Theory of Machine
When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

ω² r {(n + 1)/n}
ω² r {n/(n - 1)}
ω² r {(n - 1)/n}
ω² r {n/(n + 1)}

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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)

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

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