Chapter 5 Notes

Chapter 5 Notes - . There are many examples of uniform...

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In uniform circular motion, an object of mass m travels at a constant speed v on a circular path of radius r . The period T of the motion is the time required for one revolution. The speed, the period , and the radius are related according to v = 2 π r / T . The velocity vector in such motion is always changing direction, and, therefore, an acceleration exists. This acceleration is called centripetal acceleration, and its magnitude is a c = v 2 / r , while its direction is toward the center of the circle. To create this acceleration, a net force pointing toward the center of the circle is needed. This net force is called the centripetal force, and its magnitude is F c = mv 2 / r
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Unformatted text preview: . There are many examples of uniform circular motion, including the banking of curves and the orbiting of satellites. The angle at which a friction-free curve is banked depends on the radius r of the curve and the speed v at which the curve is to be negotiated, according to tan = v 2 /( rg ). The speed and the period of a satellite in a circular orbit about the earth depend on the radius of the orbit, according to and , where G is the universal gravitational constant and M E is the mass of the earth. Apparent weightlessness and artificial gravity in satellites can be explained in terms of uniform circular motion....
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