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If a pitot tube is placed in a fluid flow and indicates a stagnation pressure equal to the static pressure, what can be inferred about the fluid velocity at that location?

  • A.The fluid velocity is zero.
  • B.The fluid velocity is at its maximum.
  • C.The reading indicates an error in the pitot tube.
  • D.The fluid velocity is at an average value.

Answer: A

If the stagnation pressure indicated by a pitot tube equals the static pressure, then the dynamic pressure \(\frac{1}{2}\rho v^{2}\) is zero, so the velocity of the fluid is zero at that location. The stagnation pressure is the sum of the static pressure and the dynamic pressure, and the dynamic pressure is zero only when the velocity is zero. A maximum or an average velocity would give a positive dynamic pressure, and equal readings are not an error in the tube.

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