Physics

Problem

An amusement-park ride consists of a circular platform that rotates about a vertical axis. A rider stands at the outer edge of the platform. a. (i) Show that the speed

v

of the rider is related to the radius

r

of the platform and the period

T

of rotation by an expression of the type

v \propto \dfrac{r}{T}

. b. (ii) The platform has a radius of

3.0\,\text{m}

and makes one complete rotation in

5.0\,\text{s}

. Calculate the speed of the rider. c. (iii) For safety, the speed must not exceed

6.0\,\text{m/s}

. If the radius of the platform is increased to

4.0\,\text{m}

, determine the minimum time period required to keep the rider’s speed at or below the safety limit.

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