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 0.0650 m, an angular speed of 76.0 rad/s, and a moment of inertia of 1.41 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 5 during a time of 1.00 s. (a) Find the magnitude of the angular deceleration of the cylinder. (b) Find the magnitude of the force of friction applied by the brake shoe.

Explanation / Answer

a) w = wo + at

wo/5 = wo + at =====> a = -0.8*wo/t = -0.8*76/1 = -60.8 rad/s^2

b) As fR = Ia ======> f = Ia/R = 1.41*60.8/0.065 = 1318.9 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.