Physics
Pressure and flow
Pressure grows with depth, Pascal transmits it, Bernoulli trades it for speed: manometers, a water tower and Torricelli's jet.
What happens
Drag the probe through three differently shaped vessels: at equal depth it reads equal pressure, stubbornly ignoring the shape - yet the captions confess the paradox: the flaring vessel's bottom carries less than its water weighs, the narrowing one more. In the Venturi pipe the dashes sprint through the throat while the piezometer columns dip by exactly the speed they gained; push the flow and the throat cavitates. Then open the tank: the level slides down the square-root law and the jet lands precisely on its calculated mark. Swap in mercury, or take the whole bench to the Moon.
Equations used in the module
Equations p = p₀+ρgh p+½ρv²+ρgh = const v = √(2gh) A dh/dt = −Σ a_i√(2g max(0,h−h_i))
