PH2014_Ch13_Rotation

PH2014_Ch13_Rotation - 1 Chapter 13: Rotational Motion How...

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Unformatted text preview: 1 Chapter 13: Rotational Motion How to describe and analyze rotational motions? 2 Angular Velocity and Rigid Body Rotational motions of a thin rod: A B a b A B A B For a rigid bodyone whose parts remains in fixed positions relative to each otherthen a single parameter, , is sufficient to describe the rotational motion of the entire rod. Units of : rpm (revolutions per minute) or rad/s (radian per second) Angular velocity: dt d t = = lim t 3 Angular Velocity and Linear Speed Rotational motions of a disc: s P O > - < OP r r = = r s Displacement of point P in the disc: r t r t s v = = = lim lim Linear speed of point P : t t 4 Application 1: Angular Speed A wind turbines blades are 28 m long and rotate at 10 rpm. Find the angular speed of the blades in radians per second, and determine the linear speed at the tip of a blade. 1 revolution = 2 radians 1 minute = 60 seconds = 10 revolutions per minute =10 rev/min s rad s rev rev / 1 . 1 min / 60 ) / 2 min)( / 10 ( = = s m m s rad r v / 31 28 ) / 1 . 1 ( = = = 5...
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This note was uploaded on 04/17/2008 for the course PHYS 2014 taught by Professor Nandi during the Spring '08 term at Oklahoma State.

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PH2014_Ch13_Rotation - 1 Chapter 13: Rotational Motion How...

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