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Solved: Transverse waves on a string have wave speed 8.00
Chapter 15, Problem 7E(choose chapter or problem)
Problem 7E
Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the − x-direction, and at t = 0 the x = 0 end of the string has its maximum upward displacement. (a) Find the frequency, period, and wave number of these waves. (b) Write a wave function describing the wave. (c) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s. (d) How much time must elapse from the instant in part (c) until the particle at x = 0.360 m next has maximum upward displacement?
Questions & Answers
QUESTION:
Problem 7E
Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the − x-direction, and at t = 0 the x = 0 end of the string has its maximum upward displacement. (a) Find the frequency, period, and wave number of these waves. (b) Write a wave function describing the wave. (c) Find the transverse displacement of a particle at x = 0.360 m at time t = 0.150 s. (d) How much time must elapse from the instant in part (c) until the particle at x = 0.360 m next has maximum upward displacement?
ANSWER:Solution 7E
Introduction
We have to calculate the different parameter for the wave from the given parameter. Then we have to write the wave equation. Then from the wave equation we have to calculate the displacement of the particle at given time.
Step 1
We know that
Speed of the wave
Wavelength
Amplitude
Hence the frequency is
Time period is
Wavenumber