A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.110 m, an angular speed of 50.0 rad/s, and a moment of inertia of 1.26 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 3 during a time of 8.00 s.  Find the magnitude of the force of friction applied by the brake shoe.

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A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.110 m, an angular speed of 50.0 rad/s, and a moment of inertia of 1.26 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 3 during a time of 8.00 s.  Find the magnitude of the force of friction applied by the brake shoe.

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Step 1

Let ω0 denotes the initial angular speed, ω denotes the final angular speed, t denotes the time, and α denotes the angular acceleration. Therefore, the angular acceleration can be determined as,

 

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