The picture below shows a pipe of cross sectional area A1 with a venture constriction of area A2. A pressure gauge senses pressure differences...

The picture below shows a pipe of cross sectional area A1 with a venture constriction of area A2. A pressure gauge senses pressure differences between the venture and the unconstructed pipe. The pipe carries an incompressible fluid of density  Find an expression for the flow speed in the unconstricted pipe as a function of the pressure difference ΔP