Diagram shows two shafts A B and C D of 35 millimeter diameter and 300 millimeter and 900 millimeter respectively, are connected using two gears, B with 100 millimeter diameter and C with 200 millimeter diameter.  The angular displacement on gear with 100 millimeter diameter is phi subscript B. The angular displacement on gear with 200 millimeter diameter is phi subscript C. A torque T is applied at the end of C D at D. Parameters: d = 35 millimeter, G = 80 gega Pascal, T = 685 Newton meter. Recall that a positive rotation angle rotates in a positive right-hand-rule sense about the +x axis.

The angle of twist in shaft (2) is defined by the rotation angles at its endpoints:

Rearrange this equation to find the rotation angle at D: