Learning object #2
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The document discusses standing waves on a string that is 1 meter long and fixed at both ends. It explains that when the string is plucked at its fourth harmonic, nodes will occur at quarter, half, and three-quarter distances along the string. Specifically, the nodes will be located at 0.25 meters, 0.5 meters, and 0.75 meters. At these node locations, one can press down on the string without affecting the amplitude of the standing wave.
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Standing Waves on Strings
1) A string fixed at both ends can only oscillate in standing wave patterns with wavelengths given by λ=2L/m, where m is a positive integer.
2) The lowest frequency, called the fundamental frequency, corresponds to the longest wavelength of λ=2L.
3) Higher frequencies called harmonics have wavelengths given by λ=2L/m, where m is greater than 1.
Standing waves on strings
For my LO, I gave some general equations which can be applied for standing wave questions and explained about the pattern of first, second, third harmonic. Then, I gave examples of different standing wave types found in instruments by clarinet and flute. I used a powerpoint to display my learning objective.
Stationary waves
Stationary waves are produced by the superposition of two progressive waves of equal amplitude and frequency travelling in opposite directions. They have nodes where there is no displacement and antinodes where the displacement is at a maximum. In a stationary wave, the waveform does not move through the medium and energy is not carried away from the source. All particles between two nodes vibrate in phase.
Lo 6 standing waves
Standing waves occur when two waves of equal wavelength, frequency, and amplitude traveling in opposite directions interfere. The points of no displacement are called nodes, and the points of maximum displacement are called antinodes. A standing wave can be described by the equation D(x,t) = A(x)cos(ωt), where A(x) is the position-dependent amplitude. The distance between nodes and antinodes is λ/2, where λ is the wavelength. Standing waves are confined to a given space and do not transport energy like traveling waves.
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Standing waves lo
A standing wave is formed by two harmonic waves of equal amplitude, wavelength and frequency moving in opposite directions. When they collide, each segment of the string oscillates in simple harmonic motion (SHM). Nodes occur where the amplitude is zero, and antinodes occur where the amplitude is at a maximum of 2A. The fundamental frequency is the lowest frequency at which a string will oscillate, and higher harmonics are integer multiples of this frequency. Standing waves in instruments like flutes and guitars are responsible for producing musical notes. The document provides an example of calculating the wave speed, length, and first three harmonic frequencies of a guitar string with given properties.
Standing waves on Strings
This document discusses standing waves on strings. It defines key terms like nodes and antinodes. The fundamental frequency is the lowest frequency for a string of length L, and is determined by the longest wavelength of λ=2L. Examples are given to calculate the wave speed, number of reflections in a time period, and frequencies of different harmonics. The fundamental frequency is directly proportional to the square root of the tension and inversely proportional to the length and square root of the linear mass density. Decreasing the tension decreases the fundamental frequency.
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Standing Waves on Strings
1) A string fixed at both ends can only oscillate in standing wave patterns with wavelengths given by λ=2L/m, where m is a positive integer.
2) The lowest frequency, called the fundamental frequency, corresponds to the longest wavelength of λ=2L.
3) Higher frequencies called harmonics have wavelengths given by λ=2L/m, where m is greater than 1.
Standing waves on strings
For my LO, I gave some general equations which can be applied for standing wave questions and explained about the pattern of first, second, third harmonic. Then, I gave examples of different standing wave types found in instruments by clarinet and flute. I used a powerpoint to display my learning objective.
Stationary waves
Stationary waves are produced by the superposition of two progressive waves of equal amplitude and frequency travelling in opposite directions. They have nodes where there is no displacement and antinodes where the displacement is at a maximum. In a stationary wave, the waveform does not move through the medium and energy is not carried away from the source. All particles between two nodes vibrate in phase.
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Standing waves occur when two waves of equal wavelength, frequency, and amplitude traveling in opposite directions interfere. The points of no displacement are called nodes, and the points of maximum displacement are called antinodes. A standing wave can be described by the equation D(x,t) = A(x)cos(ωt), where A(x) is the position-dependent amplitude. The distance between nodes and antinodes is λ/2, where λ is the wavelength. Standing waves are confined to a given space and do not transport energy like traveling waves.
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A standing wave is formed by two harmonic waves of equal amplitude, wavelength and frequency moving in opposite directions. When they collide, each segment of the string oscillates in simple harmonic motion (SHM). Nodes occur where the amplitude is zero, and antinodes occur where the amplitude is at a maximum of 2A. The fundamental frequency is the lowest frequency at which a string will oscillate, and higher harmonics are integer multiples of this frequency. Standing waves in instruments like flutes and guitars are responsible for producing musical notes. The document provides an example of calculating the wave speed, length, and first three harmonic frequencies of a guitar string with given properties.
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Standing waves occur when vibrations move back and forth along a taut string or medium. Nodes remain fixed in place with zero amplitude, while anti-nodes oscillate with maximum amplitude. Harmonics refer to the frequencies of standing waves, with the fundamental frequency being the lowest. The third harmonic frequency is three times the fundamental frequency. Nodes experience destructive interference which causes their zero displacement. If the distance between the first and fourth nodes of a standing wave on a guitar string is 40 cm, then the original wave's wavelength is 26.7 cm.
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The document discusses standing waves on strings. It explains that standing waves are created by the interference of two waves moving in opposite directions along a fixed string. When the string is plucked on both ends, traveling waves in opposite directions result in standing waves. The wavelength of these standing waves depends on the length of the string and an integer value. The normal modes of vibration that occur provide the frequencies of the standing waves. Lower frequencies produce longer wavelengths and a lower note, while higher frequencies have shorter wavelengths and a higher note.
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What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdWound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Temple of Asclepius in Thrace. Excavation results
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...Nguyen Thanh Tu Collection
https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
(𝐓𝐋𝐄 𝟏𝟎𝟎) (𝐋𝐞𝐬𝐬𝐨𝐧 𝟏)-𝐏𝐫𝐞𝐥𝐢𝐦𝐬
𝐃𝐢𝐬𝐜𝐮𝐬𝐬 𝐭𝐡𝐞 𝐄𝐏𝐏 𝐂𝐮𝐫𝐫𝐢𝐜𝐮𝐥𝐮𝐦 𝐢𝐧 𝐭𝐡𝐞 𝐏𝐡𝐢𝐥𝐢𝐩𝐩𝐢𝐧𝐞𝐬:
- Understand the goals and objectives of the Edukasyong Pantahanan at Pangkabuhayan (EPP) curriculum, recognizing its importance in fostering practical life skills and values among students. Students will also be able to identify the key components and subjects covered, such as agriculture, home economics, industrial arts, and information and communication technology.
𝐄𝐱𝐩𝐥𝐚𝐢𝐧 𝐭𝐡𝐞 𝐍𝐚𝐭𝐮𝐫𝐞 𝐚𝐧𝐝 𝐒𝐜𝐨𝐩𝐞 𝐨𝐟 𝐚𝐧 𝐄𝐧𝐭𝐫𝐞𝐩𝐫𝐞𝐧𝐞𝐮𝐫:
-Define entrepreneurship, distinguishing it from general business activities by emphasizing its focus on innovation, risk-taking, and value creation. Students will describe the characteristics and traits of successful entrepreneurs, including their roles and responsibilities, and discuss the broader economic and social impacts of entrepreneurial activities on both local and global scales.
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
Agenda
● What is event processing in MuleSoft?
● Types of event processing models in Mule 4
● Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
Speaker:-
Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
Organizers:-
Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
Giridhar Meka - https://www.linkedin.com/in/giridharmeka
Priya Shaw - https://www.linkedin.com/in/priya-shaw
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
Walmart Business+ and Spark Good for Nonprofits.pdf
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
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.Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
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 ...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Topic : Bed making
Subject : Nursing Foundation
Leveraging Generative AI to Drive Nonprofit Innovation
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting
Wahiba Chair's Talk at the 2024 Learning Ideas Conference. Recently uploaded (20)
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
IGCSE Biology Chapter 14- Reproduction in Plants.pdf
IGCSE Biology Chapter 14- Reproduction in Plants.pdf
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Philippine Edukasyong Pantahanan at Pangkabuhayan (EPP) Curriculum
Mule event processing models | MuleSoft Mysore Meetup #47
Mule event processing models | MuleSoft Mysore Meetup #47
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Bed Making ( Introduction, Purpose, Types, Articles, Scientific principles, N...
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Learning object #2
- 1. NickKloostra 25553141 Section203 LO6- StandingWavesonStrings Question:Yourfriendstretchesastringacrossa distance of 1m, and attachesboth endsto a wall.He tellsyouthatwhenhe plucksthe string,itwill vibrate initsfourthharmonic.He betsyouthat you can’t guessthe distancesthathe can place his fingersdownonthe stringandnot affectthe amplitude of the wave.Atwhat distancescanthe situationdescribedabove occurat? Answer: At lengths 𝐿 4 , 𝐿 2 𝑎𝑛𝑑 3𝐿 4 youcan pressdownonthe stringandnot affectthe amplitude,soatthe distances of 0.25m, 0.5m and 0.75m. Explanation: Whena string of lengthL isstretchedandfixedatbothends,youcan sendwavesback andforth across the stringby pluckingit. These travellingwavesmovinginopposite directionscreate astandingwave on the string.A standingwave isa wave ina mediuminwhichthe frequency,amplitude andwavelengthof the two interferingwavesremainconstantthroughoutthe mediumonwhichitpropagates. Due to the interference of the initial wave andreflectedwave,the standingwave producesapatternof nodesandantinodes.Nodesoccurwhenthe amplitude remainsatrestat all times,andantinodesoccur whenthe amplitude of the wave isata maximum. More specifically, nodesoccurwhensin( 2𝜋 𝜆 x) =0, and antinodesoccurwhensin( 2𝜋 𝜆 x) =+/- 1. Because these nodesare infixedpositions,anddonotmove across the medium,the wave doesnotcarry energywithit.
- 2. Now, because the string in the question is helddown at both ends, the amplitude is always zero at the endsof the string.Knowingthatthe locationof the antinodesoccurwhen sin( 2𝜋 𝜆 x) =0, we can define 2𝜋 𝜆 L = mπ, where mis a positive non-zerointeger.Isolatingforλ at m, we findthat wavelengthisequal to 2𝐿 𝑚 when L= 1, 2, 3, 4, … Therefore, the longest wavelength is equal to 2L, and the lengths of the waves decrease proportionally to the equation derived above. These standing waves are called the normal modesof vibrationof the string.The frequenciescorrespondingtothe normal modesof vibration are as follows: f= 𝑣 𝜆 = 𝑚 2𝐿 𝑣 = 𝑚 2𝐿 √ 𝑇 µ The frequencieschangewithrespecttowavelengthbecausethe wavespeedof awaveonastringremains constant, so if wavelength increases, frequency must decrease, and vice versa. The lowest frequency corresponds to the fundamental frequency or first harmonic. The allowed frequencies after the first harmonic are called harmonics, or resonant frequencies. Soas wavelengthdecreases,the numberof nodesonthe standingwaveincrease,the frequency increases and the harmonic increases. Higher frequencies are associated with higher values of m. In the fourth harmonic, you can see that the wavelengthis equal to L/2. This means that there are three nodes, and that they occur at the lengths 𝐿 4 , 𝐿 2 𝑎𝑛𝑑 3𝐿 4 .