Finding the revolution of this problem

How many revolutions will a car wheel of diameter 26 inches make as the car travels a distance of seven miles?

sadly i can't solve it

Quote:

Originally Posted by lildeathboy

How many revolutions will a car wheel of diameter 26 inches make as the car travels a distance of seven miles?

sadly i can't solve it

1. The circumference of the wheel is

$c = \pi \cdot d~\implies~c=26\pi\ ''$

2. Convert the 7 miles into inches. (I'm not used to inches, miles, etc. so I used a calculator. But better check this value!)

$7\ mi = 443520\ ''$

3. To determine how often 7 miles contain the circumference of the wheel you have to divide:

$r = \dfrac{443520\ ''}{26\pi\ ''} \approx 5429.9\ revolutions$

thank you

i really appreciate it