Question

A wheel on tractor has a 30-inch diameter How many full revolutions does the wheel make if the tractor travels 7 miles? (Round your answer down to the nearest whole number.)

Answers

  1. The number of revolution the wheel makes in 7 miles is 4706 revolutions

    How to find the number of full revolutions the wheel makes?

    Since the wheel is a circle, its circumference is travelled in 1 revolution.
    So, circumference C = πd where d = diameter of wheel = 30 in
    So, C = πd
    = π × 30 in
    = 30π in
    = 94.25 in
    Now, we need to find the number of revolutions the wheel makes when the tractor travels D = 7 miles.
    Since 1 mile = 63360 in,
    Converting miles to inches, we have D = 7 miles
    = 7 × 1 mile
    = 7 × 63360 in
    = 443520 in
    So, the number of revolution the wheel makes in 7 miles is N = D/C
    = 443520 in/94.25
    = 4705.89
    ≅ 4706 to the nearest whole number
    So, the number of revolution the wheel makes in 7 miles is 4706 revolutions
    Learn more about number of revolutions of wheel here:
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