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ch05 - Chapter 5 Dynamics of Uniform Circular Motion 5.1...

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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.
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5.1 Uniform Circular Motion Let T be the time it takes for the object to travel once around the circle. v r T = 2 π 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 ( 29 s m 25 s 072 . 0 m 0.29 2 2 = = = π π T r v
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5.2 Centripetal Acceleration In uniform circular motion, the speed is constant, but the direction of the velocity vector is not constant. 90 = + β α 90 = + θ α θ β =
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5.2 Centripetal Acceleration r t v v v = r v t v 2 = r v a c 2 =
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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. r v a c 2 =
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5.2 Centripetal Acceleration Conceptual Example 2: Which Way Will the Object Go? An object is in uniform circular motion. At point O it is released from its circular path. Does the object move along the straight path between O and A or along the circular arc between points O and P ?
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5.2
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