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yanalaym [24]
3 years ago
15

A bicycle wheel travels 30π inches for each revolution. What is the diameter of the wheel?

Mathematics
1 answer:
hoa [83]3 years ago
7 0

The distance traveled is given by:

S = R \alpha

Where,

R: bicycle wheel radio

α: central angle

The angle for a revolution is:

1rev = 2 \pi rad

Therefore, substituting values we have:

30\pi = R (2\pi)

Clearing the radio we have:

R = \frac{30\pi}{2\pi}

R = 15

Then, the diameter is given by:

d = 2R

d = 2 (15)

d = 30

Answer:

the diameter of the wheel is:

d = 30in

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