Write the differential equation for the water depth in terms of the tank dimensions and valve resistance.

The water tank in Figure E-2 is filled by an inflow and is emptied by an outflow . The outflow is controlled by a valve which offers resistance R to the flow of water out of the tank. The water depth in the tank is and the surface area of the water is A, independent of depth (cylindrical tank). The outflow is related to the water depth (head) by
.
The tank is 1.5 m high with a 1m diameter and the valve resistance is .


Psychology

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Psychology