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Sedaia [141]
4 years ago
12

On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet fro

m the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.
Mathematics
1 answer:
abruzzese [7]4 years ago
5 0

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

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