Question

Given: Total weight 4,137 lb, CG location station 67.8, fuel consumption 13.7 gph, fuel CG station 68.0. After 1 hour 30 minutes of flight time, the CG would be located at station...

a) 67.9
b) 68.1
c) 68.0
d) 67.7

Answer 1

The new center of gravity (CG) location would be at station 67.8 after 1 hour 30 minutes of flight time.

Step-by-step explanation:

To find the new center of gravity (CG) location after 1 hour 30 minutes of flight time, we need to calculate the change in CG caused by fuel consumption. The weight of fuel consumed can be calculated by multiplying the fuel consumption rate (13.7 gph) by the flight time (1.5 hours). This gives us 20.55 gallons of fuel consumed. Since the fuel CG station is located at station 68.0, the change in CG location is -0.2 stations (from 68.0 to 67.8). Therefore, the new CG would be located at station 67.8 after 1 hour 30 minutes of flight time.

Answer 2

To find the CG location after 1 hour 30 minutes of flight time, calculate the change in fuel weight and CG, and subtract it from the initial CG location. After performing the calculations, the CG would be located at station 67.9.

Step-by-step explanation:

To determine the location of the CG after 1 hour 30 minutes of flight time, we need to calculate the change in fuel weight and the change in fuel CG. The change in fuel weight is equal to the fuel consumption rate multiplied by the flight time: 13.7 gph * 1.5 hours = 20.55 gallons. The change in fuel CG is equal to the fuel consumption rate multiplied by the fuel CG station: 13.7 gph * 68.0 = 932.6.

To find the new CG location, we subtract the change in fuel CG from the initial CG location and divide it by the total weight minus the change in fuel weight: (67.8 * 4137 - 932.6) / (4137 - 20.55) = 67.9.

Therefore, after 1 hour 30 minutes of flight time, the CG would be located at station 67.9.