Machine Design
The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (D) is given by (where T = Number of teeth on the sprocket)

p = D sin (90°/T)
p = D sin (360°/T)
p = D sin (120°/T)
p = D sin (180°/T)

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Machine Design
The shear stress at a point in a shaft subjected to a torque is

Directly proportional to the applied torque and inversely proportional to the polar moment of inertia
Inversely proportional to the applied torque and the polar moment of inertia
Directly proportional to the polar moment of inertia and to the distance of the point from the axis
Directly proportional to the applied torque and the polar moment of inertia

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