How much baggage needs to be moved to adjust the CG from 94.0 to 92.0 in an airplane loaded at 3,650 pounds?

To determine how much baggage needs to be moved to adjust the center of gravity (CG) from 94.0 inches to 92.0 inches in an airplane loaded at 3,650 pounds, it is essential to understand the relationship between weight, moment, and CG.

Center of gravity can be calculated using the formula:

[ \text{CG} = \frac{ \text{Total Moment}}{\text{Total Weight}} ]

Where moment is the weight multiplied by the distance from the reference point (in this case, the moments are associated with the baggage at its respective CG).

When adjusting the CG, moving weight forward lowers the CG and moving weight backward raises it. To shift the CG from 94.0 to 92.0 inches means we need to move some baggage inward.

To find the amount of baggage that needs to be moved, you can apply the following principles for calculation:

1. Calculate the total moment at the original CG (94.0 inches).

2. Calculate the required moment at the new CG (92.0 inches).

3. Determine the difference in moment that needs to be achieved through moving the baggage.

Using the known weight of 3,650 pounds, you can perform these calculations and find