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A mountain bike is fitted with 29 inch tired. The 29 inch represent the diameter of the tire. How many revolutions of the tire will it takebto make the bicycle travel one mile? (1 mile=5,280 feet)

1 Answer

9 votes

Answer:

695 revolutions

Explanation:

Finding the number of revolutions is basically a units conversion problem. You want to translate miles to revolutions. We can do this by way of feet and inches. The circumference of the wheel is pi times the diameter.

1 mi = (1 mi) × (5280 ft)/(1 mi) × (12 in)/(1 ft) / (29π in)/(1 rev)

= (1·5280·12·1)/(1·1·29π) = (63360/(29π)) rev ≈ 695.45 rev

About 695 revolutions will be needed to make the bike travel 1 mile.

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