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In this lesson, we will learn how to apply the work–energy theorem and principle of energy conservation using the quantities associated with rotational motion.
A wind turbine rotates at 20 rpm. If its power
output is 2.0 MW, what is the torque produced on the
turbine from the wind?
A uniform cylindrical grindstone has a mass of 10 kg and a radius of 12 cm.
What is the rotational kinetic energy of the grindstone when it is rotating at
After the grindstone’s motor is turned off, a knife blade is pressed against the outer edge of the grindstone with a perpendicular force of 5.0 N. The coefficient of kinetic friction between the grindstone and the blade is 0.80. Use the work energy theorem to determine how many turns the grindstone makes before it stops.
On a frictionless inclined plane, a block of
mass 2.0 kg is attached by a cord to a pulley of mass
1.0 kg and radius
20 cm, as shown.
What is the acceleration of the block down the plane?
What is the work done by the gravitational force to move the block 50 cm?
A solid sphere of mass 48 kg
is rolling in a straight line at a speed of
6.0 m/s across a horizontal surface.
What is the magnitude of the work required to bring the sphere to rest?
A propeller is accelerated from rest to an angular velocity of
a period of 6.00 seconds
by a constant torque of
What is the moment of inertia of the propeller?
What power is being provided to the propeller
3.00 s after it starts
A clay cylinder of radius 10.0 cm on a potter’s wheel
spins at a constant rate of 30.0 rev/s. The potter applies
a force of 12 N to the clay with his hands and the
coefficient of friction is 0.15 between his hands and the clay.
What is the power that the potter has to deliver to the wheel
to keep it rotating at this constant rate?
An athlete in a gym applies a constant force of 45.0 N to
the pedals of a bicycle to keep the rotation rate of the wheel at
The length of the pedal arms is 20.0 cm.
What is the power delivered to the bicycle by the athlete?
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