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Consider a reciprocating engine with crank radius $\text{R}$ and connecting rod of length $\text{L}$. The secondary unbalance force for this case is equivalent to primary unbalance force due to a virtual crank of _______________

  1. radius $\frac{L^{2}}{4R}$ rotating at half the engine speed
  2. radius $\frac{R}{4}$ rotating at half the engine speed
  3. radius $\frac{R^{2}}{4L}$ rotating at twice the engine speed
  4. radius $\frac{L}{2}$ rotating at twice the engine speed

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