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The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
Find the circumference of the tire.
About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
a) To find the circumference of the tire, we can use the formula:
Circumference = Diameter × π
C = 2.5 ft × π
C ≈ 2.5 ft × 3.14 (using the approximation for π)
C ≈ 7.85 ft
So the circumference of the tire is approximately 7.85 feet.
b) To find how many times the tire has to rotate to travel 1 mile, we can use the following formula:
Number of rotations = Total distance / Circumference of the tire
Since 1 mile is equal to 5,280 feet:
Number of rotations = 5,280 ft / 7.85 ft
Number of rotations ≈ 672.6
Since the tire cannot rotate a partial time, we will round up to the nearest whole number.
Number of rotations ≈ 673
So the tire will have to rotate approximately 673 times to travel 1 mile.