{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: . There are many examples of uniform circular motion, including the banking of curves and the orbiting of satellites. The angle θ 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....
View Full Document

{[ snackBarMessage ]}