Serway6eProblems10 - Chapter10Problems...

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Chapter 10 Problems 1,  2 3   = straightforward, intermediate,  challenging Section 10.1  Angular Position, Velocity, and  Acceleration 1. During a certain period of time, the  angular position of a swinging door is described  by  θ = 5.00 + 10.0 t  + 2.00 t 2 , where  θ  is in  radians and  t  is in seconds. Determine the  angular position, angular speed, and angular  acceleration of the door (a) at  t  = 0 and (b) at  t  =  3.00 s. Section 10.2  Rotational Kinematics:  Rotational Motion with Constant Angular  Acceleration 2. A dentist's drill starts from rest. After  3.20 s of constant angular acceleration, it turns  at a rate of 2.51  ×  10 4  rev/min. (a) Find the  drill's angular acceleration. (b) Determine the  angle (in radians) through which the drill rotates  during this period. 3. A wheel starts from rest and rotates with  constant angular acceleration to reach an  angular speed of 12.0 rad/s in 3.00 s. Find (a)  the magnitude of the angular acceleration of the  wheel and (b) the angle in radians through  which it rotates in this time.  4. An airliner arrives at the terminal, and  the engines are shut off. The rotor of one of the  engines has an initial clockwise angular speed  of 2 000 rad/s. The engine's rotation slows with  an angular acceleration of magnitude 80.0 rad/ s 2 . (a) Determine the angular speed after 10.0 s.  (b) How long does it take the rotor to come to  rest? 5. An electric motor rotating a grinding  wheel at 100 rev/min is switched off. With  constant negative angular acceleration of  magnitude 2.00 rad/s 2 , (a) how long does it take  the wheel to stop? (b) Through how many  radians does it turn while it is slowing down? 6. A centrifuge in a medical laboratory  rotates at an angular speed of 3 600 rev/min.  When switched off, it rotates 50.0 times before  coming to rest. Find the constant angular  acceleration of the centrifuge. 7. The tub of a washer goes into its spin  cycle, starting from rest and gaining angular  speed steadily for 8.00 s, at which time it is  turning at 5.00 rev/s. At this point the person  doing the laundry opens the lid, and a safety  switch turns off the washer. The tub smoothly  slows to rest in 12.0 s.  Through how many  revolutions does the tub turn while it is in  motion? 8. A rotating wheel requires 3.00 s to rotate  through 37.0 revolutions. Its angular speed at  the end of the 3.00-s interval is  98.0 rad/s.  What is the constant angular  acceleration of the wheel?
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