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The dimensional formula of a physical quantity is an expression that tells us how and which of the fundamental quantities enter into the unit of the quantity. In mechanics the dimensional formula is written in terms of the dimensions of mass, length and time (M.L. and T).
Dimensions for a Rectangle Write down the area equation: A = L × W where “A” stands for the area, “L” stands for the length and “W” stands for the width of a rectangle. Solve the area equation: 30 = L × 6. Divide both sides of the equation by 6, and write down the answer. It will look like this: 5 = L.
Summary: The dimensions of a rectangle are length and width. Given the length and width of a rectangle, we can find the area. Given the area and one dimension of a rectangle, we can find the other dimension.
To find the width of a rectangle, use the formula: area = length × width. Just plug the area and length of the rectangle into the formula and solve for the width. If you don't have the area, you can use the rectangle's perimeter instead. In that case, you would use the formula: perimeter = 2 A length plus 2 A width.
Ten dimensions are used to describe super string theory, eleven dimensions can describe super gravity and M-theory, and the state-space of quantum mechanics is an infinite-dimensional function space. The concept of dimension is not restricted to physical objects.
Dimensional Equations. The equations obtained when we equal a physical quantity with its dimensional formulae are called Dimensional Equations. The dimensional equation helps in expressing physical quantities in terms of the base or fundamental quantities.
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.
The dimensional equations have got following three uses: To check the correctness of a physical equation. To derive the relation between different physical quantities involved in a physical phenomenon. To change from one system of units to another.
It is a dimensions less quantity because. Strain = (change in dimensions) /(original dimensions) Suppose we consider the for the length so the strain = (change in length) /(original length) Strain =meter /meter.
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