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Pressure Converter

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What is the definition of pressure?

In simple words, the meaning of the word pressure can be said to be the force which is applied in a perpendicular direction to that of the surface of a certain object that too per unit area over which the same force has been distributed. Moreover, pressure is represented by the symbol, p or P. on the other hand, the gauge pressure turns out to be a pressure which is relative to ambient pressure. Finally, a number of units are put in to use in order to express pressure.

Pressure Converter

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Formulae used to convert pressure

  1. The mathematical formula which is generally used in pressure conversion has been listed below –

\(P=\frac{F}{A}\)

In the above equation, p happens to be the pressure whereas F is stated to be the normal force & A represents the area of the surface on contact.

  1. In addition to this, as pressure is a scalar quantity, the equation that has been mentioned below is also taken in to consideration –

\(dF_n= -pdA= -pndA\)

  1. When the pressure is to be represented in the form of units & especially in the form of joules per cubic metre (J / m3, which is equal to Pa), pressure is mathematically defined in the following manner –

\(p\,= \,\frac{F \times distance}{A \times distance}\,=\,\frac{Work}{Volume}\,=\, \,\frac {Energy(J)}{Volume (m^3 ) }\)

  1. In addition to this, the equation for all the points of the system that is filled by that of a constant – density fluid happens to be as follows –

\(\frac{p}{\gamma} \, + \, \frac {\nu^2}{2g}+z=const\)

In the above equation,p is the pressure of the fluid while \(\gamma=pg\)  happens to be the density multiplied by acceleration of the gravity = specific weight of the fluid. \(v \)= velocity of fluid &\(g\)  is the acceleration of the gravity, \(z\) is the elevation. On the other hand,\(\frac {p}{\gamma}\)  is nothing but the pressure head & the velocity head is represented by the following term – -\(\frac{v^2}{2b}.\)

  1. Static pressure & the stagnation pressure are related by the following equation –

\(p_0= \frac{1}{2}\rho\nu^2+p\)

In the above equation, \rho_0 happens to be the stagnation pressure & it is followed by  which is the flow velocity whereas the static pressure is denoted by p .

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  1. Boyle’s law

\(\pi A = k\)

  1. Surface pressure

\(\pi =\frac{F}{l}\)

  1. Pressure of an ideal gas

\(p=\frac{nRT}{V}\)

Here, p = absolute pressure of gas, n = amount of substance, T = absolute temperature, R = ideal gas constant & V = volume.

  1. Liquid pressure

\(p=\rho g h\)

Here,p  = liquid pressure,  \rho= density of the liquid,g  = gravity at surface of overlaying material & h = height of liquid column or even the depth within the substance

This formula can also be written in the following manner –

\(p\,=\, weight\, density \,\times \,depth\)

  1. Bernoulli’s equation

\(\frac{p}{\gamma}+z=const\)

  1. Kinematic pressure

\( P\,=\, \frac{p}{\rho_0}\)

  1. Navier – Stokes equation with kinematic quantities

\( \frac{\partial u}{\partial t} + (u\bigtriangledown)u= – \bigtriangledown P\,+\,v\bigtriangledown^2 u\)

 

How to use a pressure converter?

To make use of this online pressure converter, you will have to first enter the details & select the unit before you click on the calculate tab to know the answer.