A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 280 N applied to its edge causes the wheel to have an angular acceleration of 0.820 rad/s2. (a) What is the moment of inertia of the wheel? ________kg · m2 (b) What is the mass of the wheel? ________kg (c) If the wheel starts from rest, what is its angular velocity after 5.80 s have elapsed, assuming the force is acting during that time? ________rad/s

In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.356 m? The wheel's radius is r = 0.662 m and its mass is m = 1.71 kg. F

Which of the following statements are true? Select all correct.   Question 9 options:   The angular velocity omega has units of rad/s   Rotational kinetic energy has different units than translational kinetic energy.   Moment of Inertia has units of kg m2   If the center of mass of an object does not move, its kinetic energy must be zero.   Kinetic energy of rotation depends on the direction of rotation.   If they have the same mass and radius, a ring would have a larger moment of inertia about its center than a disc.

The drive chain in a bicycle is applying a torque of 1.550 N- m to the wheel of the bicycle. The wheel has a moment of inertia of 0.150 kg • m?. What is the angular acceleration of the wheel?my answer was 10.33 rad/s^2? Can we also write the answer as 10 rad/s^2?

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 metal disc with 0.18 kg of mass and 0.070 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The disc rolled up the incline without slipping to a vertical height of 0.43 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the disc before it reached the ramp. Hint: the disc has rotational kinetic energy. The rotational inertia of a disc is (1/2)mr^2.

Jet turbines accelerate from rest to a velocity of 155 rad/s in just 25 seconds. What is their angular acceleration? α = ______ If each turbine has a moment of inertia of 35 kg*m^2, what is net torque required for this acceleration? τ = ______

A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg·m2 when her arms are extended. What is her angular velocity after she pulls her arms in and reduces her rotational inertia to 1.60 kg·m2?  ____rad/s

A 320-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 25° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? ____rad/s

What is the rotational inertia of a solid iron disk of mass 32.0 kg, with a thickness of 5.00 cm and radius of 11.0 cm, about an axis through its center and perpendicular to it?  ____kg⋅m2