formula;
52. The graph of V against h is the a
straight line,indicating that height
increases with the increase of volume V.
Measuring devices which are marked off
like this are called measuring cylinders.
They are used to measure volumes of
liquids.
Measuring cylinders are made of glass
or transparent plastic and graduated in
cm3 or ml.
53.
54. Note:
1.The scale of the burette begins from zero at
the top and increases downwards to the
maximum value.
2.The reading of volume is taken with the eye
positioned in level with the bottom of the
meniscus,see figure 2.11.
55. Measuring the Volume of an
Irregularly-Shaped Solid
Volumes of irregular solids are
measured using the displacement
method.The method works with solids
that are not soluble in water, do not
absorb water, do not react with water and
sink in water.
56. EXP.2.5:To determine the volume of
an irregularly-shaped object
a)Using a measuring cylinder
Apparatus:Measuring cylinder,stone,thread and
Eureka can.
58. b) Using Eureka can
A eureka or displacement can is a
container with a spout from the side.It is
used to measure volumes by
displacement method.It is also known as
an overflow can.
59. Result: The volume of water collected in the
measuring cylinder is the volume of the object.
60. EXP.2.6: To determine the volume of
an object that floats on water
using the displacement can
Apparatus : Eureka can,measuring
cylinder,floating object and a sinker(small metal
block).
61. When finding the volume of an
object that floats on water,e.g.,a
cork, another object that sinks in
water is attached to it so that both
are totally submerged. This object is
known as a sinker.
Results :
The water collected in the
measuring cylinder is the volume of
sinker and cork. Call it V2.so, the
volume of the cork V=V2-V1
63. MASS
The mass of an object is the
quantity of matter in it.Matter is
anything that occupies space.The
mass of an object depends on its
size and the number of particles it
contains.
64. The SI unit of mass is the
kilogram(symbol kg).The commonly used
sub-multiples and multiples of kilogram
are given table 2.6.
65. The mass of an object is the
same everywhere because the
number of particles in an object
remains constant.
66. Measurement of Mass
There are two common types
of balances for measuring
mass,namely,the electrical and
the mechanical types.
70. DENSITY
The density of a substance is defined as its
mass per unit volume.Its symbol is rho(p) and
its SI unit is kilogram per cubic metre
(kg/m3).Another commonly used unit is gram
per cubic centimetre(g/cm3).
From definition, the density of a substance is
given by:
71.
72.
73.
74.
75.
76. Measurement of Density
To measure the Density of a Solid
The density of the object is then calculated
from the formula:
77.
78. Exp 2.8: To find the density of a
liquid
Apparatus : clean dry beaker, balance,
measuring cylinder, a burette or a pipette.
81. Density Bottle
A density bottle is a small glass bottle fitted
with glass stopper which has a hole through
which excess liquid flows out.
Normally, the density bottle has its capacity
indicated on the side.
82. To find the density of a liquid
using a density bottle
Measure the mass m1 of a clean dry density
bottle with its stopper.
Fill the bottle with liquid and replace the
stopper.
Dry the bottle on the outside.
Measure the mass m2 of the bottle plus the
liquid.
If the capacity of be is V, then
Density of liquid= (m2-m1)/V
83.
84. Exp :2.10: to measure the density
of a solid using a density bottle
This method is used for solids in form of
grains,beads or turnings.
Apparatus :
Density bottle
Lead shot
Beam balance
89. 5. Fill it with water and replace the stopper .
Wipe the outside dry and measure the mass m4
of the bottle filled with water.
90. mass of water = (m4-m1) g
Volume of water =m4-m1(density of water is 1g/cm3)
Volume of bottle =(m4-m1) cm3
Mass of lead shot =(m2-m1)g
Mass of water present when bottle is filled with lead shot
and water = (m3-m2)g
Volume of water =(m3-m2)cm3
Volume of lead shot =(m4-m1)-(m3-m2)
91. It should be noted that this method is
unsuitable for solids which are either soluble in
water or react with it.
92.
93.
94. Densities of mixtures
A mixture is obtained by putting together two
or more substances such they do not react with
one another. It is assumed that the volume of
the mixture is equal to the sum of the volumes
of the individual constituents.
95.
96.
97. Time
Time is a measure of duration of an event. The
SI unit of time is second(s).
Multiple and Sub-multiple units of the second
Microsecond µs 0.000001 seconds
Millisecond ms 0.001 seconds
Minute min 60 seconds
Hour hr 3600 seconds
Day day 86400 seconds
Week wk 604800 seconds
98. Measurement of Time
In laboratories ,intervals of time are measured
using either a stopwatch or stop-clock,depending
on the accuracy required.