The rotor of a jet engine is rotating at 9,500 revolutions per minute (rpm) when the fuel is shut off. The ensuing angular acceleration is a = -0.02w, where w is the angular velocity in radians per second (rad/s). (a) How long does it take the rotor to slow to 900 rpm? (b) How many revolutions does the rotor turn while decelerating to 900 rpm?

A centrifuge in a forensics laboratory rotates at an angular speed of 3,450 rev/min. When switched off, it rotates 54.0 times before coming to rest. Find the constant angular acceleration of the centrifuge (in rad/s2). Consider the direction of the initial angular velocity to be the positive direction, and include the appropriate sign in your result.

An engine flywheel initially rotates counterclockwise at 6.83 rotations/s. Then, during 25.1 s, its rotation rate changes to 2.19 rotations/s clockwise. Find the flywheel's average angular acceleration (including its sign) in radians per second squared. Define counterclockwise rotation as positive.   what is the average angular acceleration?

A ceiling fan is turned on and reaches an angular speed of 111 rev/min in 23 s. It is then turned off and coasts to a stop in 47 s. In the [t1+t2] s of rotation, through how many revolutions did the fan turn?

An automobile with 0.320 m radius tires travels 60,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

A flywheel is rotating at 36.5 rev/s.What is the total angle, in radians, through which a point on the flywheel rotates in 29.7 s?

The crankshaft in a race car goes from rest to 3000 rpm in 2.0 seconds. How many revolutions does it make while reaching 3000 rpm?

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness. (A) If a human centrifuge has a radius of 4.29 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s ?   (B) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s

A Google search revealed that the disc in a CD player spins at between 200 and 500 revolutions per minute (RPM) depending upon which area of the disc is being read or played. (a) How many radians per second are equivalent to 200 RPM? (b) By pressing and holding the fast-forward button, the CD player could quickly increase its speed from 200 RPM to 448 RPM in just 0.75 seconds. What was the angular acceleration (α) of the CD in units of radians per secondsquared as it sped up from 200 to 448 RPM?

At t = 0s a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 30.0 rad/s2 until a circuit breaker trips at t = 2.3 s. From then on it coasts to a stop over the next 10.0 seconds at constant angular acceleration. Through what total angle did the grinding wheel rotate? (Give your answer in radians.)