Question

A force of $15N$ acts on an area of $50c{{m}^{2}}$. What is the pressure in Pascal?

Answer 1

In order to solve this problem One needs to have a knowledge of unit conversion and be able to convert from one system of units to the other system. We need to have a knowledge of some unit’s names like Pascal which is named in the honor of the respective scientist and can be able to expand the terms.

Formula used:
We know that the formula for pressure is
$P=\dfrac{F}{A}$
Where $P=\text{pressure}$
$F=\text{force}$
$A=area$

Complete step by step answer:
We are having the given data as below
Force $F=15N$
Area given is $A=50c{{m}^{2}}$
Given are is in C.G.S units and force is in M.K.S units
We need to convert them so that finally both of them should be in the same system of units.
We need to find the pressure in Pascal so we need to convert both the terms i.e., force and are in M.K.S system
Therefore Force $F=15N$
Area given is $A=50c{{m}^{2}}=50{{\left( {{10}^{-2}} \right)}^{2}}=0.005{{m}^{2}}$
Now we are having both the terms in M.K.S system
We know that the formula for pressure is
$P=\dfrac{F}{A}$
Where $P=\text{pressure}$
$F=\text{force}$
$A=area$
Now substitute the above given values in this formula and calculate the pressure
$\Rightarrow P=\dfrac{15N}{0.005{{m}^{2}}}$
$\Rightarrow P=3000\dfrac{N}{{{m}^{2}}}$
$\Rightarrow P=3000Pa$
Therefore, required the value of the pressure in Pascal is $P=3000Pa$

Note:
One can note that as we did in the above problem i.e., $\dfrac{N}{m{}^{2}}$ is also called as Pascal i.e., the whole term is called as Pascal, commonly used as a unit of pressure which is in M.K.S system of units.