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Express the unsteady angular momentum equation in vector form for a control volume that has a constant moment of inertia I, no external moments applied, one outgoing uniform flow stream of velocity V → , and mass flow rate m . .

Respuesta :

Answer:

Explanation:

  • Recall that the angular momentum equation is given as I∝ = r x F
  • Taking note that the moment of inertia as constant.
  • The velocity of uniform flow is V →
  • The mass flow is m
  • Hence, the angular momentum equation in the control volume is given as I∝ = r x mF
  • where ∝ is the angular acceleration, r is the position vector from the axis of rotation to any point on the line of action of force.

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