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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?

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?

Grade:7

1 Answers

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
 

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