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posted by  tocheer67 on 11/5/2009 3:12:44 AM  |  status: Closed  |  Earned Karma: 35

Centripetal Acceleration

Course Textbook Chapter Problem Needs by
General Physics N/A N/A N/A 11/6/2009 at 11:00:00 PM
Question Details:
Given,
\vec{r}(t)= R\left[\cos(\omega t)\hat{x} + \sin(\omega t)\hat{y}\right]
= R\cos(\omega t)\hat{x} + R\sin(\omega t)\hat{y}.
What is the velocity of the mass at a time t?
Express this velocity in terms of R, omega, t, and the unit vectors x_unit and y_unit.
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posted by E=mc*c (MNV) on 11/5/2009 4:27:53 AM  |  status: Live
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Response Details:
\vec{r}(t)= R\left[\cos(\omega t)\hat{x} + \sin(\omega t)\hat{y}\right]
= R\cos(\omega t)\hat{x} + R\sin(\omega t)\hat{y}.
What is the velocity of the mass at a time t?

velocity=dr/dt=d/dt[= R\cos(\omega t)\hat{x} + R\sin(\omega t)\hat{y}]=-RωsinωtVx+RωcosωtVy
Express this velocity in terms of R, omega, t, and the unit vectors x_unit and y_unit.
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