A disk with a radial line painted on it is mounted on an axle perpendicular to i

Question

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 ?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 ?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°)?
|?| =

Explanation / Answer

degrees it has rotated = 90+130 =220 degrees = 220*2pi/360 = 3.84 radians
3.84 = .5**3.1^2

= .8 rad/s^2

when it returns to its original position

angle rotated = 2pi radians

(wf)^2 - 0^2 = 2(2)

angular speed of the disk after it has traveled one complete revolution wf = 3.17 rad/s

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