The distance traveled is given by:
[tex] S = R \alpha [/tex]
Where,
R: bicycle wheel radio
α: central angle
The angle for a revolution is:
[tex] 1rev = 2 \pi rad [/tex]
Therefore, substituting values we have:
[tex] 30\pi = R (2\pi) [/tex]
Clearing the radio we have:
[tex] R = \frac{30\pi}{2\pi} [/tex]
[tex] R = 15 [/tex]
Then, the diameter is given by:
[tex] d = 2R [/tex]
[tex] d = 2 (15) [/tex]
[tex] d = 30 [/tex]
Answer:
the diameter of the wheel is:
[tex] d = 30in [/tex]
