The Weight Change Formula
The weight change formula can be very useful and save you from re-calculating the weight and balance if the load of your airplane changes.
There are four components to the weight shift formula; weight lost/gained, new airplane weight, change in C of G, distance from the original C of G to the location the weight was add or removed.
Our airplane weight is 2450 lbs. We are going to burn 120 lbs of fuel on our trip. Our C of G is 93.0. The fuel is located at station 48.
120 * 45 = 5400
5400 / 2330 = 2.31
X = 2.31
Our landing C of G will move forward 2.31 inches. You can also use this formula for adding and subtracting passengers or cargo.