What is Dimensional Formula of moment of force?

The moment of force is defined as the tendency to produce rotation of object on its axis.

Mathematically,

Moment of force=Force x Distance

Dimensional Formula of Force= M1L1T-2
Dimensional Formula of Distance = M0L1T0

Putting these values in the given equation we get,

Dimensional Formula of moment of force = M1L2T-2
Si unit of moment of force is Newton metre (N m)

What is Dimensional Formula of Pressure Gradient?

Pressure Gradient is defined as the change in pressure per unit distance. In other words pressure change over a unit distance is known as Pressure Gradient.

Mathematically,
Pressure Gradient = Pressure / Distance.

Dimensional Formula of Pressure = M1L-1T-2
Dimensional Formula of Distance= M0L1T0

Substituting the values in the given equation we get,

Dimensional Formula of Pressure Gradient = M1L-2T-2
SI unit of Pressure Gradient is Nm-3

What is Dimensional Formula of Pressure Energy?

Pressure Energy can be defined as the energy possessed by a fluid by virtue of its pressure. In simpler words the energy acquired by a fluid by applying pressure on the fluid is known as Pressure Energy.

Mathematically,
Pressure Energy = Pressure X volume.

Dimensional Formula of Pressure = M1L-1T-2
Dimensional Formula of Volume= M0 L3 T0

Substituting the values in the given equation we get,

Dimensional Formula of Pressure Energy = M1 L2 T-2
SI unit of Pressure Energy is Joule (J).

What is Dimensional Formula of Rotational Kinetic Energy?

Rotational Kinetic Energy can be defined as the kinetic energy associated with rotational motion of an object.  kinetic energy = 1/2 (mv2)  we all know that every particle in an object has same angular speed ω, and tangential speed depends on the distance r from the axis of rotation. Total kinetic Energy of rotating object is the sum of kinetic energy of all individual particles of an object.

so Rotational kinetic energy (KR) = 1/2 (mv2) = 1/2  (m r2 ω2) = 1/2 ( m r2) ω2.

We can also write it as KR = 1/2 Iω2.——- (Moment of Inertia (I)= ∑ m r2 ).

Rotational kinetic energy (KR) = 1/2 Iω2

Mathematically.

Rotational kinetic energy (KR) = 1/2 (Moment of Inertia x (Angular velocity)2)

Now we know,

Dimensional Formula of Moment of Inertia= M1L2T0
Dimensional Formula of Angular Velocity = M0L0T-1

Putting these values in above equation we get

So Dimensional Formula of Rotational kinetic energy = M1L2T-2
SI unit of Rotational kinetic energy is Joule (J).

What is Dimensional Formula of Surface Potential?

Surface Potential  is defined as work done per unit mass.

Mathematically,
Surface Potential = Work / Mass

Dimensional Formula of Work= M1L2T-2
Dimensional Formula of Mass= M1L0T0

Putting this value in the above equation we get,

Dimensional Formula of Surface Potential= M0L2T-2
SI unit of Surface Potential is m2s-2.

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