A loaded aircraft weighs 5,800 pounds with a moment of 800,000. What would be the CG if not adjusted for useable fuel?

To determine the center of gravity (CG) of the aircraft, you can use the formula:

[

CG = \frac{Moment}{Weight}

]

In this scenario, the weight of the loaded aircraft is 5,800 pounds, and the moment is 800,000. Plugging in these values gives:

[

CG = \frac{800,000 \text{ in-lbs}}{5,800 \text{ lbs}} = 137.93 \text{ inches}

]

When rounding this result to the nearest whole number, it rounds down to 138 inches.

This calculated CG is crucial for flight safety and performance, as it tells pilots and engineers where the weight is concentrated along the aircraft's length, which in turn helps to determine the stability and controllability of the aircraft during flight.

The choice indicating 138.5 inches inaccurately reflects the rounding considerations but is practical for understanding approximations in operational settings. However, the most mathematically accurate interpretation based on the provided data is 137 inches, aligning more closely with the calculations.

Therefore, understanding how to accurately perform these calculations is vital for managing aircraft weight and balance, ensuring safe operation within established parameters.