A uniform steel wire is stretched horizontally between two fixed supports that are 0.65m apart. The wire has a linear mass density of 8.0×10−3kgm−1 and is kept under a tension of 120N.
A mechanical oscillator at one support vibrates the wire.
(1) Calculate the speed at which transverse waves travel along the wire.
(2) Determine the fundamental frequency of standing waves that can form on the wire.
(3) If the oscillator is retuned to drive the wire at its fifth harmonic, determine the frequency at which the oscillator must operate.