Wheel Revolutions?

[coolguy67]

The question is: How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile?

I'm stumped on this one. I've tried plugging in what I have into a few different equations, but it doesn't seem like I have enough information to solve it. Thanks very much for the help.

 

[galactus]

Yes, there is enough info.

There are 63,360 inches in one mile.

The circumference of the wheel is \(\displaystyle 30{\pi}\approx 94.25 \;\ in\)

Thus, the number of revs is \(\displaystyle \frac{63,360}{30{\pi}}\approx 6,635\)

 

[mmm4444bot]

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