Question

A Ferris wheel with 60 spokes has a diameter of 100 m. It makes one rotation every 60 seconds. Find the speed of the passengers when the Ferris wheel is rotating at this rate.

A. 5.24 m/s
B. 6.23 m/s
C. 7.45 m/s
D. 8.01 m/s

Answer 1

v = 5.24 m/s

Step-by-step explanation:

Given that,

No of spokes of a Ferris wheel = 60

The diameter of a wheel, d = 100 m

Radius, r = 50 m

It makes one rotation every 60 seconds.

We need to find the speed of the passengers when the Ferris wheel is rotating at this rate. Let it is v. It can be calculated as follows :

`v=r\omega\\\\=(2\pi r )/(T)\\\\=(2\pi * 50 )/(60)\\\\v=5.235\ m/s`

or

v = 5.24 m/s

So, the speed of the passengers is 5.24 m/s. Hence, the correct option is (A).