Question

practice weight and balance quiz: question 1 of 55
find the empty weight cg location for the following tricycle - gear aircraft. each main wheel weighs 753 pounds, nosewheel weighs 22 pounds, distance between nosewheel and main wheels is 87.5 inches, nosewheel location is + 9.875 inches from datum, with 1 gallon of hydraulic fluid at - 21.0 inches included in the weight scale.
a + 97.375 inches.
b + 95.61 inches.
c + 96.11 inches.

Explanation:

Step1: Calculate total weight

Total weight \( W = 2\times753+22 + 1\times6.7 = 1506+22 + 6.7=1534.7\) pounds (assuming hydraulic fluid density is \(6.7\) pounds per gallon).

Step2: Calculate moment of nose - wheel

Moment of nose - wheel \(M_{nose}=22\times9.875 = 217.25\)

Step3: Calculate moment of main - wheels

Location of main - wheels \(x_{main}=9.875 + 87.5=97.375\) inches. Moment of main - wheels \(M_{main}=2\times753\times97.375=1506\times97.375 = 146646.75\)

Step4: Calculate moment of hydraulic fluid

Moment of hydraulic fluid \(M_{hydraulic}=6.7\times(- 21)=-140.7\)

Step5: Calculate total moment

Total moment \(M = 217.25+146646.75-140.7=146723.3\)

Step6: Calculate CG location

CG location \(CG=\frac{M}{W}=\frac{146723.3}{1534.7}\approx95.61\) inches

Answer:

B. +95.61 inches.