11-circular and relative motion

11-circular and relative motion - PHYS 211 2/09/09 2D and...

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Unformatted text preview: PHYS 211 2/09/09 2D and 3D Motion Describe: Circular Motion Relative Motion Circular Motion Velocity and acceleration vectors constant magnitude changing direction Note v is always tangent to the path of motion Centripetal Acceleration r s v 1 v 2 v 1 v 2 v = v 2 v 1 360 = 2 r r = 2 Consider a ball moving at speed v around a circle as shown below s = v t = s r Distance Angle = v v = v t r v v = v t r v t = v 2 r = a c Acceleration as t->0, a c points towards center of circle Circular Motion When v is perpendicular to a , get change in directions and no change is magnitude of v Period (T)- time to complete on revolution (cycle) 2 r = vT T = 2 r v frequency (f)- (cycles/sec) Hz or s-1 f = 1 T Relate Period (T) and centripetal acceleration (a c ) T 2 = 4 2 r v 2 = 4 2 r r v 2 = 4 2 r a c Circular Motion Example A boy whirls a stone in a horizontal circle of radius 1.5 m at a height of 2.0 m above level A boy whirls a stone in a horizontal circle of radius 1....
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11-circular and relative motion - PHYS 211 2/09/09 2D and...

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