Question

A Ferris wheel of radius 6 m rotates once in
26 s.
What is its angular velocity?
Answer in units of rad/s.

Answer 1

Answer on Question 57866, Physics, Solid State Physics

Question:

A Ferris wheel of radius 6 m rotates once in 26 s. What is its angular velocity?

Answer in units of rad/s.

Solution:

Angular velocity is defined as the change in angular displacement, $\theta$, per unit of time $t$ (since one revolution is equal to $2\pi$ radians it means that $\Delta \theta = 2\pi$):

$$\omega = \frac{\Delta \theta}{\Delta t} = \frac{2 \pi}{26 \, s} = 0.24 \, \frac{rad}{s}.$$

Answer:

$$\omega = 0.24 \, \frac{rad}{s}.$$

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