A safety device brings the blade of a power mower from an initial angular speed of ω1 to rest in 1 revolution. At the same constant acceleration, how many revolutions would it take the blade to come to rest from an initial angular speed ω that was three times as great, ω = 3ω1

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 centrifuge in a medical laboratory rotates at an angular speed of 3,700 rev/min. When switched off, it rotates through 52.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

The angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 4.5 radians. The platform has a radius of R = 44 cm. Calculate the angular acceleration of the platform α in rad/s2.

A centrifuge in a medical laboratory rotates at an angular speed of 3,650 rev/min. When switched off, it rotates through 52.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a centripetal acceleration of 4.00 m/s2, what is the point’s tangential speed?

When you start your record player, a ladybug is sitting on the edge of the record, 15 cm from the center. The record, initially at rest at t=0, experiences a constant angular acceleration of 0.698 rad/s for 5 seconds.  What is the magnitude of the centripetal acceleration of the ladybug at the moment t = 5 s?

A car on a circular track accelerates from rest. (a) The car experiences (1) only angular acceleration, (2) only centripetal acceleration, (3) both angular and centripetal accelerations. Why? (b) If the radius of the track is 0.30 km and the magnitude of the constant angular acceleration is 4.5 × 10−3 rad/s2, how long does the car take to make one lap around the track?

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.)

A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 25.0 rad/s2. Find the speed of a point on the blade 2.70 m from the axis of rotation when the blade has completed 20 revolutions