How do we derive the formulas for centripetal force and acceleration?

posted Dec 17, 2017, 10:37 AM by Barbara Fortunato
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updated Jan 4, 2018, 4:56 AM
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5: Th 12/20, 7: F 12/21 shortened for half day

Today, we will learn how speed, mass, and radius affect the acceleration of an object moving in a circle. We will verify our experimental results with the derivation of the centripetal acceleration formula. Then, we'll look at 3-D circular motion problems. The important thing to remember here is that the centripetal acceleration is towards the center of the circle in the plane of the circle! We'll look at some real life examples including a car going around a curve, the rotor ride, and the swing ride.

If you missed class or would like to review the derivation from class, you may watch the following video:

Derivation of Centripetal Force Equations (J. Regester)