How many revolutions will a car wheel of diameter 26 in make

How many revolutions will a car wheel of diameter 26 in. make as the car travels a distance of one mile? (Round your answer to the nearest whole number.)

Solution

Here we have the rule that wheel completes in one revolution, distance equal to its circumference.

Now as diameter = 26 inch, so its circumference = diameter x pi = 26 x 3.14 =81.64 inch.

So it covers 81.64 inch in one revolution.

Now as we have the conversion formula that 1 mile = 63360 inches

so in 1 mile or in 63360 inches, it will do total revolution = 63360/81.64 =776

so required revolutions are 776.

Answer