# physics

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 รจ = 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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### Answers

(a) The angular separation is 24 radians. (b) The linear position 8 s after the wheel starts rotating is 6 m. The linear velocity vector 8 s after the wheel starts rotating is 12 m/s. The tangential acceleration vector after the wheel starts rotating is 24 radians/s^2. This acceleration is the rate at which the angular velocity of the flywheel is increasing, which can be seen from the graph.