On the suction side of a pump, a Bourdon pressure gage reads \(40 \mathrm{kPa}\) vacuum. What is the corresponding absolute pressure if the ocal atmospheric pressure is \(100 \mathrm{kPa}(\mathrm{abs}) ?\)

Short Answer

Expert verified
The corresponding absolute pressure is \(60 \mathrm{kPa (\mathrm{abs})\)

Step by step solution

01

Understanding Pressure Measurements

In fluid mechanics, three types of pressures are generally referred to: absolute, gauge, and vacuum (negative gauge) pressure. Absolute pressure is the sum of gauge pressure and atmospheric pressure. Gauge pressure is the pressure measurement relative to the atmospheric pressure. Vacuum pressure is essentially a negative gauge pressure, indicating a pressure below atmospheric.
02

Convert Vacuum Pressure to Gauge Pressure

To find absolute pressure, vacuum pressure is converted to gauge pressure. As vacuum pressure is shown as a negative gauge pressure, it will be \(-40 \mathrm{kPa}\) gauge.
03

Calculation of Absolute Pressure

Absolute pressure can now be obtained by adding the gauge pressure to the local atmospheric pressure. If the pressure is negative we subtract the value from the atmospheric pressure, hence the absolute pressure will be \(100 \mathrm{kPa} - 40 \mathrm{kPa} = 60 \mathrm{kPa (\mathrm{abs})\)

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