Question

A carousel is an amusement ride consisting of a rotating circular platform with seats for riders. The carousel at a local theme park has a diameter of 32 feet. Each ride lasts 3 minute mes and the speed of the carousel is 4.3 revolutions or minute what is the maximum distance riders travel in one full ride?

Answer 1

1296.85 ft

Explanation:

Answer 2

The maximum distance riders travel in one full ride is:

1296.192 feet

Explanation:

It is given that the diameter(d) of carousel is: 32 feet.

This means that the distance travelled in one revolution is equal to the circumference(C) of the circle.

We know that the circumference of circle is given by:

`C=\pi* d\\\\\\C=3.14* 32\\\\\\C=100.48\ feet`

Also, Time of one full ride is: 3 minutes.

Speed of one full ride is: 4.3 revolutions per minute.

This means that the number of revolutions made is calculated as:

Number of revolution=Speed×Time

Number of revolution=4.3×3=12.9 revolutions.

Hence, total distance traveled in one full ride is:

Number of revolution made×Distance covered in one revolution

= 12.9×100.48

= 1296.192 feet