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

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:

numberofrevolutionthe wheel makes in 7 miles is4706 revolutions## How to find the number of full revolutions the wheel makes?

circumferenceis travelled in1 revolution.circumference C = πdwhere d = diameter of wheel = 30 inC = πd= 443520 innumberofrevolutionthe wheel makes in 7 miles is N = D/C≅ 4706to the nearest whole numbernumberofrevolutionthewheelmakes in 7 miles is4706 revolutionsnumberofrevolutionsofwheelhere: