Ball Bearings
Ball Bearings
A ball bearing consists of a central cylinder of radius surrounded by tangent balls of radius . All the balls are circumscribed by a hollow cylinder with radius , for simplicity.
r
n
ρ
R=1
In the cross section, the cylinder is shown as an orange disk, the balls are shown as purple disks, and the hollow cylinder is shown as a circle.
The radius of the central cylinder is .
r=(1-sin(π/n))/(1+sin(π/n))
The radius of any purple ball is .
ρ=(1-r)/2