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

ω²r. (n + 1)/n
ω²r. n/(n + 1)
ω²r. (n - 1)/n
ω²r. n/(n - 1)

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Unbalanced couples are caused only at higher speeds
Effects of unbalances are directly proportional to the speed
Unbalanced forces are not dangerous at higher speeds
Effects of unbalances are proportional to the square of the speed

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