"Not everything that counts can be counted, and not everything that can be counted, counts."
- Einstein
Y2K Ducati Women's Motorcycle Team
I. Uniform Circular Motion
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"What does this picture tell you about the speed of these motorcyclists?" |
Nina Prinz and Letizia Marchetti - Ducati Women's Motorcycle Racing Team
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"A large centripetal (center directed) force in needed to turn at high speeds." |
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Circular Motion Rutgers U. |
St. Mary's H.S. Physics
Skater
Rutgers U.
In order for an object to move at constant speed in a circle, an outside force must constantly turn the object toward the center of circular path. |
Circular Motion, Car on a Banked Track
by Dr. Michael R. Gallis - mrg3@psu.edu Penn State Schuylkill
Go Nittany Lions!!
Draw the centripetal force,
and tangential velocity
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Draw the centripetal force,
and tangential velocity
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Draw the centripetal force, and tangential velocity
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Where should you release the ball to hit the target? |
| Larger |
B
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At point P, the car hits |
June 2001 Regents
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B, Tangent to |
A. Equations & Vectors
1. Centripetal Acceleration (ac) - acceleration toward center of curvature
| a) Equation: | ac = | V2 |
| r |
b) (V) Instantaneous Velocity - tangent to circle, in the direction of the motion
c) Centripetal Force (Fc) - force directed toward the center of the circle
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Ex) A car moving in a circular path with a radius of 2.0 m has a velocity of 8.0 m/s. What is the centripetal acceleration of this car? |
Ex) A car moving in a circular path with a radius of 2.0 m has a velocity of 8.0 m/s. What is the centripetal acceleration of this car?
| ac = | V2 |
| r |
| ac = | (8.0 m/s)2 |
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2.0 m |
ac = 64/2
ac = 32. m/s2
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