Question

A Ferris wheel rotates 12 times on for each ride. A passenger is 5 meters from the center of the wheel. The ride takes 10 minutes to complete. What is the angular speed (in radians/second) of the passenger?

Answer 1

The angular speed of the passenger in radians per second is 0.126 rad/s.

The given parameters;

• number of turns of the wheel, N = 12
• position of the passenger from the center of the wheel, r = 5 m
• time of motion, t = 10 minutes, = 600 s

The angular speed of the passenger in radians per second is calculated as follows;

$\omega = \frac{2\pi N}{T} \\\\\omega = \frac{2\pi \times 12 \ rad}{600 \ s} \\\\\omega = 0.126 \ rad/s$

Thus, the angular speed of the passenger in radians per second is 0.126 rad/s.

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