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# A point on a string undergoes simple harmonic motion as a sinusoidal wave passes. When a sinusoidal wave with speed 24 m/s, wavelength 30 cm, and amplitude of 1.0 cm passes, what is the maximum speed of a point on the string?

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The frequency of the disturbance which is the linear frequency of the oscillating particle on the string is calculated as:

$f=v/\lambda=(24\:m/s)(0.3\:m)=80\:Hz$

At any point on the string, the maximum transverse speed is calculated as:

$v_{max}=\omega A=2\pi fA=2\pi(80\:Hz)(10^{-2}\:m)=5.0\:m/s$

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