A transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, an element of the string at x = 0 has %3D %3D a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. (a) What is the amplitude of the wave? (b) What is the initial phase angle? (c) What is the maximum transverse speed of an element of the string?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 10P: A transverse wave on a string is described by the wave function y=0.120sin(8x+4t) where x and y are...
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I am confused on how to start this problem.  I know I need to use the y(x,t)=Asin(kx+wt+phi) formula, but do I need to take the derivative of that once I enter in all the variables?  I am referenceing the problem 14 in the pic I attached. Thanks!

A transverse sinusoidal wave on a string has a period T =
25.0 ms and travels in the negative x direction with a speed
of 30.0 m/s. At t = 0, an element of the string at x = 0 has
%3D
%3D
a transverse position of 2.00 cm and is traveling downward
with a speed of 2.00 m/s. (a) What is the amplitude of the
wave? (b) What is the initial phase angle? (c) What is the
maximum transverse speed of an element of the string?
Transcribed Image Text:A transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, an element of the string at x = 0 has %3D %3D a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. (a) What is the amplitude of the wave? (b) What is the initial phase angle? (c) What is the maximum transverse speed of an element of the string?
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