←
Boss lesson · The Standpipe
Exam-hall rules, one tank
score 0

Exam-hall rules, one tank

This is the boss. No calculator — today g=10 N/kgg = 10\ \mathrm{N/kg}, the round number every engineer keeps for mental work and site sanity checks, and the depths have been chosen so that 2gh2gh is a perfect square and the root comes out whole. One standpipe, one long problem, and every answer feeds the next: the depth becomes a pressure, the depth becomes a jet speed, the jet speed and the outlet become a discharge, and the discharge faces the duty on the schedule. Write each line down as you go — one early slip runs all the way to the bottom.

Note what the last line actually asks for. It does not want another number; it wants a decision, the way a real check does. Pump or no pump. The arithmetic is only there to earn you the right to make it.

Everything in the chapter rides in this one tank: hydrostatic pressure, the pressure–head bridge, Torricelli's trade of height for speed, and Q = Av at the outlet. 5★ under par here is the chapter crown. Clock in.

ρhP

P=ρghP = \rho g h

  • PP= Gauge pressure (pressure)
  • ρ\rho= Fluid density (density)
  • hh= Depth (length)
Hydrostatic Pressure (P = ρgh) solver →
vh

v=2ghv = \sqrt{2 g h}

  • vv= Efflux speed (speed)
  • hh= Head above the opening (length)
Torricelli's Law (v = √(2gh)) solver →
AvQ

Q=AvQ = A v

  • QQ= Volumetric flow rate (volumetric flow rate)
  • AA= Cross-sectional area (area)
  • vv= Flow velocity (speed)
Volumetric Flow Rate (Q = Av) solver →
no calculator in the boss room — the numbers are chosen to fit in your head