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A simple harmonic transverse wave is propagating along a string toward the right

ID: 1417359 • Letter: A

Question

A simple harmonic transverse wave is propagating along a string toward the right (or +x direction). The figure shows a plot of the displacement as a function of position at time t = 0. The string tension is F = 6.5 N and its mass per unit length is mu = 3.60 times 10^-2 kg/. Calculate the amplitude of the oscillation. what is the wavelength? what is the wave speed? 1.34times10^3 cm/s what is the period? what is the maximum speed of a particle in the string? 1.36 m/s what is the average power transmitted by this wave? 0.48 w

Explanation / Answer

a) amplitude = 0.82 cm

b) wavelength =   53 cm

c) period = 53/1340

                 = 0.0395 sec

d) maximum speed of particle = 13.40 m/sec

e) average power transmitted = F * v

                                                = 6.5 * 13.40 = 87.1 W

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