week7-1 - Linear Motion vs. Rotational Motion Linear motion...

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Linear Motion vs. Rotational Motion Linear motion involves an object moving from one point to another in a straight line. Rotational motion involves an object rotating about an axis. Examples include a merry-go-round , the rotating earth , a spinning skater , a top , and a turning wheel . What causes rotational motion? Does Newton’s second law apply?
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There is a useful analogy between linear motion and rotational motion. Rotational velocity is how fast the object is turning. Units: revolutions per minute ( rpm ); degrees per second Analogous to linear velocity
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Rotational displacement is how far the object rotates. Units: fractions of a complete revolution; degrees ; radians 1 complete revolution = 360º = 2 radians Analogous to linear displacement : the straight-line distance traveled by an object (including direction of travel)
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Rotational acceleration is the rate of change of rotational velocity. Units: revolutions per second per second ( rev/s 2 ); radians per second per second ( rad/s 2 ) Analogous to linear acceleration
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Constant acceleration equations for linear and rotational motion v v 0 at d v 0 t 1 2 at 2 0 t 0 t 1 2 t 2
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Relationship between linear and rotational velocity v r On a merry-go-round, a rider near the edge travels a greater distance in 1 revolution than one near the center. The outside rider is
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This note was uploaded on 04/23/2011 for the course PHYS 214 taught by Professor Staff during the Spring '08 term at Purdue.

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week7-1 - Linear Motion vs. Rotational Motion Linear motion...

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