# Oscillator max speed

1. Nov 25, 2008

### sktgurl930

1. The problem statement, all variables and given/known data

A 284 g oscillator has a speed of 94.86 cm/s when its displacement is 2.98 cm and 74.06 cm/s when its displacement is 5.92 cm. What is the oscillator's maximum speed?

2. Relevant equations
Vmax=2pi*f*A

3. The attempt at a solution
confused as to wat the AMP would be

2. Nov 25, 2008

### ak1948

If you let x = A*sin(w*t) then v = A*w*cos(w*t).

Then you can see that (v/w)^2 + x^2 = A^2.

Thats enough information to solve for w because you have 2 points given:

(v1/w)^2 + x1^2 = (v2/w)^2 + x2^2.

In turn you can solve for A and finally vmax.

I don't see any use for the mass unless there is another part to the problem to find the spring constant or something like that.

3. Nov 25, 2008

When you wrote w, did you mean omega or weight?

4. Nov 25, 2008

### sktgurl930

ok i solved for w
and i was going to put it into the other equation u gave me for A but i dont kno which V or X to put in for it

5. Nov 26, 2008

### ak1948

v1, x1 : a speed of 94.86 cm/s when its displacement is 2.98 cm
v2, x2 : 74.06 cm/s when its displacement is 5.92 cm