Two shafts connected by a Hooke’s joint have an angle of 18 degrees between the axes. Find the angle through which it should be turned to get the velocity ratio equal to 1.

Two shafts connected by a Hooke’s joint have an angle of 18 degrees between the axes. Find the angle through which it should be turned to get the velocity ratio equal to 1. Correct Answer 44.3

Velocity ratio is ω1/ω = cosα/(1 – cos2θsin2α) now this to be 1 we get, cosα = 1 – cos2θsin2α solving this equation we get θ = 44.3 or 135.7 degrees.

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