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lecture11

# lecture11 - Ch 5 Uniform Circular Motion An bj t t A object...

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Ch. 5 – Uniform Circular Motion An object traveling at constant speed on a circular path is undergoing Uniform Circular Motion (UCM). Example : Spinning a ball on a string. p pg g v r Since the speed is constant in UCM, it’s sometimes useful to talk about the period of the motion, which is the time it takes to complete 1 revolution. The distance of one revolution is just the circumference of the circle: 2 π r v r t 2 velocity distance = = This time is the period , T : v r T 2 = Notice, units are [ s ].

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Example : How long does it take a plane traveling at a constant speed of 110 m/s to fly once around a circle with a radius of 2850 m? Once around is just the period: v r T π 2 = m/s 110 m) 2850 ( 2 = min. 2.72 s 163 = = Look at UCM from above again. v r The speed is constant, but is the velocity constant??? NO!!! The velocity changes direction a c as the ball moves around in a circle. Since the velocity is changing direction, the ball must be accelerating! What is the direction of the acceleration? D It points inward , toward the center of the motion! This acceleration is called the Centripetal Acceleration : a c
How do we calculate the centripetal acceleration? We calculate it the same way we would for any acceleration. We need to find the change in the velocity of the ball over time.

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lecture11 - Ch 5 Uniform Circular Motion An bj t t A object...

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