Dimensional formula of pressure?
Dimensional formula of pressure?
Definition of Pressure
Pressure is defined as the force exerted per unit area. It is a scalar quantity and is expressed in units of pascal (Pa).
Dimensional Formula of Pressure
The dimensional formula of pressure is [M L^-1 T^-2], which means that pressure is directly proportional to the force applied and inversely proportional to the area over which the force is applied.
Explanation
To understand the dimensional formula of pressure, let's break it down into its fundamental dimensions:
- [M] stands for mass, which represents the amount of matter in an object.
- [L^-1] stands for length raised to the power of negative one, which represents the inverse of distance. This dimension is used to express area, which is the amount of space enclosed by a two-dimensional shape.
- [T^-2] stands for time raised to the power of negative two, which represents the inverse of time squared. This dimension is used to express acceleration, which is the rate of change of velocity over time.
When we combine these dimensions, we get [M L^-1 T^-2], which represents the dimensional formula of pressure. This formula shows that pressure is directly proportional to the force applied (which has the dimension [M L T^-2]) and inversely proportional to the area over which the force is applied (which has the dimension [L^2]).
Conclusion
In summary, the dimensional formula of pressure is [M L^-1 T^-2], which represents the relationship between force, area, and time. Understanding the dimensional formula of pressure can help us better understand the physical properties of pressure and how it relates to other quantities in physics.