11-circular and relative motion

# 11-circular and relative motion - PHYS 211 2D and 3D Motion...

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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 Δ θ r s v 1 v 2 v 1 v 2 Δ θ Δ v = v 2 − v 1 360 ° = 2 π r r = 2 π Consider a ball moving at speed v around a circle as shown below s = v Δ t Δ θ = s r Distance Angle Δ θ = Δ v v Δ θ = v Δ t r Δ v v = v Δ t r Δ v Δ 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 π r = vT T = 2 π r v frequency (f)- (cycles/sec) Hz or s-1 f = 1 T Relate Period (T) and centripetal acceleration (a c ) T 2 = 4 π 2 r v 2 = 4 π 2 r r v 2 = 4 π 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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## This note was uploaded on 10/03/2011 for the course PHYS 211 taught by Professor Pettie during the Spring '08 term at South Carolina.

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11-circular and relative motion - PHYS 211 2D and 3D Motion...

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