The radius of each wheel on a bicycle is 0.400 m. the bicycle travels a distance of 3.0 km. assuming that the wheels do not slip, how many revolutions does each wheel make?

Respuesta :

First, we need to calculate the perimeter of the wheel:
[tex]p= 2 \pi r= 2 \pi (0.400 m)=2.51 m[/tex]
The perimeter corresponds to one complete revolution of the wheel. The wheel travels for a total of [tex]L=3.0 km=3000 m[/tex], so in order to understand to how many revolutions does this number corresponds, we can set a simple proportion:
[tex]2.51 m: 1 rev = 3000 m:x[/tex]
And so, we find
[tex]x= \frac{3000 m}{2.51 m}=1195 rev [/tex]
So, each wheel made 1195 revolutions.