You are told that a basketball player spins the ball with an angular acceleration of 100 rad/s2 . (a) What is the ball’s final angular velocity if the ball starts from rest and the acceleration lasts 2.00 s? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?

A disk, initially rotating at 106 rad/s, is slowed down with a constant angular acceleration of magnitude 2.35 rad/s2. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time?

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

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?

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?

A carnival ride starts at rest and is accelerated from an initial angle of zero to a final angle of 6.3 rad by a counterclockwise angular acceleration of 2.0 rad/s?. What is the angular velocity at 6.3 rad?

An electric circular saw is designed to reach its final angular speed, starting from rest, in4.73 s.  Its average angular acceleration is 341.4 rad/s2.  Obtain its final angular speed.

A person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min. (a) What is its angular acceleration in rad/s2?      _________rad/s2 (b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?_________m/s2   (d) Express this radial acceleration as a multiple of g._________g

A bicycle tire is spinning clockwise at 2.20 rad/s. During a time period At = 2.50 s, the tire is stopped and spun in the opposite (counterclockwise) direction, also at 2.20 rad/s. Calculate the change in the tire's angular velocity Aw and the tire's average angular acceleration aay. (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) rad/s2