Dimensional Analysis Notes

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Every measurement has two parts: Numerical Value and Unit.

We describe a quantity that has units of length as having the dimension of length [L]. SImilarly for time [T], mass [M] and four others.

In any expression, we demand Dimensional Consistency;

a + b = . . . dimensions of a and b must agree

a x b = c dimensions of c must be the dimensions of a x dimensions of b

sin(a) 'a' must be dimensionless.

We can compare the dimensions of equations to find an expression for a measurement.