Calculating Gauge Pressure in a Two-Story House

In summary, gauge pressure is the pressure measured by a gauge relative to atmospheric pressure. It differs from absolute pressure, which is measured relative to a perfect vacuum, and is typically measured in units such as psi or kPa using a pressure gauge or manometer. Gauge pressure is important in science for understanding physical phenomena and is used in various practical applications.
  • #1
wallace13
31
0
The main water line enters a house on the first floor. The line has a gauge pressure of 2.00 x10^5 Pa.
(a) A faucet on the second floor, 7.0 m above the first floor, is turned off. What is the gauge pressure at this faucet?




P2= P1 + (density x g x h)



(2 x 10^5)= P1 + (1000 x 9.81 x 7)

P1= 131330 Pa
 
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  • #2
Looks OK.
 
  • #3
Ah, I see the error. Why is the pipe entering the house on the first floor? We all know pipes enter through the basement. Therefore, the height should be negative.
 

What is gauge pressure?

Gauge pressure is the pressure measured by a gauge relative to atmospheric pressure. It is the difference between the absolute pressure (total pressure) and the atmospheric pressure.

How is gauge pressure different from absolute pressure?

Gauge pressure and absolute pressure differ in that gauge pressure is measured relative to atmospheric pressure, while absolute pressure is measured relative to a perfect vacuum. This means that gauge pressure will always have a positive value, while absolute pressure can be negative.

What is the unit of measurement for gauge pressure?

The unit of measurement for gauge pressure is typically either pounds per square inch (psi) or kilopascals (kPa). Other units such as bar, atmospheres, and millimeters of mercury (mmHg) may also be used depending on the specific application.

How is gauge pressure measured?

Gauge pressure is typically measured using a pressure gauge or manometer, which contains a sensing element that converts the pressure into a physical or electrical signal. The gauge is calibrated to read zero at atmospheric pressure, allowing for the measurement of gauge pressure.

Why is gauge pressure important in science?

Gauge pressure is important in science because it allows for the measurement of pressure differences, which are essential for understanding many physical phenomena such as fluid flow, weather patterns, and gas behavior. It is also used in many practical applications such as tire pressure, blood pressure, and barometric pressure measurements.

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