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

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

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Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

S₁/S₂ = r₁/r₂
(m.g + S₁)/(m.g + S₂) = r₁/r₂
(m.g - S₁)/(m.g - S₂) = r₂/r₁
S₂/S₁ = r₁/r₂

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