What is the angular momentum of a 3.0-kg uniform cylindrical grinding wheel of radius 26 cm when rotating at 1400 rpm ? b) How much torque is required to stop it in 6.0 s ?

A playground merry–go–round has a mass of 132 kg and a radius of 1.60 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 19.0–kg child gets onto it by grabbing its outer edge? The child is initially at rest.

Hi please help: A 20-kg sphere 0.05 m in radius starts from rest and rolls (without slipping) 8.0 m down a ramp that is inclined at 30 degrees with the horizontal. (a) What is the angular speed of the sphere at the bottom of the slope if it starts from rest? (b)How much rotational kinetic energy does the sphere have at the bottom of the slope?

A flywheel in the form of a uniformly thick disk of radius 1.53 m has a mass of 58.6 kg and spins counterclockwise at 141 rpm. Calculate the constant torque required to stop it in 3.25 min. N.m constant torque:

The platform shown in the figure below (The Merry-Go-Round) has a mass of M- 100 kg and radius R 2.0 m. Lia (m 30 kg) walks slowly from the rim of the disk toward its center. If the angular speed of the system is 2.0 rad/s when Lia is at the rim, what is the angular speed when she reaches a pointr 3- 0.5 m from the center? M

A robot wheel rotates with a constant angular speed of 3.8 rad/s. The radius of the robot wheel is radius = 0.4 meters. Find the following: a) angular displacement of the robot wheel at a time of 7 seconds. b) linear (tangential) speed of a point on the rim.

An automobile engine can produce 200 N · m of torque. Calculate the angular acceleration produced if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

a) A diver leaps from a platform and immediately goes into a tuck position. If we assume that the diver has an initial angular velocity of 7.5 rad/sec, and has an angular acceleration of -0.22rad/sec2,how long will it take for the diver to complete 2 full revolutions?b) Assume that the diver is 6 m above the water with an initial vertical velocity of 1.74 m/s when she begins to rotate. Will she be able to complete 2 full revolutions before hitting the water? Why or why not?

a) What constant torque needs to be applied to a wheel with rotational inertia I=0.1kg-m² about its central axis to decrease crease its angular velocity from 26 to 16 rad/s in 5s? Assume constant angular acceleration. Calculate b) initial and c) final angular momentum of the flywheel, d) angular acceleration of the flywheel. Hint: angular momentum of a rigid body is L= Io, solve part d) first.

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