A flywheel (I = 50 kg-m²) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s. (a) What is the angular acceleration of the flywheel? (b) What is the magnitude of the torque?

You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm, and you press a steel axe against it with a radial force of 20.0 N. (a) Assuming the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone. (b) How many turns will the stone make before coming to rest?

A flywheel slows from 600 to 400 rev/min while rotating through 40 revolutions. (a) What is the angular acceleration of the flywheel? (b) How much time elapses during the 40 revolutions?

During a 6.0-s time interval, a flywheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the flywheel?

One pendulum consists of a solid rod of mass $m$ and length L, and another consists of a compact ball of the same mass m on the end of a massless string of the same length $L$. Which has the greater period? Why?

Which of the following is a vector quantity? (A) angular position (B) angular speed (C) torque (D) moment of inertia

A rifle with a weight of 30 N fires a 5.0-g bullet with a speed of 300 m/s. If a 700-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle.

What is the voltage drop across a $5.0\mathrm{~ω}$ resistor if the current running through it has a value of $5.0 \mathrm{~A}$?

A block with mass m = 5.00 kg slides down a surface inclined $36.9 ^ { \circ }$ to the horizontal. The coefficient of kinetic friction is 0.25. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 25.0 kg and moment of inertia $0.500 \mathrm { kg } \cdot \mathrm { m } ^ { 2 }$ with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.200 m from that axis. What is the acceleration of the block down the plane?

How do we get most of our petroleum?

The balance of power between Congress and the president has been shifted by what events and legislation?

A neutron star of mass

$$2 × 10^{30} kg$$

and radius 10 km rotates with a period of 0.02 seconds. What is its rotational kinetic energy?

A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is

$$μ_S = 0.5,$$

how far from the axis of rotation can he stand without sliding?

When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newton x meters (relative to the center of the bolt)? (b) Convert this torque to footpounds.