Acceleration is the time derivative of velocity. Because velocity is a vector, i

Question

Acceleration is the time derivative of velocity. Because velocity is a vector, it can change in two ways: the length (magnitude) can change and/or the direction can change. The latter type of change has a special name, the centripetal acceleration. In this problem we consider a mass moving in a circle of radius R with angular velocity w, r(t)=R[cos(wt)x + sin(wt)y] = Rcos(wt)x + Rsin(wt)y
What is the average acceleration of the mass during the time interval from to
Express this acceleration in terms of R, w, t, and the unit vectors x and y.

Explanation / Answer

Part A: -R? sin(?t) x + R? cos(?t) y , where x andy are the unit vectors Part B: R? sin(?t) x + R? cos(?t) y Part C: -(2R? sin(?t) x)/(t + t)

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