This document discusses standing waves, which occur when two waves of equal amplitude and wavelength traveling in opposite directions interfere. It defines nodes as points of no motion and antinodes as points of maximum amplitude. The distance between a node and antinode is always λ/4, where λ is the wavelength. Key equations are provided for calculating the wavelength, frequency, and location of nodes and antinodes for standing waves on strings. Examples are given for standing waves on guitar strings and how changing the tension affects the fundamental frequency.
Working through the concepts of constructive and destructive interference patterns of two waves, these slides include questions that serve to clarify interference conceptually and mathematically.
Working through the concepts of constructive and destructive interference patterns of two waves, these slides include questions that serve to clarify interference conceptually and mathematically.
This Learning Object 6 is based on Standing Waves. It gives a detailed description about what a standing wave is and how standing waves are formed. As well, the equations necessary to break down standing waves to get the amplitude, nodes, antinodes, etc are all included. Furthermore, a practice question is included along with a detailed solution to solve the problem with ease.
Physics 101 LO6 which explains the components of standing waves, generates its equation, and tests the understanding of students by creating a practice problem with a worked solution in the end.
The learning object focuses on the basics of standing waves and the formulas associated with the concept. There is a simple example at the end of the powerpoint and many formulas and descriptions along the way.
My Learning object describes what standing waves are, how to determine where the nodes and antinodes of a standing wave are and also about the fundamental and resonant frequencies. Their is a variety of questions from multiple choice, to true and false and also a problem solving question.
CBSE Physics/ Lakshmikanta Satapathy/ Wave Motion Theory/ Reflection of waves/ Traveling and stationary waves/ Nodes and anti-nodes/ Stationary waves in strings/ Laws of transverse vibration of stretched strings
This Learning Object 6 is based on Standing Waves. It gives a detailed description about what a standing wave is and how standing waves are formed. As well, the equations necessary to break down standing waves to get the amplitude, nodes, antinodes, etc are all included. Furthermore, a practice question is included along with a detailed solution to solve the problem with ease.
Physics 101 LO6 which explains the components of standing waves, generates its equation, and tests the understanding of students by creating a practice problem with a worked solution in the end.
The learning object focuses on the basics of standing waves and the formulas associated with the concept. There is a simple example at the end of the powerpoint and many formulas and descriptions along the way.
My Learning object describes what standing waves are, how to determine where the nodes and antinodes of a standing wave are and also about the fundamental and resonant frequencies. Their is a variety of questions from multiple choice, to true and false and also a problem solving question.
CBSE Physics/ Lakshmikanta Satapathy/ Wave Motion Theory/ Reflection of waves/ Traveling and stationary waves/ Nodes and anti-nodes/ Stationary waves in strings/ Laws of transverse vibration of stretched strings
It's about optic wave. Project given by my teacher because i had not attended her class for long time (for a reason), and skipped so many assignments. It's not so details, but hopefully it will be useful.
This LO gives you a simple easy to understand explanation of what a standing wave is (video included) and how it is different from a travelling wave. Afterwards a few sample questions are given to apply knowledge.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
2. WHAT IS A STANDING WAVE?
• When two harmonic waves of equal amplitude,
wavelength, frequency are moving in opposite direction
3. WHAT IS A STANDING WAVE?
Node = no motion at 0 amplitude
Antinode = maximum possible amplitude of 2
The node and antinode are λ/4 far apart.
λ/4
4. KEY EQUATIONS
• D(x,t) = 2Asin(kx)cos(ωt)
• Location of node
• When sin(2πx/λ) = 0, x = nπ
• Location of antinode
• When sin(2πx/λ) = ±1, x = (n+1/2) λ/2
5. KEY EQUATIONS
• Standing Wave on a string
• Fixed end of string -> length (L) = x
• λ = 2L/n where n = number of antinode in integers
• f = v/λ = nv/2L = n/2L * √T/μ
• fn = nf1 where f1 = fundamental frequency of a string
6. • Application of standing wave on instruments
• Both end closed/opened
• λ = 2L/n
• f = nv/2L = n/2L * √T/μ
• One end open and another one closed
• λ = 4L/n
• f = nv/4L = n/4L * √T/μ
KEY EQUATIONS
7. QUESTION 1
• A guitar string oscillates in a standing wave pattern after a
person plays with it.
• D(x,t) = 1.5sin(0.6x)cos(20πt)
• 1. What is the wavelength and the frequency?
• 2. What is the distance between two consecutive nodes?
8. SOLUTION
1. The wavelength (λ)
• D(x,t) = 1.5sin(6x)cos(30πt)
• D(x,t) = 2Asin(kx)cos(ωt)
• k = 2π/λ, λ= 2π/k = 2π/6 = 1.05 m
The frequency (f)
ω = 2πf , f = ω/2π = 30π/2π = 15 Hz
9. 2. The distance between two consecutive nodes
• λ = 2L/n where n = 1
• When there is one antinode, there are two nodes at both
ends
• The distance between two nodes is L.
• L = λ/2 = 1.05 m / 2 = 0.525 m
SOLUTION
11. QUESTION 2
• The guitar string has the length of 1.5m long fixed at both ends.
• It has a frequency of 300 Hz. The tension is increased by 10%.
• What is the new fundamental frequency of the string.
12. SOLUTION
• f = nv/2L = n/2L * √T/μ
• When the tension is increased by 10%, the T will increase to
1.1T
• f = n/2L * √T/μ = ½(1.5m)*√T/μ = 0.75√T/μ = 300 Hz
• f = 0.75√1.1*T/μ = 0.75√T/μ * √1.1 = 300 * √1.1 = 315 Hz
