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Phys205A_Lecture9

# Physics for Scientists & Engineers with Modern Physics (4th Edition)

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Chapter 4 Motion in Two Dimensions: Uniform Circular Motion Relative Velocity & Acceleration Lecture 9

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Uniform Circular Motion z Uniform circular motion occurs when an object moves in a circular path with a constant speed z (planet / satellite on a circular orbit, turbines etc) z The associated analysis motion is a particle in uniform circular motion z An acceleration exists since the direction of the motion is changing z This change in velocity is related to an acceleration z The velocity vector is always tangent to the path of the object
Changing Velocity in Uniform Circular Motion z The change in the velocity vector is due to the change in direction z The vector diagram shows fi =+ vv v rr r

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Centripetal Acceleration z The acceleration is always perpendicular to the path of the motion z The acceleration always points toward the center of the circle of motion z This acceleration is called the centripetal acceleration z Its value:
Centripetal Acceleration, cont z The magnitude of the centripetal acceleration vector is given by z The direction of the centripetal acceleration vector is always changing , to stay directed toward the center of the circle of motion 2 C v a r =

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Phys205A_Lecture9 - Lecture 9 Chapter 4 Motion in Two...

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