A bicycle wheel turns at 80 rpm. If the rider travels 27.227 m in 10 seconds, what is the radius of the wheels of the bicycle?

2.042 meters

Step-by-step explanation:

We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:

v = w * r

w = 80 rpm, but we must pass it to seconds, that is:

80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.

v = distance / time = 27,227 / 10 = 2.7227

therefore, the radius would be:

r = v / w = 2.7227 / 1,333

r = 2.042

Which means that the radius is 2.042 meters.