Define gauge pressure. When is gauge pressure (i) positive (ii) n… - Vidyadip

Question

Define gauge pressure.
When is gauge pressure (i) positive (ii) negative?
Give two examples where gauge pressure is more relevant.

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Answer

Definition: Gauge pressure is the pressure exerted by a fluid relative to the local atmospheric pressure.
Gauge pressure, $p_g=p-p_0$
where $\mathrm{p}$ is the absolute pressure and $\mathrm{p}_0$ is the local atmospheric pressure.
When the pressure inside a closed container or tank is greater than atmospheric pressure, the pressure reading on a pressure gauge is positive. The pressure inside a 'vacuum chamber'-a rigid chamber from which some of the air is pumped out-is less than the atmospheric pressure, so a pressure gauge on the chamber designed to measure negative pressure reads a negative value.
At a depth within a liquid of density $p_{\text {r }}$ the gauge pressure is $p_g=p-p_0=h p g$
Examples: Tyre pressure gauge, blood pressure gauge, pressure gauge on an oxygen or scuba tank.

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