# A Simple Derivation Of The Centripetal Acceleration Formula

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Vector and posted on August 13th, 2018.

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Formula. The magnitude of the centripetal force on an object of mvector m moving at tangential speed v along a path with radius of curvature r is where is the centripetal acceleration.In this related lesson you will find a derivation of this formula for the period of a simple pendulum that will help you understand the restrictions on its use. It will also explain to you why a simple pendulum is NOT a true representation of simple

Consider Figure 1 on the right which shows the forces acting on a simple pendulum. Note that the path of the pendulum sweeps out an arc of a circle. The angle is measured in radians and this is crucial for this formula.Discussion constant acceleration. Calculus is an advanced math topic but it makes deriving two of the three equations of motion much simpler. By definition acceleration is the first derivative of velocity with respect to time.The Youvector channel contains a series of Physics vector which are intended to give a basic introduction to the subjects covered. They explain the essence of the subject in as simple as way as possible.

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## A Simple Derivation Of The Centripetal Acceleration Formula

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