After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.40 rad/srad/s and it rotated 15.9 revolutions before coming to rest. You may want to review (Pages 305 - 307) . Part A What was its average angular acceleration?         Express your answer using three significant figures.   Part B For what length of time did the wheel rotate?         Express your answer using three significant figures.

A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 12.8 m * N which accelerates it uniformly from rest through a total of 160 revolutions in 16.0 s. Part A What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units. M = O μA Submit Value Units Request Answer ?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 12.5 s to uniformly accelerate to its final angular speed ω2 = 750 rad/s.  a. Calculate the angular acceleration of the centrifuge a1 in rad/s2 over the time interval t b. Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the intial to the final speed.

The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/srad/s to 35 rad/srad/s in 2.6 revolutions. Part A What is the angular acceleration of the propeller?         Express your answer in radians per second squared.

Suppose that you are holding a pencil balanced on its point. If you release the pencil and it begins to fall, what will be the angular acceleration when it has an angle of 10.0 degrees from the vertical?   Calculate the time t for the pencil to hit the ground, assuming that it falls from standing perfectly vertical and maintains this angular acceleration. Express your answer in seconds.   a=-17.0 rad/s2

please answer this question all parts.

Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly.  a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2).  b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?

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A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units rad

A flywheel slows from 662 to 400 rev/min while rotating through 38 revolutions. a. What is the (constant) angular acceleration of the flywheel? rad/s2 b. How much time elapses during the 38 revolutions? t S a