Assume a transverse wave on a string described by y(x, t) = A cos(kx - ωt). a) The wave has an amplitude of 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. What is its frequency? b) What is the deflection of a particle of the string at time t = 5.00 s and position x = 10.0 cm? c) Find the maximum transverse speed vy of a particle of the string. Under what circumstances is it equal to the propagation speed of the wave?
Assume a transverse wave on a string described by y(x, t) = A cos(kx - ωt). a) The wave has an amplitude of 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. What is its frequency? b) What is the deflection of a particle of the string at time t = 5.00 s and position x = 10.0 cm? c) Find the maximum transverse speed vy of a particle of the string. Under what circumstances is it equal to the propagation speed of the wave?
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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Assume a transverse wave on a string described by y(x, t) = A cos(kx - ωt). a) The wave has an amplitude of 0.300 cm, wavelength 12.0 cm, and speed 6.00 cm/s. What is its frequency? b) What is the deflection of a particle of the string at time t = 5.00 s and position x = 10.0 cm? c) Find the maximum transverse speed vy of a particle of the string. Under what circumstances is it equal to the propagation speed of the wave?
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