Transverse waves on a string have a speed of 8 m/s, amplitude 70 mm and wave length 320 mm. The waves travel in the negative x-direction, and at t 0 the x 0 end of the string has a zero displacement and is moving in the positive y-direction. a. Determine the frequency, period and wave number of these waves. b. Write a wave function describing the wave. c. Determine the transverse displacement of a particle at x = 360 mm and at time t = 0.150 s. d. How much time must elapse from the instant in part (c) until the particle at x = 360 mm next has a zero displacement?

Transverse waves on a string have a speed of 8 m/s, amplitude 70 mm and wave length 320 mm. The waves travel in the negative x-direction, and at t 0 the x 0 end of the string has a zero displacement and is moving in the positive y-direction. a. Determine the frequency, period and wave number of these waves. b. Write a wave function describing the wave. c. Determine the transverse displacement of a particle at x = 360 mm and at time t = 0.150 s. d. How much time must elapse from the instant in part (c) until the particle at x = 360 mm next has a zero displacement?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter17: Sound

Section: Chapter Questions

Problem 33P: A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

Transverse waves on a string have a speed of 8 m/s, amplitude 70 mm and wave length 320
mm. The waves travel in the negative x-direction, and at t = 0 the x 0 end of the string has
a zero displacement and is moving in the positive y-direction.
a. Determine the frequency, period and wave number of these waves.
b. Write a wave function describing the wave.
c. Determine the transverse displacement of a particle at x 360 mm and at
time t = 0.150 s.
d. How much time must elapse from the instant in part (c) until the particle at x =
360 mm next has a zero displacement?

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