When a sinusoidal wave with speed 20 m/s , wavelength 35 cm and amplitude of 1.0 cm passes, what is the maximum speed of a point on the string?

To solve this problem it is necessary to apply the concepts related to frequency as a function of speed and wavelength as well as the kinematic equations of simple harmonic motion

From the definition we know that the frequency can be expressed as

Where,

Therefore the frequency would be given as

The frequency is directly proportional to the angular velocity therefore

Now the maximum speed from the simple harmonic movement is given by

Where

A = Amplitude

Then replacing,

Therefore the maximum speed of a point on the string is 3.59m/s

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