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# The intake in (Figure) has a cross-sectional area of 0.740 m2. The water flows in at a speed of 0.400 m/s. At the outlet the crosssectional area is smaller than at the intake and the water flows out at 9.50 m/s. The pressure difference between inlet and outlet is 3.00 MPa. What is vertical distance D?

sree lakshmi
73 Points
one year ago

We use Bernoulli's equation
The simplified form of Bernoulli's equation can be summarized in the following memorable word equation: static pressure + dynamic pressure = total pressure. Every point in a steadily flowing fluid, regardless of the fluid speed at that point, has its own unique static pressure p and dynamic pressure q.
ΔP =ρDg+.5 ρ(v2-v1)2
=(1000)(9.8)(180)+(.5)(1000)(9.5-.4)2
=1.7×10^6 Pa