Welcome to AZForumla.com - Website dedicated to provide you the formulae which you might need in your computations. Browse Formulas

What is the Dimensional Formula of Strain?

Strain is defined as change in dimension over original dimension. Now we know dimension has the units of L thus this means it has no dimensional formula and has no units.

Strain= Change in dimension/Original dimension
Thus
Dimensional Formula of Strain= (M0L1T0)/(M0L1T0)

Dimensional Formula of Strain= M0L0T0

Now we know dimension has the units of L thus same units cancel each other leaving numeric value only. So Strain has no SI unit.

Filed under Dimensional Formulae | Comments Off on What is the Dimensional Formula of Strain?

What is the Dimensional Formula of Force Constant?

Force Constant is defined as force per unit displacement. The formula is

Force Constant= Force/Displacement
Dimensional Formula of Force = M1L1T-2
Dimensional Formula of Displacement = M0L1T0

So Dimensional Formula of Force Constant = M1L0T-2
SI unit of Force Constant is Nm-1

What is the Dimensional Formula of Surface Tension?

Surface Tension is defined as force per unit length. The formula is

Surface Tension= Force/Length
Dimensional Formula of Force = M1L1T-2
Divide it by Length L1

So Dimensional Formula of Surface Tension = M1L0T-2
SI unit of Surface Tension is Nm-1

What is the Dimensional Formula of Power?

Power is defined as work done per unit time. Its formula is

Power= Work/Time
Dimensional Formula of Work= M1L2T-2 Divide it by Time T1

So Dimensional Formula of Power= M1L2T-3
SI unit of Power is Watt represented by W

What is the Dimensional Formula of Work?

Work is defined as force multiplied by displacement .Mathematically its formula is

Work= Force x Displacement

Now, we have already derived the dimensional formula for force and displacement. So
Dimensional Formula of Force= M1L1T-2
Dimensional Formula of Displacement = M0L1T0

Thus
Dimensional Formula of Work= (M1L1T-2) x M0L1T0

Dimensional Formula of Work= M1L2T-2
SI units of Work is Joule represented by J

It should be noted that energy of all types ( Surface Tension, Kinetic, Potential etc) have the same dimensional formula as that of Work. Moreover the Moment of Force represented by N-m also have same Dimensional formula