Explain the pressure-measuring device at any point in a fluid in short.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) An idealized form of a pressure-measuring device is shown in the figure.
It consists of an evacuated chamber with a spring that is calibrated to measure the force acting on the piston.
This device is placed at a point inside the fluid.
The inward force $\Delta F$ exerted by the fluid on the piston is balanced by the outward spring force and is thereby measured.
The pressure $P$ of the fluid acting on the surface of the piston of area $\Delta A$ is given by $P = \frac{\Delta F}{\Delta A}$.
The piston area can be made arbitrarily small. The pressure is then defined in a limiting sense as $P = \lim_{\Delta A \rightarrow 0} \frac{\Delta F}{\Delta A}$.

Explore More

Similar Questions

Equal masses of water and a liquid of density $2 \ g/cm^3$ are mixed together. The density of the resulting mixture is ........ $g/cm^3$.

Two substances of densities ${\rho _1}$ and ${\rho _2}$ are mixed in equal volumes and the relative density of the mixture is $4$. When they are mixed in equal masses,the relative density of the mixture is $3$. The values of ${\rho _1}$ and ${\rho _2}$ are

$A$ force of $F = 10 \ N$ is exerted on a surface of area $A = 0.1 \ m^{2}$ at an angle of $60^{\circ}$ with the surface. Find the pressure produced on this surface.

An open $U$-tube contains mercury. When $13.6 \,cm$ of water is poured into one of the arms of the tube,then the mercury rise in the other arm from its initial level is ....... $cm$

In the arrangement shown, both the vessels $A$ and $B$ are identical, but the amount of water in $B$ is double that in $A$. The vessels are closed by identical leak-proof pistons at the same height. The pistons are connected to the ends of a lever arm. There is no friction between the pistons and the container walls. The system is in equilibrium in the situation shown. Now, the valve in the horizontal tube connecting both the vessels is opened. In which direction will the water flow through the tube?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo