GATE ME 2021 Set 1 — Question 26
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Balancing of Reciprocating Masses
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Question
Consider a reciprocating engine with crank radius and connecting rod of length . The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of
Correct answer
(C) radius (R²)/(4L) rotating at twice the engine speed
Solution
The secondary unbalance force in a reciprocating engine is given by:where . Substituting :A virtual crank of radius rotating at twice the engine speed () produces a primary unbalance force:Equating the two forces:The speed is , which is twice the engine speed.
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