Theory of Machine
The velocity of piston in a reciprocating steam engine is given by (where ω = Angular velocity of crank, r = Radius of crank pin circle, θ = Angle turned by crank from inner dead center, and n = Ratio of length of connecting rod to the radius of crank)

ωr [sin θ + (sin 2θ/n)]
ω²r [sin θ + (sin 2θ/n)]
ωr [cos θ + (cos 2θ/n)]
ω²r [cos θ + (cos 2θ/n)]

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

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

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