Make a rough estimate of the moment of inertia I of a new pencil that is spun about its center by a nervous student during an exam. I=   g⋅cm2

An object's moment of inertia is 2.50 kgxm^2 . Its angular velocity is increasing at the rate of 3.30 rad/s^2 . What is the net torque on the object?

When a ceiling fan rotating with an angular velocity of 3.60 rad/s is turned off, a frictional torque of 0.360 Nm slows it to a stop in 30 s. What is the moment of inertia of the fan?

A volley ball players 4.4 kg arm moves at an average angular velocity of 16 rad/s during the execution of a spike. if the average moment of inertia of the extending arm is 0.39 kg*m^2. what is the average radius of rotation for the arm during the spike?

A net torque with a magnitude of 10.0 N.m acts on an object that starts at rest. Find the magnitude of the final angular speed after 7.0 seconds if the object is a thin spherical shell of 2.5 kg and radius 330 cm.

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Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R = 2.58 m. Disk 1 has a moment of inertia I1 = 9.8 kg⋅m2. Disk 2 has a moment of inertia I2 = 5 kg⋅ m2. Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ω1,z = 21 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω2,z = -15 rad/s. The z component of their common angular velcoity is 8.837 rad/s How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small. I get I need to use kinetic energy equations of 1/2*I*w2 but…

A merry-go-round has a radius of 16.5 m and a moment of inertia of 310 kg-m². A boy of mass 44.9 kg runs tangent to the rim at a speed of 4 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on? Help on how to format answers: units w/

a 20 Nm torque acts on a wheel that has 150kgm^2 moment of inertia  1.calculate the angular acceleration of the wheel.

The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 x 103 N with an effective perpendicular lever arm of 3.50 cm, producing an angular acceleration of the forearm of 165 rad/s2. What is the moment of inertia, in kg · m2, of the boxer's forearm? kg · m2