A tuning fork attached to a stretched wire generates transverse waves. The vibration of the fork is

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A tuning fork attached to a stretched wire generates transverse waves. The vibration of the fork is perpendicular to the wire. Its frequency is 400 Hz, and the amplitude of its oscillation is 0.50 mm. The wire has linear mass density of 0.01 kg/m and is under a tension of 1kN. Assume that there are no reflected waves.

(a) Find the period and frequency of waves on the wire.

(b) What is the speed of the waves?

(c) What are the wavelength and wave number?

(d) Write a suitable wave function for the waves on the wire.

(e) Calculate the maximum speed and acceleration of a point on the wire.

(f) At what average rate must energy be supplied to the fork to keep it oscillating at a steady amplitude?

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