To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r→(t)=R[cos⁡(ωt)i^+sin⁡(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^ =Rcos⁡(ωt)i^+Rsin⁡(ωt)j^. Finally, express the magnitude of the particle's acceleration in terms of R and v using the expression you obtained for the speed of the particle. Express your answer in terms of one or both of the variables R and v. (the expression for speed = ωR)

To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r→(t)=R[cos⁡(ωt)i^+sin⁡(ωt)j^] =Rcos(ωt)i^+Rsin(ωt)j^ =Rcos⁡(ωt)i^+Rsin⁡(ωt)j^. Finally, express the magnitude of the particle's acceleration in terms of R and v using the expression you obtained for the speed of the particle. Express your answer in terms of one or both of the variables R and v. (the expression for speed = ωR)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...

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