Question

The diameter of each wheel of a bicycle is 26 inches. If you traveling at a speed of 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?

Answer 1

452.49 rev/min

Explanation:

The circumference of the wheel is pi times the diameter. The rest is units conversion.

`35(mi)/(h)=(35\,mi)/(1\,h)\cdot(1\,h)/(60\,min)\cdot(5280\,ft)/(1\,mi)\cdot(12\,in)/(1\,ft)\cdot(1\,rev)/(26\pi\,in)\\\\=(35\cdot 5280\cdot 12)/(60\cdot 26\pi)\cdot(rev)/(min)\approx(452.49\,rev)/(min)`