Calculating Power for a Vibrating String

[Macvan]

Homework Statement

A string with linear mass density of 0.143 kg/m is under a tension of 107 N. How much power must be supplied to the string to generate a sinusoidal wave of amplitude 1.97 cm and frequency 107 Hz?

Homework Equations

V=√F/μ
V=ω.A


3. The Attempt at a Solution

I found V and ω by using equations above but don't know how to calculate power.

 

[obafgkmrns]

The question should probably be rephrased "How much energy..." rather than "How much power..." With nothing in the problem's statement describing how the string might dissipate energy, I'd assume there's no energy loss at all -- the string vibrates forever. Try calculating the string's kinetic energy as it passes through minimum amplitude.