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

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Chapter 5 Dynamics of Uniform Circular Motion 70 Chapter 5 DYNAMICS OF UNIFORM CIRCULAR MOTION PREVIEW An object which is moving in a circular path with a constant speed is said to be in uniform circular motion . For an object to move in a circular path, there must be a force exerted on the object which is directed toward the center of the circular path called the centripetal force . This centripetal force gives rise to centripetal acceleration . This centripetal force can be provided by tension in string, friction acting between tires and the road, or the gravitational force holding a satellite in orbit around a planet or star. The content contained in sections 1 – 4 and 5 – 8 of chapter 5 of the textbook is included on the AP Physics B exam. QUICK REFERENCE Important Terms centripetal acceleration the acceleration of an object moving in circular motion which is directed toward the center of the circular path centripetal force the central force causing an object to move in a circular path period the time for one complete cycle or revolution satellite motion the motion of a satellite orbiting under the influence of gravity in a circular or elliptical path around a larger mass tangential velocity the velocity tangent to the path of an object moving in a curved path uniform circular motion motion in a circular path of constant radius at a constant speed
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Chapter 5 Dynamics of Uniform Circular Motion 71 Equations and Symbols r GM v r mv F r v a T r v E c c 2 2 2 where v = velocity or speed of an object in circular motion or orbiting satellite r = radius of circular motion or orbit T = period of revolution a c = centripetal acceleration F c = centripetal force m = mass G = gravitational constant = 6.67 x 10 -11 N m 2 / kg 2 M E = mass of the earth = 5.98 x 10 24 kg Ten Homework Problems Chapter 5 Problems 7, 8, 13, 18, 30, 36, 38, 40, 49, 54 DISCUSSION OF SELECTED SECTIONS 5.1 – 5.3 Uniform Circular Motion, Centripetal Acceleration and Centripetal Force The law of inertia states that if an object is moving it will continue moving in a straight line at a constant velocity until a net force causes it to speed up, slow down, or change direction. If a force on an object is constantly applied toward a central point, the object will be pulled away from its straight-line path, and will follow a circular path. As long as the string is pulled toward this central point, the ball will continue moving in a circle at a constant speed . An object moving in a circle at a constant speed is said to be in uniform circular motion (UCM). Notice that even though the speed is constant, the velocity vector is not constant, since it is always changing direction due to the central force that the string applies to the ball, which we will call the centripetal force F c . Centripetal means “center-seeking”. The three vectors associated with uniform circular
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This note was uploaded on 03/30/2012 for the course PHYSICS 201 taught by Professor Rollino during the Fall '11 term at Rutgers.

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

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