copyright © 2004 s. b. egli created by mr. egli september 2004 [email protected]
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Copyright © 2004 S. B. Egli
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Created byCreated by
Mr. EgliMr. EgliSeptember 2004September 2004
[email protected]@phyzx.com
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Circular MotionCircular Motion
Axis – Axis – straight straight line at line at center of center of and normal and normal to rotation to rotation pathpath
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Circular MotionCircular Motion
Radius - Radius - perpendiculaperpendicular distance r distance from axis to from axis to center of center of objectobject
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Circular Motion - Circular Motion - Ball on StringBall on StringWhen the string breaks When the string breaks which way does the ball which way does the ball go?go?Click on your choice Click on your choice below.below.
String
AB
C
AA BB CC
We know from Newton that bodies move in straight lines unless acted on by external forces! This direction is the TANGENT to the circle (path of motion)
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Circular MotionCircular Motion
Centripetal Centripetal ForceForce
= mv= mv22/r/r
‘‘the force that is the force that is acting towards acting towards
the axis’the axis’NOTE: this can NOTE: this can be a ‘push’ or a be a ‘push’ or a
‘pull’‘pull’
v
r
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Circular MotionCircular Motion
AxisAxis
RadiusRadius
Linear SpeedLinear Speed
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Circular MotionCircular Motion
Revolution – Revolution – axis outside of axis outside of the object the object (moon orbiting (moon orbiting the earth is the earth is revolving)revolving)
Rotate – axis Rotate – axis inside the body inside the body (earth rotates (earth rotates on its axis)on its axis)
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Circular MotionCircular Motion
Linear speedLinear speed
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The Radius Vector
The radius for circular motion is a vector. It is shown at the left drawn in red. This radius vector locates the orbiting object. One should imagine an x, y coordinate system with its origin at the center of the circle. The radius extends from this origin to the position of the object.Previou
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Introduction Home
The radius vector.
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Circular MotionCircular Motion
Rotational Rotational SpeedSpeedUnitsUnits
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Circular MotionCircular Motion
Centripetal Centripetal ForceForce
= mv= mv22/r/r
‘‘at ½ the at ½ the radius the radius the
acceleration acceleration is doubled’is doubled’
v
r
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Circular MotionCircular Motion
Centripetal Centripetal ForceForce
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Circular MotionCircular Motion
Centrifugal Centrifugal forceforce
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Circular MotionCircular Motion
Simulated Simulated GravityGravity
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Circular MotionCircular Motion
Sample Sample SolutionsSolutions
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Circular MotionCircular Motion
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Circular MotionCircular Motion