A cylinder is rotating about an axis that passes through the centerof each circu

Question

A cylinder is rotating about an axis that passes through the centerof each circular end piece. The cylinder has a radius of 0.0940 m,an angular speed of 85.0 rad/s, and a moment of inertia of 1.39kg·m2. A brake shoe presses against the surfaceof the cylinder and applies a tangential frictional force to it.The frictional force reduces the angular speed of the cylinder by afactor of 7 during a time of 6.00 s. (a) Find themagnitude of the angular deceleration of the cylinder.(b) Find the magnitude of the force of frictionapplied by the brake shoe.

Explanation / Answer

radius r = 0.094 m Initial angular speed w = 85 rad / s moment of inertia I = 1.39 kg m ^ 2 Final angular speed w ' = w - ( w / 7)                                     = 6w / 7 = 72.85 rad / s time t = 6 s (a). the magnitude of the angular deceleration of the cylinder = ( w ' - w ) / t                                                                                              = -2.023 rad / s ^ 2 (b) the magnitude of the force offriction applied by the brake shoe F = I / r                                                                                                         = -29.92 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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