Question

On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.

Answer 1

Answer:

The angular velocity is 8.38 radians per minute

Step-by-step explanation:

From the question,

It takes 45 seconds to complete a full revolution,

That is, 1rev/45secs

First, we will convert this to revolutions per minute (rev/min)

1rev/45secs = $\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}$

= 4/3 rev/min

Now, we will convert this to radians per minute (rad/min)

1 revolutions = 2π rad

4/3 rev/min = $\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}$

= 8.38 rad/min

Hence, the angular velocity is 8.38 radians per minute