Finding Amplitude

weathercheck

1. The problem statement, all variables and given/known data
A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.381 m. The maximum transverse acceleration of a point at the middle of the segment is 8600 m/s^2 and the maximum transverse velocity is 3.50 m/s.


3. The attempt at a solution

Now i thought i has calculated it correctly i got A= 10.35m

I used the fundamental F = v/2l threw that into a= Aw^2

This question is making me angry! can anyone help me out!! ? cheers! ;)

kbaumen

What is the question?

weathercheck

What is the amplitude of the standing wave?

Ginerva123

Are you familiar with the equation of a standing wave? If you are, then you can differentiate it once and equate it to your maximum velocity, and then equate your maximum acceleration to the second derivative of the standing wave equation. You can then find A and w.

weathercheck

how do i go about differentiating the wave equation?

thanks

Ginerva123

Differentiate with respect to t, using the chain rule.

weathercheck

can somebody please please, differentiate this for me as an example

(A.Sin(kx)).(sin(wt))

with respect to t, i'm losing my nut here! Feel so dumb

thanks a bunch

Vidatu

You can't find derivatives on your own?