If a constant net torque is applied to an object, that object will A) rotate with constant angular velocity, ω. B) rotate with constant angular acceleration α. C) having an increasing moment of inertia, I. D) having a decreasing moment of inertia, I.

A figure skater is spinning with an angular velocity of 16 rad/s. She thencomes to a stop over a brief period of time. During this time, her angular displacement is 5 rev. Determine(a) her average angular acceleration and(b) the time during which she comes to rest.

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A wheel with a radius of 12 cm rotates through 2.5 radians whileaccelerating from 1.2 rad/s to 6.2 rad/s.a) Calculate the angular acceleration.b) Determine the tangential acceleration.c) How long was the wheel accelerating?

A merry-go-round starts from rest and accelerates uniformly over 19.5 s to a final angular velocity of 5.00 rev/min. (a) Find the maximum linear speed of a person sitting on the inferry-go-round 3.00 m from the center. (b) Find the person's maximum radial acceleration. (c) Find the angular acceleration of the merry-go-round. (d) Find the person's tangential acceleration.

1) The lower portion of a fire ladder (OA) rotates about the hinge at O at a rate of 0.05 rad/s. The angular acceleration of OA is 0.04 rad/s?. At the same time, the upper portion (AB) extends out from the lower portion at a velocity of 0.4 m/s and an acceleration of 0.1 m/s?. The length of OA is 6 m and the length of AB is 2m. a) Calculate the velocity and acceleration of point B with respect to O. Keep your work in polar coordinates. b) Transform your solutions from Part (a) to Cartesian coordinates if 0 = /6. А

A bicyclist starting at rest produces a constant angular acceleration of 1.50 rad/s2 for wheels that are 33.0 cm in radius. HINT (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) m/s? (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.4 m/s? rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled? Need Help? Watch It Read It

If a flywheel is initially moving at an angular velocity Wi = 10 rad/s and accelerates to a final angular velocity Wf = 400 rad/s in a time of 3 seconds, calculate: a.) the angular acceleration (alpha = a) b.) the angular displacement (theta)

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 9.00 s, it rotates 21.0 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 9.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 9.00 s? (a) Number i (b) Number i (c) Number (d) Number i Units Units Units Units <

A bicycle tire is spinning clockwise at 3.10 rad/s. During a time period At = 1.70 s, the tire is stopped and spun in the opposite (counterclockwise) direction, also at 3.10 rad/s. Calculate the change in the tire's angular velocity Aw and the tire's average angular acceleration av: (Indicate the direction with the signs of your answers.) HINT (a) the change in the tire's angular velocity Aw (in rad/s) rad/s (b) the tire's average angular acceleration a. (in rad/s2) 'av rad/s? Need Help? Read It Watch It