Oscillator Max Speed - Calculate Vmax

[sktgurl930]

Homework Statement

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?

Homework Equations

Vmax=2pi*f*A

The Attempt at a Solution

confused as to wat the AMP would be

 

[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.

 

[Bubofthedead]

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

 

[sktgurl930]

ok i solved for w
and i was going to put it into the other equation u gave me for A but i don't kno which V or X to put in for it

 

[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