what is the minimum gauge pressure needed in the water pipe leading to a building if the water is to come out of a faucet on the 12th floor, 41m. above the pipe.
To determine the minimum gauge pressure needed in the water pipe leading to a building, we need to consider the height difference between the faucet on the 12th floor and the water pipe.
The minimum gauge pressure required at the faucet can be found using the concept of hydrostatic pressure. The hydrostatic pressure is given by the equation:
P = ρ * g * h
Where:
P is the gauge pressure
ρ is the density of water (approximately 1000 kg/m³)
g is the acceleration due to gravity (approximately 9.8 m/s²)
h is the height difference between the faucet and the pipe (41 m in this case).
Plugging in the values:
P = 1000 kg/m³ * 9.8 m/s² * 41 m
Using a calculator, we can calculate the product of 1000, 9.8, and 41 to find the minimum gauge pressure P required at the faucet.