How do I find angular acceleration without time or distance traveled given?

Please help!

1 & 2) The beetle and the turntable are one entity masswise. The beetle has a velocity of .08 rad/s in relation to the turntable, which is their total angular velocity.

The beetle has a mass of 30g, and the turntable has a mass of 90g. You can find their individual angular velocities based on their ratio of the total mass (120g).

Beetle = 0.06 rad/s clockwise.
Turntable = 0.02 rad/s (counter-clockwise), or -0.02 rad/s clockwise.

For 3, you use the 0.08 rad/s because it is the relative velocity.
There are 2pi radians in a circle, so divide 2pi by 0.08 rad/s, and you end up with 78.54 seconds.

Let me know if you have any questions via pm.

This post was edited by Dontrunaway on Oct 29 2014 11:44pm

I tried your method on the practice version. Didn't work.

Mass of beetle is 15g and turntable is 95, totaling 110. If we considered the total angular velocity of the system to be 0.04 rad/s and used the mass ratios to distinguish each individual angular velocities:
Beetle = 0.0545454 rad/s clockwise
Turntable = 0.0345454 rad/s counter-clockwise

apply angular momentum, not linear momentum

If it didn't work in the practice version, why did you take it to the real version?

That work is wrong, either way. My method would produce: Beetle = .0345 clockwise, Turntable = .00545 counter-clockwise.

There is no reason you should have missed the last one, that one is just 2pi / 0.04 = 157.08s.

Either way, without the radius I am at a loss.

I didn't submit anything on the real one.

Was bothering me that I was incorrect so I figured it out.

Similar problem on youtube for example: https://www.youtube.com/watch?v=YdjnZzP6pC4

The third part of the problem was explained above and is still correct. 2pi/0.08 = 78.5398s for the beetle to do a full revolution.