An experimental bicycle wheel is placed on a test stand so that it is free to turn on its axle. If a constant net torque of  5.00 N·m is applied to the tire for 2.00 s, the angular speed of the tire increases from 0 to 100 rev/min. The external  torque is then removed, and the wheel is brought to rest by friction in its bearings in 125 s. Assume the direction the  wheel is rotating is the positive direction. A) Compute the moment of inertia of the wheel about the rotation axis. B) Compute the friction torque. C) Compute the total number of revolutions made by the wheel in the 125-s time  interval.

A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 1.70 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.345 m? rev(b) What is the angular speed of the wheels when the car has traveled half the total distance?

(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 77.0 rev/min in 3.30 s? m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction ° from the radially inward direction

18) Consider an adult and a child riding their bikes. The adult's bicycle has tires with an outer diameter of 700 centimeters. The child's bicycle has tires with an outer diameter of 350 centimeters. The adult bicycle's tires are rotating with an angular velocity of 4.0 radians per second. If the child cyclist is traveling along the road at the same speed as the adult, then what angular velocity must the child's bicycle's tires be rotating at? [Assume the tires are rotating without slipping as the cyclists ride]. A) 1.0 radians second per B) 2.0 radians per second C) 4.0 radians per second D) 8.0 radians per second E) 16.0 radians per second abnoose e G

Suppose that Earth's polar ice caps melted and the water returned to the oceans, so that the oceans were deeper by about 15.1 m. What effect would this have on Earth's rotation? Make an estimate of the resulting change in the length of the day. (Concern has been expressed that warming of the atmosphere resulting from industrial pollution could cause the ice caps to melt.)

A centrifuge rotor rotating at 9000 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 2.41 m⋅N A) If the mass of the rotor is 4.04 kg and it can be approximated as a solid cylinder of radius 0.0310 mm , through how many revolutions will the rotor turn before coming to rest? B) How long will it take?

A flywheel of mass 186 kg has an effective radius of 0.620 m assume that the mass is concentrated along a circumference located at the effective radius of the flywheel What constant torque is required to bring the wheel from rest to an angular speed of 147 rev/min in a time interval of 30.0 s? answer in Nm

5) A torque of 35.3 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.1 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later. (a) What is the wheel's moment of inertia (in kg · m2)?  _kg · m2 (b) What is the magnitude of the torque caused by friction (in N · m)? _ N · m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through?   _  revolutions