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8. Centripetal Forces & Gravitation - Part 1 of 3
8. Centripetal Forces & Gravitation / Uniform Circular Motion / Problem 3

Consider a Ferris wheel rotating in the vertical plane, with the position of a cabin modeled as a point moving in a circular path. The position in the xy-plane is given by r=(15.0 m)cos[(0.500 rad/s)t]i^+(15.0 m)sin[(0.500 rad/s)t]j^\vec{r}=(15.0\mathrm{\ m})\cos [(0.500\ \mathrm{rad}/\mathrm{s})t]\hat{i}+(15.0\mathrm{\ m})\sin [(0.5\mathrm{00\ rad}/\mathrm{s})t]\hat{j} , where r is in meters, and t is in seconds. Calculate the velocity and acceleration of the cabin as functions of time.

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