How Does Adding a Steamer Trunk Affect the Plane's Center of Gravity?

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SUMMARY

The addition of a 300-pound steamer trunk to a partially loaded plane weighing 115,000 pounds shifts the center of gravity by approximately 0.65 inches toward the rear. This calculation utilizes the formula W2 = W x (L1 / L), where W represents the total weight and L denotes the distance from the center of gravity. The final result indicates that the center of gravity adjustment is significant enough to warrant consideration in aircraft loading and balance calculations.

PREREQUISITES
  • Understanding of basic physics principles related to weight and balance
  • Familiarity with center of gravity calculations in aviation
  • Knowledge of the formula W2 = W x (L1 / L)
  • Basic arithmetic skills for handling decimal calculations
NEXT STEPS
  • Research advanced center of gravity calculations in aviation
  • Learn about the impact of weight distribution on aircraft performance
  • Study the effects of cargo placement on flight stability
  • Explore software tools for calculating aircraft weight and balance
USEFUL FOR

Aviation students, aircraft load planners, and anyone involved in aircraft operations and safety will benefit from this discussion.

mathguy2
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Homework Statement


A partially loaded plane weighs 115,000 pounds. A famous actor's steamer trunk, weighing 300 pounds, is put into the rear cargo hold 250 inches behind the center of gravity. How much does this extra hold shift the center of gravity.

Homework Equations


W1 = W x (L2 / L)

W2 = W x (L1 / L)

W = 115300
W1 = 115000
W2 = 300
L = 250

The Attempt at a Solution


I did this:
W2 = W x (L1 / L)
so...
300 = 115300 x (L1 / 250)
so...
300 = 461.2L1
divide both sides by 461.2

L1 = .6504770165

The center of gravity of the plane shifts .6504770165 inches toward the rear. Your input is encouraged.
 
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Looks good, but get rid of some of those figures after the decimal point, maybe just say 0.65 inches
 
Thank you for the input. Would you mind taking a look at the more advanced center of gravity problem I posted. It's really frustrating me at the moment.
 

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