Accounting for Gear Rotation  
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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. 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.

Equating the arclengths turned by the two gears and accounting for the opposite rotation direction, the angle turned by gear C can be computed from: