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

Answer:

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

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;

$t = \frac{\omega _f - \omega _i}{\alpha} \\\\t = \frac{o.24 -0}{0.033}\\\\t = 7.27 \ s$

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