WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Two Wheel Belt

​
x
2.
y
1.
z
1.
A classic trigonometry problem asks for the length of a belt wrapped around two wheels. The radii of the two wheels are
x
and
x+y
. The wheels are
z
units apart.
Let A and C be the two arcs of the belt and let B be one of the two segments joining the ends of the arcs. B is an exterior tangent to both circles. Then the lengths of A, B, and C are
2θx,
2(2x+y+z)sin(θ),
and
2(π-θ)(x+y)
.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.