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6.3 Centripetal Force - University Physics Volume 1 | OpenStax

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In Motion in Two and Three Dimensions, we examined the basic concepts of circular motion. An object undergoing circular motion, like one of the race cars shown at the beginning of this chapter, must be accelerating because it is changing the direction of its velocity. We proved that this centrally directed acceleration, called centripetal acceleration, is given by the formula where v is the velocity of the object, directed along a tangent line to the curve at any instant. If we know the angular velocity 𝜔 𝜔 , then we can use Angular velocity gives the rate at which the object is turning through the curve, in units of rad/s. This acceleration acts along the radius of the curved path and is thus also referred to as a radial acceleration. An acceleration must be produced by a force. Any force or combination of forces can cause a centripetal or radial acceleration. Just a few examples are the tension in the rope on a tether ball, the force of Earth’s gravity on the Moon, friction betwee

6.3 Centripetal Force - University Physics Volume 1 | OpenStax Skip to Content Go to accessibility page Keyboard shortcuts menu University Physics Volume 1 6.3 Centripetal Force University Physics Volume 1 6.3 Centripetal Force Contents Highlights Print Close 6.3 Centripetal Force By the end of this section, you will be able to: Explain the equation for centripetal acceleration Apply Newton’s second law to develop the equation for centripetal force Use circular motion concepts in solving problems involving Newton’s laws of motion In Motion in Two and Three Dimensions , we examined the basic co

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