Calculate the angular velocity in radians per minute of a Ferris wheel 250 ft in diameter that takes 45 s to rotate once. Express the answer in terms of `pi` . Thank you to anyone who helps!
The formula of of angular velocity is:
`omega` - angular velocity
`theta` - angle of rotation
`t` - time
Since it takes 45 seconds to rotate once, then `theta = 2pi` . And, converting the time to minutes, then the value of t is:
`t= 45 sec * (1 min)/(60 sec)= 3/4`
`omega = (2pi)/(3/4)=2pi*(4/3)=(8pi)/3`
Hence, the angular velocity is `(8pi)/3` radian per minute.