Theory of Machine
In a Hartnell governor, the lift of the sleeve is given by (where r₁ and r₂ = Max. and min. radii of rotation, x = Length of ball arm of the lever, and y = Length of sleeve arm of the lever)

(r₁ + r₂) (y/x)
(r₁ - r₂) (x/y)
(r₁ - r₂) (y/x)
(r₁ + r₂) (x/y)

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Theory of Machine
Sensitiveness of the governor is defined as the ratio of the

Sum of the maximum and minimum equilibrium speeds to the mean speed
Mean speed to the minimum equilibrium speed
Mean speed to the maximum equilibrium speed
Difference of the maximum and minimum equilibrium speeds to the mean speed

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