Question

1 Pascal is equal to ____________$N{m}^{-2}$.

Answer 1

Hint: Pascal is the S.I. unit of pressure and It is denoted by pa. Pressure can be defined as the force applied perpendicular to the surface of an object per unit area. It can be denoted by P or p. Pressure can be expressed in various units. Pascal is pressure’s S.I. unit.

Complete step by step answer:
When one Newton of force is applied to an area of unit meter square then the pressure exerted is equal to one Pascal.
Therefore, one Pascal is equal to one Newton force applied per unit meter square area.

$\therefore$ $1pa=1N{m}^{-2}$.

Additional information:
- An example of pressure is a knife. When we try to cut something with the help of a flat edge knife, then the force exerted is distributed over a larger surface area thus resulting in less pressure, and as a result, the substance will not cut.
- On the other hand, when we use a sharp-edged knife, which has less surface area, then the result would be that greater pressure would be applied over a lesser area, and as a result, the knife will cut smoothly.
- Some other units in which pressure can be expressed are Newton per square meter$(N{m}^{-2})$ and standard atmospheric pressure (atm).
- Pressure has wide applications in daily use. Some of them are the following.
i) Hydraulic brakes.
ii) measure blood pressure.
iii) Straws for drinking juice etc.

Note:
It should be noted that since the system under pressure has the potential to perform work on its surroundings, hence pressure is a measure of potential energy stored per unit volume. It is therefore related to energy density and can be expressed in units such as joules per cubic meter.