Question

A Ferris Wheel, starting from rest, undergoes a constant angular acceleration of 0.033 rad/s2 to get to its final operating angular velocity of 0.24 rad/s. (a) How long does it take the Ferris Wheel to get to its operating angular velocity

Answer 1

The time taken for the Ferris Wheel to get the final angular velocity is 7.27 s.

Step-by-step explanation:

Given;

initial angular velocity of the Ferris Wheel,
`\omega _i` = 0

angular acceleration, α = 0.033 rad/s²

final angular velocity,
`\omega _f` = 0.24 rad/s

The time taken for the Ferris Wheel to get the final angular velocity is calculated as;

`t = (\omega _f - \omega _i)/(\alpha) \\\\t = (o.24 -0)/(0.033)\\\\t = 7.27 \ s`

Therefore, the time taken for the Ferris Wheel to get the final angular velocity is 7.27 s.