Maximum range = 3700 km
LD = 10
TSFC = 0.08 kg/N.h
m2 = 10,300 kg
Flight speed = 280 m/s

If the maximum fuel capacity is 4700 kg, what is the maximum value for headwind to reach this destination?

Answer :

Note that the maximum headwind needed to reach the final destination is given as 3.25m /s

How is this so?

Fuel consumption = TSFC x Thrust x flight time

Maximum flight time =

Maximum range / flight speed

= 3700000 / 280

= 13214.29 seconds

Fuel consumption

= 0.08 x 10,300 x 13214.29

= 10928.23 kg

Since the maximum fuel capacity is 4700 kg, the maximum fuel available for the flight would be 4700 kg.

Ground speed = flight speed - headwind

Range = ground speed x maximum flight time

Substituting the given values:

3700000 = (280 - headwind) x 13214.29

Solving for headwind:

280 - headwind = 3700000 / 13214.29

= 280 - (3700000 / 13214.29)

≈ 3.25 m/s

Hence the maximum headwind required to reach the destination is approximately 3.25 m/s.

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