Question

A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has a 7.80 m radius, at how many revolutions per minute will the riders be subjected to a centripetal acceleration 1.60 times that due to gravity? (You do not need to enter any units.)

Answer 1

Answer:N=13.53 rpm

Step-by-step explanation:

Given

radius
`r=7.80 m`

Centripetal acceleration
`a_c=1.6 g`

and centripetal acceleration
`a_c=\omega ^2r`

where
`\omega =angular\ velocity`

`1.6* 9.8=\omega ^2* 7.8`

`\omega ^2=2.0102`

`\omega =1.417 rad/s`

and
`\omega =(2\pi \cdot N)/(60)`

`1.417* 60=2\pi \cdot N`

`N=13.53 rpm`