Question

A Ferris wheel on a California pier is 38 m high and rotates once every 26 seconds in the counterclockwise direction. When the wheel starts turning, you are at the very top. What is your speed v? Express your answer with appropriate units

Answer 1

The speed off the wheel at the top is 4.57 m/s.

Step-by-step explanation:

Given that,

A Ferris wheel on a California pier is 38 m high and rotates once every 26 seconds in the counterclockwise direction. 38 m will be the diameter of the wheel. The angular speed of the wheel is given by :

`\omega=(2\pi)/(T)\\\\\omega=(2\pi)/(26)\\\\\omega=0.241\ rad/s`

We need to find the speed of the wheel when you are at the very top. So,

`v=r\omega\\\\v=19* 0.241\\\\v=4.57\ m/s`

So, the speed off the wheel at the top is 4.57 m/s.