A wheel rotates without friction about a stationary horizontal axis at the center of the wheel. A constant tangential force equal to 88.0 N is applied to the rim of the wheel. The wheel has radius 0.150 m. Starting from rest, the wheel has an angular speed of 12.5 rev/s after 2.28 s.

A gyroscope slows from an initial rate of 43.8 rad/s at a rate of 0.756 rad/s2. (a) How long does it take (in s) to come to rest? (b) How many revolutions does it make before stopping? rev

A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second

What is the moment of inertia ? of an object that rotates at 14.0 rev/min about an axis and has a rotational kinetic energy of 24.0 J?

A softball player swings a bat, accelerating it from rest to 6 rev/s in a time of 0.2 s.  Find the torque the player applies to one end of the bat.  Approximate the bat as a 2.2 kg uniform rod of length 0.95 m.

An Atwood's machine consists of blocks of masses m,- 13.0 kg and m₂ - 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M-7.80 kg and radius r=0.200 m. The block of mass m₂ is allowed to drop, and the cord turns the pulley without slipping. 7₁ (a) Why must the tension T₂ be greater than the tension T₂? This answer has not been graded yet (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s (c) Find the tensions T₁ and T2 T₂-

A wheel’s angular acceleration is constant. Initially its angular velocity is zero. During the first 1.0-s time interval, it rotates through an angle of 90.0°. (a) Through what angle does it rotate during the next 1.0-s time interval? (b) Through what angle during the third 1.0-s time interval?

A bicycle tire turning at 0.21 rad/s is brought to rest by the brakes in exactly two revolutions. What is the angular acceleration of the wheel?

What is the value of the angular acceleration of the second hand of the clock on the wall?