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Uniform Circular Motion Equations
Adapted for B.W. Physics by Dick Heckathorn 15 September 2K + 6
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Demonstrations Rotating Bike Wheel Rotating Ne-2 Lights Accelerometer
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Distance to travel circumference (C) = 2 π R
Time to travel circumference T Velocity directed tangent to the circle
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What is the radius vector doing?
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R R R
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What is the radius vector doing?
It is changing direction 360o in time T What is the velocity vector doing?
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v v v
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What is the velocity vector doing?
It is changing direction 360o in time T What is the acceleration vector doing?
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a a a
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What is velocity vector doing?
It is changing direction 360o in time T What is acceleration vector doing? It is changing direction o in time T
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Since ‘v’ is changing 360o in time T And ‘a’ is also changing 360o
in time T , then
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v a v a R R v a R
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1 v R T 2 v T a 3 v R a 4 R T a
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Direction of Vectors Each vector has its own particular direction
There is no rules for these vector directions as there was for multiplying a scalar quantity times a vector quantity. You must remember to draw them or describe their direction from memory
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Specifications Diameter 6 m (20 ft) Weight 1125 Kg (2475 pounds)
Axis spindle wheel hub diameter 33 cm 13 inches Maximum Revolutions per second 30 Maximum tangential velocity m/s Maximum sustained ‘g’ force Maximum sustained centripetal force Assuming 75 kg mass N Remember kids, it’s a center seeking force Maximum time until extreme Nausea (heaving) s
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That’s All Folks
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