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# p111_lecture10 - Chapter 5 Dynamics of Uniform Circular...

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Chapter 5 Dynamics of Uniform Circular Motion

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5.1 Uniform Circular Motion DEFINITION OF UNIFORM CIRCULAR MOTION Uniform circular motion is the motion of an object traveling at a constant speed on a circular path.
5.1 Uniform Circular Motion Let T be the time it takes for the object to travel once around the circle. T period of the circular motion v r T = 2 ! r

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5.1 Uniform Circular Motion Example 1: A Tire-Balancing Machine The wheel of a car has a radius of 0.29m and it being rotated at 830 revolutions per minute on a tire-balancing machine. Determine the speed at which the outer edge of the wheel is moving. revolution min 10 2 . 1 min s revolution 830 1 3 ! " = s 072 . 0 min 10 2 . 1 3 = ! = " T ( ) s m 25 s 072 . 0 m 0.29 2 2 = = = ! ! T r v
5.2 Centripetal Acceleration In uniform circular motion, the speed is constant, but the direction of the velocity vector is not constant. o 90 = + ! " o 90 = + ! " ! " =

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5.2 Centripetal Acceleration r t v v v ! = ! r v t v 2 = ! ! r v a c 2 = Centripetal acceleration
5.2 Centripetal Acceleration The direction of the centripetal acceleration is towards the center of the circle; in the same direction as the change in velocity.

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p111_lecture10 - Chapter 5 Dynamics of Uniform Circular...

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