Question

practice weight and balance quiz: question 3 of 55
when an empty aircraft is weighed, the combined net weight at the main gears is 3,540 pounds with an arm of 195.5 inches. at the nose gear, the net weight is 2,322 pounds with an arm of 83.5 inches. the datum line is forward of the nose of the aircraft. what is the empty cg of the aircraft?
a 151.1.
b 155.2.
c 146.5.

Explanation:

Step1: Calculate the moment for main gears

Moment is calculated as weight multiplied by arm. For main gears, \(M_1 = 3540\times195.5\)

$$M_1=3540\times195.5 = 3540\times(200 - 4.5)=3540\times200-3540\times4.5=708000 - 15930=692070$$

Step2: Calculate the moment for nose gears

For nose gears, \(M_2 = 2322\times83.5\)

$$M_2=2322\times83.5=(2000 + 300+22)\times83.5=2000\times83.5+300\times83.5 + 22\times83.5=167000+25050+1837=193887$$

Step3: Calculate the total weight

Total weight \(W=3540 + 2322=5862\)

Step4: Calculate the empty - CG

Empty - \(CG=\frac{M_1 + M_2}{W}\)

$$Empty - CG=\frac{692070+193887}{5862}=\frac{885957}{5862}=151.1$$

Answer:

A. 151.1