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at what rate (pa m-1) does the pressure need to change in a vertical pipe filled

ID: 1485720 • Letter: A

Question

at what rate (pa m-1) does the pressure need to change in a vertical pipe filled with water to keep the velocity of the water flowing through it constant? at what rate (pa m-1) does the pressure need to change in a vertical pipe filled with water to keep the velocity of the water flowing through it constant? at what rate (pa m-1) does the pressure need to change in a vertical pipe filled with water to keep the velocity of the water flowing through it constant? at what rate (pa m-1) does the pressure need to change in a vertical pipe filled with water to keep the velocity of the water flowing through it constant?

Explanation / Answer

use Bernoulli's principle:

P1 + 0.5*rho*V1^2 +rho*g*h1= P2 + 0.5*rho*V2^2 + rho*g*h2
Here V1=V2 = costant
P1 + rho*g*h1= P2 + rho*g*h2
(P1-P2) = rho*g*(h2-h2)
(P1-P2)/ (h1-h2) = -rho*g
(P1-P2)/ (h1-h2) = - 1000 Kg/m^3 * 9.8 m/s^2 = -9800 Pa/s
Answer: -9800 Pa/s