A flywheel in the form of a uniformly thick disk of radius 1.78 m has a mass of 35.6 kg and spins counterclockwise at 357 rpm. If the positive direction of rotation is counterclockwise, calculate the constant torque z required to stop it in 1.50 min. T = N-m

A bicycle wheel, of radius 0.300 m and mass 1.16 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 54.2 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces? ____ N⋅m

A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much torque must the motor deliver if the turntable is to reach its final angular speed in 2.30 revolutions, starting from rest? The turntable is a uniform disk of diameter 30.5 cm and mass 0.210 kg. _____N·m

Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

Bob rolls a hollow sphere with a mass M = 6.82 kg and radius R = 10.9 cm up a hillside, giving it an initial kinetic energy of Ki.  It rolls over the top of the hill of height h and keeps going.  The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a.  Find its rotational inertia. b.  Given the height of the hill is h = 1.6 m, and Ki = 135 J, find the total kinetic energy Ktot at the top of the hill. c.  Find the translational velocity at  the top of the hill.

A professor sits on a rotating stool that is spinning at 10.0 while she holds a heavy weight in each of her hands. Her outstretched hands are 0.765 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?