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Example 9-1 - c unlike Parts a and b involves both a linear...

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A CD Player A compact disk rotates from rest to 500 rev/min in 5.5 s. ( a ) What is its angular acceleration,  assuming that it is constant? ( b ) How many revolutions does the disk make in 5.5 s? ( c ) How far  does a point on the rim 6.0 cm from the center of the disk travel during the 5.5 s it takes to get to  500 rev/min? PICTURE  Part ( a ) is analogous to the one-dimensional linear problem of finding the acceleration,  given the time and the final velocity. Part ( b ) is analogous to the one-dimensional linear problem  of finding the displacement, given the time and the final velocity. Part (
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Unformatted text preview: c ), unlike Parts ( a ) and ( b ), involves both a linear quantity (distance traveled) and an angular quantity (angular displacement). Thus, Part ( c ) is not analogous to a one-dimensional angular problem. SOLVE ( a ) 1. The angular acceleration is related to the initial and final angular velocities: Answer: 2. Solve for : Answer: ( b ) 1. The angular displacement is related to the time by Equation 9-6 : Answer: 2. Convert radians to revolutions: Answer: ( c ) The distance traveled is r times the angular displacement in radians: Answer:...
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