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# What are the dimensional formula for work or energy?

## What are the dimensional formula for work or energy?

Work transfers energy from one place to another, or one form to another. The SI unit of work is the joule (J), the same unit as for energy….Work (physics)

Work
In SI base units 1 kg⋅m2⋅s−2
Derivations from other quantities W = F ⋅ s W = τ θ
Dimension M L2 T−2

What is the unit and dimensional formula of work?

Units and dimensions

Quantity Dimension Formula
work [M L2 T-2] N·m
power [M L2 T-3] J s-1
viscosity, dynamic [M L-1 T-1] Pa·s
viscosity, kinematic [L2 T-1] m2 s-1

What is D dimension of work?

Work = Force × Displacement. Or, W = [M1 L1 T-2] × [M0 L1 T0] = [M1 L2 T-2]. Therefore, work is dimensionally represented as [M1 L2 T-2].

### What is the dimensional formula of work and torque?

Dimensional Formula:

Physical quantity Unit Dimensional formula
Torque or moment of force (force × distance) Nm ML 2T –2
Universal gas constant (work/temperature) Jmol –1θ –1 ML 2T –2θ –1
Universal gravitational constant (F=G.m1m2d2) m 1 m 2 d 2 ) Nm 2kg –2 M –1L 3T –2
Velocity (displacement/time) ms –1 LT –1

What are the three formula for work?

Those three quantities are force, displacement and the angle between the force and the displacement. The work is subsequently calculated as force•displacement•cosine(theta) where theta is the angle between the force and the displacement vectors.

What is the dimension of force and work?

Dimensional formula for force is [M1L1T – 2] and dimensional formula for distance is [M0L1T0]. Thus, dimensional formula for work is [M1L2T – 2]. SI unit of work is kg m2 s−2. Dimensional formula for force is [M1L1T – 2] and dimensional formula for time is [M0L0T1].

## What is dimensional formula?

Dimensional formula (equation) (Definition) : An equation, which gives the relation between fundamental units and derived units in terms of dimensions is called dimensional formula (equation). In mechanics the length, mass and time are taken as three base dimensions and are represented by letters L, M, T respectively.

What are the units of work?

As you might expect from this equation, units of work are equal to a force unit times a distance unit. In the metric system of units, where force is measured in newtons (abbreviated N), work is measured in newton-meters (N-m). For reference, a newton is roughly equal to the force exerted on your hand by a baseball.

How do you calculate work?

Work can be calculated with the equation: Work = Force × Distance. The SI unit for work is the joule (J), or Newton • meter (N • m). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m.

### How do you calculate work done example?

1. Ans: Here, force and displacement happens in the same direction.
2. So, using the formula for work done, we get:
3. W = F * d = 12 × 12 = 144 J.

How do you derive the formula for work?

Work

1. Transfer of Energy. When we do work we transfer energy from one object to another. Also, work links with expansion and contraction of gases.
2. Formula for Work. Work = Force × Distance × Cosine (refers to the angle between movement direction and force) W = F × d × cosθ
3. Derivation of Work Formula. W = work done.

What is the dimension of π?

The pi we call pi is the one for 2-dimensions, say pi(2). This is curcumference/diameter. For 3 dimensions, pi(3), the extension that seems the most natural to me is (outer surface area of a sphere)/(area of circle of same diameter).

## How to get dimensional formula of work done?

We can get the dimensional formula of work done basing on the formula of work done and that is product of force and displacement in terms of magnitude. We can also write it SI unit as joule and it can be even represented as J. We can measure work done in CGS system with a unit called earg.

Which is the dimension of the work function?

Since work function is defined as the minimum energy required to remove the electron from an atom. Therefore it is given by Where h = 6.625 × 10 − 34 J s is a plank’s constant which is having the unit joules-second. Therefore its dimensions are [ M L 2 T − 1]

What are dimensional formulas for different physical quantities?

The following table shows dimensional formulas for different physical quantities: A dimensional equation is an equation that relates fundamental units and derived units in terms of dimensions.

### When do you use dimensional formula and exponents?

If Q is the unit of a derived quantity represented by Q = M a L b T c, then M a L b T c is called dimensional formula and the exponents a, b and, c are called the dimensions. What are Dimensional Constants?