A child is sitting on a Ferris wheel of diameter 10 m making one revolution ever

Question

A child is sitting on a Ferris wheel of diameter 10 m making one revolution every 2 minutes. If we put the center of the wheel at the origin, find the components of the position vector r(t) (assuming the problem is two-dimensional). Show that the velocity vector is perpendicular to r for all t. Show that the acceleration vector is directed towards the origin and is a multiple of r(t) for all t (This is centripetal acceleration). Assume now that the Ferris wheel is moving upwards so that the k component of the position vector r(t) is equal to t (the problem is now three-dimensional). The trajectory of the child now becomes a helix. Find the distance travelled by the child after one revolution of the Ferris wheel.

Explanation / Answer

pi*10=31.4 m

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