7. what is the maximum angle of climb (steady velocity climb) for a turbojet powered aircraft with an (l/d)max equal to 10.5 and a gross weight of 8000 lb. if it is producing a thrust of 2000 lb.?

Respuesta :

The maximum angle of climb for a turbojet powered aircraft is 8.97°.

Let us consider the velocity is steady.

T is thrust, W is weight, L for lift force, D for drag and θ is angle of climb

From the given information, we can write the below equations,

T = D + W sinθ -----(1)

L = W cosθ -----(2)

Given that, L/D = 10.5

D = L/10.5 -----(3)

Placing (3) in (1), we have

T = L/10.5 + W sinθ

T = (W cosθ)/10.5 + W sinθ

cosθ + 10.5 sinθ = T/W * 10.5

cosθ + 10.5 sinθ = (2000/8000) * 10.5

cosθ + 10.5 sinθ = 2.625

Solving the above equation, we get θ = 8.97°

Thus, the maximum angle of climb is 8.97°.

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