Engineering Board Exam Reviewer · Fluid Mechanics · hard

A tank with a cross-sectional area of 4 m2 discharges through a 50 mm orifice (Cd = 0.6) at its bottom. How long will it take for the water level to drop from 4 m to 1 m?

  1. 12.78 min
  2. 25.55 min
  3. 51.10 min
  4. 19.16 min

Answer

B. 25.55 min

Solution

t = 2At(sqrt(h)1 - sqrt(h)2)/(Cd Ao sqrt(2g)) = 2(4)(2 - 1)/[0.6(0.001963)(4.429)] = 1533 s = 25.55 min.

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