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Dimensional Formula of Work. The dimensional formula of Work is given by, M 1 L-2 T-2. Where, M = Mass; L = Length; T = Time
Dimensional Formula of Work: The dimensional formula is a way to express the units of a physical quantity in terms of the basic dimensions of mass (M), length (L), and time (T). For work, this formula is crucial because it helps us understand how work relates to these fundamental units.
Evaluate the work done for various forces. In physics, work is done on an object when energy is transferred to the object. In other words, work is done when a force acts on something that undergoes a displacement from one position to another.
In this article, we’ll talk about the Dimensional Formula of Work. Here, we will look at the dimension of work and how to find the work dimensional formula. When a force displaces an object, work is said to be done in science.
In physics, work represents a type of energy. Work is done when a force acts on something that undergoes a displacement from one position to another. Forces can vary as a function of position, and displacements can be along various paths between two points.
The work done by a force, →F, on an object over a displacement, →d, is defined to be: W = →F ⋅ →d = Fdcosθ = Fxdx + Fydy + Fzdz. where θ is the angle between the vectors when they are placed tail to tail, as in Figure 7.1.1. The dimension of work, force times displacement, is also called "energy''.
Determine whether an equation involving physical quantities is dimensionally consistent. The dimension of any physical quantity expresses its dependence on the base quantities as a product of symbols (or powers of symbols) representing the base quantities.
Explore the dimensional formula of work, its derivation, and related concepts. Understand the dimensions of work in terms of mass, length, and time. Also, find links to related dimensional formulas, and video lessons on work, power, and energy.
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.
By Anupam M. Last updated on December 28th, 2021 at 02:12 pm. Here, we will find out the dimensional formula of Work. The formula of Work = force x displacement. The dimensional formula of force = [MLT –2] [see here how to find the dimensional formula of force ] The dimension of displacement = [L] Hence, the Dimensional formula of Work = The ...