ISRO Mechanical & Aerospace 2009 - Question 13

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Both free vortex and forced vortex can be expressed mathematically in terms of tangential velocity V at the corresponding radius r. Choose the correct combination

  • A. Free: V = r $\times$ const, Forced: V $\times$ r = const
  • B. Free: $V² \times r$ = const, Forced: V = r $\times$ const
  • C. Free: V $\times$ r = const, Forced: $V²$ = r $\times$ const
  • D. Free: V $\times$ r = const, Forced: V = r $\times$ const

Answer: D. Free: V $\times$ r = const, Forced: V = r $\times$ const

Explanation: Free vortex: Angular momentum is constant ($vr = C$). Forced vortex: Rigid body rotation ($v = r\omega \rightarrow v = r \times C$).

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