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A flywheel with a diameter of 1 m is initially at rest. Its angular acceleration versus time is graphed in the figure.

(a) What is the angular separation between the initial position of a fixed point on the rim of the flywheel and the point's position 8 s after the wheel starts rotating? (Be sure to give angular separation rather than total angular displacement.)


(b) The point starts its motion at θ = 0. Calculate the linear position 8 s after the wheel starts rotating. (Let the initial position of the point be 0.5 .)
m

Calculate the linear velocity vector 8 s after the wheel starts rotating. (Enter the magnitude.)


Calculate the tangential acceleration vector after the wheel starts rotating. (Enter the magnitude.)

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