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1.A bicycle tire is spinning counterclockwise at 3.60 rad/s. During a time period ? t = 1.45 s, the tire is stopped and spun in

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1.A bicycle tire is spinning counterclockwise at 3.60 rad/s. During a time period ?t = 1.45 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.60 rad/s. Calculate the change in the tire's angular velocity ?? and the tire's average angular acceleration ?av. (Indicate the direction with the signs of your answers.)

(a)the change in the tire's angular velocity ?? (in rad/s) rad/s

(b)the tire's average angular acceleration ?av (in rad/s2) rad/s2

2.A potter's wheel moves uniformly from rest to an angular speed of 0.25 rev/s in 28.0 s.

(a)Find its angular acceleration in radians per second per second. rad/s2

(b)Would doubling the angular acceleration during the given period have doubled final angular speed? Yes or No

3.A centrifuge in a medical laboratory rotates at an angular speed of 3,550 rev/min. When switched off, it rotates through 48.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.

rad/s2

4.The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 7.0 rev/s in 13.0 s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub slows to rest in 11.0 s. Through how many revolutions does the tub turn during this 24 s interval? Assume constant angular acceleration while it is starting and stopping.

rev

5.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 4.68 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

6.A 38.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each chain at the lowest point is 428 N.

(a) Find the child's speed at the lowest point. m/s (b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.) N (upward)

7.A roller-coaster vehicle has a mass of 560 kg when fully loaded with passengers (see figure).

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