12. Rotational Kinematics

Equations of Rotational Motion

12. Rotational Kinematics

Equations of Rotational Motion

Guided videos.

Learn with Patrick

Go to the course

Guided course

07:18

Equations of Rotational Motion

Rotational velocity of disc

Additional 1 creators.

Learn with other creators

Anderson Video - Rotational Kinematic Equations

08:24

Anderson Video - Rotational Kinematic Equations

Anderson Video - Rotational Motion for Merry Go Round

Rotational Motion: Kinematic Equations, Example Problems

Angular Motion and Torque

Professor Dave Explains

288

views

02:56

Constant Angular Acceleration

Jennifer Cash

184

views

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?

843

views

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)?

1502

views

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)?

677

views

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?

464

views

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?

848

views

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?

515

views

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?

151

views

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

258

views

Has a video solution.

Textbook Question

(I) Pilots can be tested for the stresses of flying high-speed jets in a whirling “human centrifuge,” which takes 1.0 min to turn through 26 complete revolutions before reaching its final speed.

(a) What was its angular acceleration (assumed constant)?

views

Has a video solution.

Textbook Question

(II) Assume that a 1.00-kg ball is thrown solely by the action of the forearm, which rotates about the elbow joint under the action of the triceps muscle, Fig. 10–57. The ball is accelerated uniformly from rest to 8.5 m/s in 0.38 s, at which point it is released. Calculate

(a) the angular acceleration of the arm, and

<IMAGE>

views

Has a video solution.

Textbook Question

(I) The blades in a blender rotate at a rate of 8500 rpm (rpm = revolutions per minute = rev/min) . When the motor is turned off during operation, the blades slow to rest in 4.0 s. What is the angular acceleration as the blades slow down?

views

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?

214

views

rank

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?

667

views

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?

182

views

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?

157

views

Has a video solution.

Textbook Question

The 2.0 kg, 30-cm-diameter disk in FIGURE P12.65 is spinning at 300 rpm. How much friction force must the brake apply to the rim to bring the disk to a halt in 3.0 s?

102

views

Has a video solution.

Textbook Question

(I) Pilots can be tested for the stresses of flying high-speed jets in a whirling “human centrifuge,” which takes 1.0 min to turn through 26 complete revolutions before reaching its final speed.

(b) what was its final angular speed in rpm?

views

Has a video solution.

Textbook Question

(II) A cooling fan is turned off when it is running at 780 rev/min . It turns 1250 revolutions before it comes to a stop.

(b) How long did it take the fan to come to a complete stop?

views

Has a video solution.

Textbook Question

(II) Calculate the average angular velocity of a clock’s second hand, its minute hand, and its hour hand. State in rad/s .

(d) What is the average angular acceleration in each case?

views