Question

the diameter of an automobile wheel with its tire is 23 inches. how many revolutions does the wheel make in going a mile? and in going kilometer?

Answer 1

Question #29115

the diameter of an automobile wheel with its tire is 23 inches. how many revolutions does the wheel make in going a mile? and in going kilometer?

Answer:

The number of revolutions is:

$$N = \frac {S}{L}$$

Were S is the total distance L is the length of the wheel's circle

For mile

$$L = 3,14 * 23 = 72.22"$$ $$1 \text{ mile} = 63360"$$ $$N = \frac {63360}{72.22} = 877$$

For kilometer

$$L = 3,14 * 23 = 72.22" = 1.83 \text{ m}$$ $$N = \frac {1000}{1.83} = 546$$

Answer: for mile 877, for kilometer 546 revolutions.