Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - sin²θ)1/2
ω cosθ/(n² - sin²θ)1/2
ω sinθ/(n² - cos²θ)1/2
ω cosθ/(n² - cos²θ)1/2

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Theory of Machine
The maximum fluctuation of speed is the

Sum of maximum and minimum speeds
Difference of minimum fluctuation of speed and the mean speed
Difference of the maximum and minimum speeds
Variations of speed above and below the mean resisting torque line

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