Question

A company has asked you to design a new Gravitron ride. They have a motor that will spin the passengers at 26.1 m/s. How large the would the machine need to be in order for the passengers to feel 8g's of acceleration?

Answer 1

I found: `8.7m`

Explanation:

I would say that the acceleration (centripetal) `a_c` should be equal to:

`8g=8*9.9=78.4`

So:
`a_c=v^2/r=78.4`
and:
`r=v^2/78.4=(26.1)^2/78.4=8.68~~8.7m`