Multiple-Concept Example 7 explores the approach taken in problems such as this one. The blades of a ceiling fan have a radius of 0.369 m and are rotating about a fixed axis with an angular velocity of +1.06 rad/s. When the switch on the fan is turned to a higher speed, the blades acquire an angular acceleration of +2.88 rad/s2. After 0.555 s have elapsed since the switch was reset, what is (a) the total acceleration (in m/s²) of a point on the tip of a blade and (b) the angle between the total acceleration and the centripetal acceleration (See Figure b)?

At t= 0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 35.0 rad/s² until a circuit breaker trips at time t = 1.70 s. From then on, it turns through an angle 438 rad as it coasts to a stop at constant angular acceleration. Through what total angle did the wheel turn between t= 0 and the time it stopped? Express your answer in radians. 8= Submit Part B - ΑΣΦΑ 1 V Part C Request Answer At what time did it stop? Express your answer in seconds. Submit ΓΨΓ ΑΣΦ 3 Request Answer 2 @ 3 C www. 7 ΑΣΦ) → O ? What was its acceleration as it slowed down? Express your answer in radians per second squared. ? ? rad S Review Const

A 3.45-kg centrifuge takes 99 s to spin up from rest to its final angular speed with constant angular acceleration. A point located 6.9 cm from the axis of rotation of the centrifuge moves with a speed of 178.2 m/s when the centrifuge is at full speed. What is the angular acceleration (in rad/s2) of the centrifuge as it spins up?

An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045 rad/s). If a particular disk is spun at 734.1 rad/s734.1 rad/s while it is being read, and then is allowed to come to rest over 0.368 seconds0.368 seconds, what is the magnitude of the average angular acceleration of the disk?   If the disk is 0.12 m0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/71/7 of the way out from the center of the disk?