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Uniform Circular Motion Equations

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Presentation on theme: "Uniform Circular Motion Equations"— Presentation transcript:

1 Uniform Circular Motion Equations
Adapted for B.W. Physics by Dick Heckathorn 15 September 2K + 6

2 Demonstrations Rotating Bike Wheel Rotating Ne-2 Lights Accelerometer

3 Distance to travel circumference (C) = 2 π R
Time to travel circumference T Velocity directed tangent to the circle

4 What is the radius vector doing?

5 R R R

6 What is the radius vector doing?
It is changing direction 360o in time T What is the velocity vector doing?

7 v v v

8 What is the velocity vector doing?
It is changing direction 360o in time T What is the acceleration vector doing?

9 a a a

10 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

11 Since ‘v’ is changing 360o in time T And ‘a’ is also changing 360o
in time T , then

12 v a v a R R v a R

13 1 v R T 2 v T a 3 v R a 4 R T a

14 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

15

16 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

17

18 That’s All Folks


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