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Unformatted text preview: 09/15/2010 Physics 201, Fall 2006, U.Wisconsin 1 Uniform Circular Motion a71 What does it mean? a71 How do we describe it? a71 What can we learn about it? 09/15/2010 Physics 201, Fall 2006, U.Wisconsin 2 What is UCM? Motion in a circle with: a177 Constant Radius R a177 Constant Speed  v  a177 Velocity is NOT constant (direction is changing) a177 There is acceleration! R v x y (x,y) 09/15/2010 Physics 201, Fall 2006, U.Wisconsin 3 How can we describe UCM? a71 In general, one coordinate system is as good as any other: a177 Cartesian: (x,y) [position] (v x ,v y ) [velocity] a177 Polar: (R, ) [position] (v R , ) [velocity] a71 In UCM: a177 R is constant (hence v R = 0 ). a177 = v / R (angular velocity) is constant. a177 Polar coordinates are a natural way to describe UCM! R v x y (x,y) 09/15/2010 Physics 201, Fall 2006, U.Wisconsin 4 Polar Coordinates: a71 The arc length s (distance along the circumference) is related to the angle in a simple way: s = R , where is the angular displacement . a177 units of are called radians . a71 For one complete revolution: 2 R = R c a177 c = 2 has period 2 ....
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This note was uploaded on 01/04/2011 for the course PHYS 195 taught by Professor Anderson during the Fall '07 term at San Diego State.
 Fall '07
 Anderson
 Circular Motion

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