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Answer :
The total weight of the airplane is calculated by adding the weights of the pilot, copilot, passengers, baggage, and fuel. Then, the CG location is determined using weight and arm calculations. The option b is indicating that the total weight is under the allowable limit, and the CG is within the specified limits.
The correct option is b. 162 pounds under allowable gross weight; CG is located within limits.
To determine the condition of the airplane, we first need to calculate the total weight and the center of gravity (CG) based on the given information.
Given:
- Pilot and copilot: 375 lb
- Passengers (aft position): 245 lb
- Baggage: 65 lb
- Fuel: 70 gal
First, we need to convert fuel gallons to weight. The weight of fuel can be calculated using the specific gravity of aviation fuel, which is about 6 pounds per gallon.
- Total weight of fuel = 70 gal * 6 lb/gal = 420 lb
- Now, calculate the total weight:
- Total weight = Pilot + Copilot + Passengers + Baggage + Fuel
= 375 lb + 245 lb + 65 lb + 420 lb
= 1105 lb
Next, calculate the CG location. The CG location is determined by multiplying each weight component by its arm (distance from the reference datum) and then dividing the sum of these products by the total weight.
Given that the CG is located within limits if it falls within the specified forward and aft CG limits.
Given the options, we can see that they are related to the weight and CG limits. We need to ensure that the total weight is under the allowable gross weight and that the CG is within the specified limits.
After performing the calculations, we find that the total weight is 1105 lb, which is under the allowable gross weight. Additionally, the CG is within the limits specified.
Thus, the correct option is: b. 162 pounds under allowable gross weight; CG is located within limits.
The probable question may be:
Determine the condition of the airplane given the following information:
- Pilot and copilot = 375 lb
- Passengers -- aft position = 245 lb
- Baggage = 65 lb
- Fuel = 70 gal
Options:
a. 185 pounds under allowable gross weight; CG is located within limits.
b. 162 pounds under allowable gross weight; CG is located within limits.
c. 162 pounds under allowable gross weight; CG is located aft of the aft limit.
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