A very long wire can be vibrated up and down with a mechanical motor to produce waves traveling down the wire. At the far end of the wire, the traveling waves are absorbed by a clever device that allows no reflected waves to be returned to the motor. The wave speed is observed to be 240 m/s, the maximum transverse displacement of the wire is 1 cm, and the distance between maxima is 3.0 m.

(a) Write a wave function to represent the wave propagating down this wire.

(b) What is the frequency of vibration of the motor?

(c) What is the period of the transverse oscillations of the wire?

(d) What is the maximum transverse velocity of a small insect clinging to the wire?