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## Elmira, New York boasts of having the fastest carousel ride in the world. The merry-go-round at Eldridge Park takes riders on a spin at 18 m

Question

Elmira, New York boasts of having the fastest carousel ride in the world. The merry-go-round at Eldridge Park takes riders on a spin at 18 mi/hr (8.0 m/s). The radius of the circle about which the outside riders move is approximately 7.4 m. a. Determine the time for outside riders to make one complete circle. b. Determine the acceleration of the riders.

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Physics
3 years
2021-08-27T07:37:59+00:00
2021-08-27T07:37:59+00:00 1 Answers
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## Answers ( )

The time taken is

5.81 sand the acceleration is8.64 m/s².Explanation:a) The time taken by the riders to make

one complete cyclecan be determined easily from theratio of circumference of the circular pathto the speed with which the riders are moving.Distance traveled by the riders will be equal to the

circumference of the circleas they are moving incircular motion.So the speed with which they are moving is 8 m/s and the distance traveled by them to complete one circle will be the circumference of the circle.

As the radius of the circle is given as 7.4 m, the distance will be

So the time taken by the riders to cover 46.5 m with speed of 8 m/s is

Thus,

5.81 sis required by the riders to completeone cycle with 8 m/sspeed.b) The acceleration of the riders can be found by finding the

ratio of speed square to the radius.So the acceleration of the riders is

1.38 m/s².Thus, the time taken is

5.81 sand the acceleration is1.38 m/s².