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Copyright © 2004 S. B. Egli www.stuegli.com Created by Created by Mr. Egli Mr. Egli September 2004 September 2004 [email protected] [email protected]

Copyright © 2004 S. B. Egli Created by Mr. Egli September 2004 [email protected]

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Copyright © 2004 S. B. Egli

www.stuegli.com

Created byCreated by

Mr. EgliMr. EgliSeptember 2004September 2004

[email protected]@phyzx.com

Copyright © 2004 S. B. Egli

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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

sNext

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

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Physics Physics