Force from a Change in Flow Velocity

Mediummomentumfluid forces
Steady water flow of 0.10 m3/s changes average velocity from 2 to 5 m/s in the same direction. What is the magnitude of the net external force on the water in that direction? Use ρ = 1,000 kg/m3 and uniform velocity profiles.
  1. A30 N
  2. B100 N
  3. C300 N
  4. D700 N
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Answer: C. 300 N

The linear momentum equation gives Fnet = ρQ(Vout − Vin) = (1,000)(0.10)(5 − 2) = 300 N. This is the net force on the fluid, including all external force contributions.
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