Finding the revolution of this problem

**lildeathboy** · January 7th 2009, 08:58 PM

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

**earboth** · January 7th 2009, 09:53 PM

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:

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

**lildeathboy** · January 7th 2009, 10:33 PM

i really appreciate it

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