A bicycle wheel with a diameter of 730 millimeters has 25 spokes evenly distributed around the rim of the wheel. What is the length of the segment of wheel rim subtended by adjacent pairs of spokes?

1 Answer
Feb 21, 2018

Given that the diameter of bicycle wheel #d=730mm#

The radius of bicycle wheel # r=d/2=730/2=365mm#

Evenly distributed 25 spokes around the rim of the wheel divide the rim into 25 equal parts and each part will form an angle #theta=(2pi)/25# rad at the center of the wheel.

So the length of the segment of wheel rim subtended by adjacent pairs of spokes will be

#l=theta*r=(2pi)/25*365~~91.67mm#