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Rev. Notes > AS > Physical quantities and units
 
 
Previous Topic Physical quantities and units Next Topic

Topics
 

Physics

Areas of Physics

Interdisciplanary areas of physics

Quantities in Physics

Base Units

Convention for indicating units

Derived Units

S.I. Units (International System of Units)

Supplementary units

Homogeneity of equations

Significant figures

Rules of Significant figures

Further discussion on Significant figures

Dimensions

Scientific notation

The Avogadro's Constant

Scalars and Vectors

Addition and subtraction of co-planar vectors

Rectangular components of a vector

 

Dimensions

Each base quantity is considered a dimension denoted by a specific symbol written within square brackets. It stands for the qualitative nature of the physical quantity. For example, different quantities such as length, breadth, diameter, light year which are measured in metre denote the same dimension and have the dimension of length [L]. Similarly the mass and time dimensions are denoted by [M] and [T], respectively. Other quantities that we measure have dimension which are combinations of these dimensions. For example, speed is measured in meters per second. This will obviously have the dimensions of length divided by time. Hence we can write.

Dimensions of speed = Dimension of distance / Dimension of time

Dimensions of speed = [L] / [T]

[V] = = [L] [Tˉ¹] = [LTˉ¹]
Similarly the dimensions of acceleration are
                                                [a] = [L] [Tˉ²] = [LTˉ²]
And that of force are
                        [F] = [m] [a] = [M] [LTˉ²] = [MLTˉ²]
Using the method of dimensions called the dimensional analysis; we can check the correctness of a given formula or an equation and can also derive it. Dimensional analysis makes use of the fact that expression of the dimensions can be manipulated as algebraic quantities.

 
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  11/07/15 09:09 AM
   
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