Physics · Challenge

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Pressure with depthRunning
Piston bench. Tank height at 23.9 m. Pressure at the head 234655.2 Pa, Opening pressure 117720 Pa. Currently pressure at the head is over by 116935.2 Pa.TUNINGOPENING PRESSUREPRESSURE AT THE HEAD23.9 M
t = 0.0s

Pressure at the head

234655.2Pa

Opening pressure

117720Pa

23.9 m

Piston bench. Tank height at 23.9 m. Pressure at the head 234655.2 Pa, Opening pressure 117720 Pa. Currently pressure at the head is over by 116935.2 Pa.

What has to balanceP=ρghP = \rho g h

What is happening

You take control of a rooftop tank feeding a sprinkler system four floors down.

The sprinkler heads are not opening. They need 117 720 Pa, water is 1 000 kg/m³, and the tank sits at the wrong height above the risers.