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Classical Mechanics

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Moderate

Bernoulli Equation: Pressure in a Pipe with Changing Height

CLMECH-NFPXK7

A pipe carrying fresh water ($\rho = 1000\:kg/m^3$) to the second floor of a house has a constant diameter and steady-state fluid flow. The pipe rises a distance of $3.2\:m$ from the first floor to the second floor.

What is the pressure difference, $P_1 - P_2$ in Pascals, between the water in the pipe at the ground floor and the water in the pipe at the second floor?