High School

An aircraft is loaded with a weight of 4,700 pounds and a center of gravity (CG) of 97. The CG limit ranges from 93 to 96. If 80 pounds is moved from the rear baggage compartment (142 inches aft of the datum) to the front compartment (44 inches aft of the datum), what is the new CG?

Answer :

Final answer:

To find the new CG, we can use the given formula. By substituting the given values into the formula, the new CG is approximately 94.77.

Explanation:

To find the new CG, we can use the formula:

New CG = ((Old Weight × Old CG) + (Added Weight × Added CG)) / (Old Weight + Added Weight)

Given:

  • Old Weight = 4,700 pounds
  • Old CG = 97
  • Added Weight = 80 pounds
  • Added CG (Front Compartment) = 44 inches
  • Distance between Old CG and Added CG = 142 - 97 = 45 inches (negative because it is behind the CG)

Substitute these values into the formula:

New CG = ((4,700 × 97) + (80 × 44)) / (4,700 + 80) = 94.77

Therefore, the new CG is approximately 94.77.

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