A cylinder is rotating about an axis that passes through the center of each circ

Question

A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.0700 m, an angular speed of 88.0 rad/s, and a moment of inertia of 0.850 kg·m2. A brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. The frictional force reduces the angular speed of the cylinder by a factor of two during a time of 5.80 s.
(a) Find the magnitude of the angular deceleration of the cylinder.
1 rad/s2

(b) Find the magnitude of the force of friction applied by the brake shoe.
2 N

Explanation / Answer

(a)angular deceleration = change in angular velocity/time
=> 88-44/5.8 = 7.58 rad/s^2

(b) F*r = I*

=> F*0.07 = 0.850*7.58

=>92.04N

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