The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. (a) Determine the angular frequency for this wave (in rad/s). 31.4 rad/s (b) Determine the wave number for this wave (in rad/m). 3.6 x This is the wave length not the wave number. rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y= sin (d) Calculate the maximum transverse speed (in m/s). m/s

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Chapter16: Waves
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Problem 95P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...
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The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0
and t = 0.
(a) Determine the angular frequency for this wave (in rad/s).
31.4
rad/s
(b) Determine the wave number for this wave (in rad/m).
3.6
This is the wave length not the wave number. rad/m
(c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.)
y =
sin
(d) Calculate the maximum transverse speed (in m/s).
m/s
Transcribed Image Text:The string shown in the figure is driven at a frequency of 5.00 Hz. The amplitude of the motion is A = 14.0 cm, and the wave speed is v= 18.0 m/s. Furthermore, the wave is such that y = 0 at x = 0 and t = 0. (a) Determine the angular frequency for this wave (in rad/s). 31.4 rad/s (b) Determine the wave number for this wave (in rad/m). 3.6 This is the wave length not the wave number. rad/m (c) Write an expression for the wave function. (Use the following as necessary: t, x. Let x be in meters and t be in seconds. Do not include units in your answer. Assume SI units.) y = sin (d) Calculate the maximum transverse speed (in m/s). m/s
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