Skip to main content

Start typing, then use the up and down arrows to select an option from the list.

12. Rotational Kinematics

Equations of Rotational Motion

12. Rotational Kinematics

Equations of Rotational Motion

Guided videos.

Learn with Patrick

Go to the course

Equations of Rotational Motion

Rotational velocity of disc

Additional 1 creators.

Learn with other creators

Anderson Video - Rotational Kinematic Equations

Professor Anderson

Anderson Video - Rotational Motion for Merry Go Round

Professor Anderson

Rotational Motion: Kinematic Equations, Example Problems

Step by Step Science

Angular Motion and Torque

Professor Dave Explains

Constant Angular Acceleration

Showing 5 of 5 videos

Practice this topic

Multiple Choice

A tiny object spins with 5 rad/s around a circular path of radius 10 m. The object then accelerates at 3 rad/s². Calculate its angular speed 8 s after starting to accelerate.

BONUS:Calculate its linear displacement in the 8 s.

Has a video solution.

Multiple Choice

The turntable of a DJ set is spinning at a constant rate just before it is turned off. If the turntable decelerates at 3 rad/s² and goes through an additional 30 rotations before stopping, how fast (in RPM) was the turntable initially spinning?

BONUS:How long (in seconds) does the turntable take to stop?

Has a video solution.

Textbook Question

A high-speed flywheel in a motor is spinning at 500 rpm when a power failure suddenly occurs. The flywheel has mass 40.0 kg and diameter 75.0 cm. The power is off for 30.0 s, and during this time the flywheel slows due to friction in its axle bearings. During the time the power is off, the flywheel makes 200 complete revolutions. (a) At what rate is the flywheel spinning when the power comes back on?

Has a video solution.

Textbook Question

An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s. (b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?

Has a video solution.

Textbook Question

An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s. (a) Find the angular acceleration in rev/s^2 and the number of revolutions made by the motor in the 4.00-s interval. (b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?

Has a video solution.

Textbook Question

A wheel is rotating about an axis that is in the z-direction. The angular velocity ω_z is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (c) What is the angular displacement of the wheel at t = 7.00 s?

Has a video solution.

Textbook Question

A wheel is rotating about an axis that is in the z-direction. The angular velocity ω_z is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (a) Is the angular acceleration during this time interval positive or negative?

Has a video solution.

Textbook Question

An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.250 rev/s and a constant angular acceleration of 0.900 rev/s^2. (a) Compute the angular velocity of the turntable after 0.200 s. (b) Through how many revolutions has the turntable spun in this time interval?

Has a video solution.

Textbook Question

A wheel is rotating about an axis that is in the z-direction. The angular velocity ω_z is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 7.00 s. We have taken counterclockwise rotation to be positive. (b) During what time interval is the speed of the wheel increasing? Decreasing?

Has a video solution.

Textbook Question

A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 rad/s^2. Compute the radial acceleration of a point on the rim for the instant the wheel completes its second revolution from the relationship (a) a_rad = ω^2r and (b) a_rad = v^2/r

Has a video solution.

Textbook Question

An 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 60 rpm to 90 rpm in 10 s. What is the tangential acceleration of a tooth on the sprocket?

Has a video solution.

Textbook Question

A ceiling fan with 80-cm-diameter blades is turning at 60 rpm. Suppose the fan coasts to a stop 25 s after being turned off. (b) Through how many revolutions does the fan turn while stopping?

Has a video solution.

Textbook Question

A ceiling fan with 80-cm-diameter blades is turning at 60 rpm. Suppose the fan coasts to a stop 25 s after being turned off. (a) What is the speed of the tip of a blade 10 s after the fan is turned off?

Has a video solution.

Textbook Question

A high-speed drill reaches 2000 rpm in 0.50 s. (a) What is the magnitude of the drill's angular acceleration?

Has a video solution.

Showing 14 of 14 practice