Explain the function of sin used to represent a wave+.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 107P: Consider two wave functions y(x,t)=0.30cmsin(3m1x4s1t) and y(x,t)=0.30cmsin(3m1x+4s1t) . Write a...
icon
Related questions
icon
Concept explainers
Question

Explain the function of sin used to represent a wave+.

Expert Solution
Step 1

If a wave function is written as

Physics homework question answer, step 1, image 1

This is a wave that has used the sin function. The shape will be

Physics homework question answer, step 1, image 2

Just like any sin function, this wave will start from 0,0

 

Step 2

Physics homework question answer, step 2, image 1

This wave is having amplitude A, angular frequency w, wave no. K and is propagating in +ve x-direction.

But if the equation is

Physics homework question answer, step 2, image 2

This wave is propagating in -ve x-direction, This wave is also having amplitude A, angular frequency w, wave no. K.

+ represents -ve x-direction

 

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Properties of sound
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning