dimensional analysis

The method of dimensional analysis is very powerful in solving physics problems. Dimensions can be treated as algebraic quantities. By making estimates and performing order-of-magnitude calculations, you should be able to approximate the answer to a problem when there is not enough information available to specify an exact solution completely. In many situations, you may have to check a specific equation to see if it matches your expectations. Dimensional analysis can be used because dimensions can be treated as algebraic quantities. Example: `x = 1/2at^2` dimensional analysis: `x=>L` `1/2` is a constant without a unit `a => L/T^2` `t => T` The dimensional form of the equation is: `L = L/T^2 T^2 = L`