How Fast Does a Spinning Disk Rotate After One Full Revolution?

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cstout
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Homework Statement




A disk with a radial line painted on it is mounted on an axle perpendicular to it and running through its center. It is initially at rest, with the line at theta 0 = -90°. The disk then undergoes constant angular acceleration. After accelerating for 3.1 s, the reference line has been moved part way around the circle (in a counterclockwise direction) to theta f = 130°.

Given this information, what is the angular speed of the disk after it has traveled one complete revolution (when it returns to its original position at -90°)?


Homework Equations



w = lim(change in theda)/(change in time)



The Attempt at a Solution



change in theda is 140 degrees

change in time is 3.1 seconds
 

Discussion

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This is a problem involving a constant angular acceleration and you need to use that information to solve this problem.

HINT:

Can you state the kinematic equations for rotational motion?
 
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