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A KC-135 weighing 150,000 lb has a takeoff roll of 3600 ft at sea-level density altitude. Answer the following questions:

a) If the aircraft is loaded with 100,000 lb of fuel and all other conditions remain the same as for the first takeoff, what is its new takeoff roll?

b) If its next takeoff is made at 150,000 lb gross weight and a density altitude of 8000 ft, assuming all other factors remain the same as for the first takeoff, what is its takeoff distance?

Answer :

a) To calculate the new takeoff roll with 100,000 lb of fuel, we can use the concept of weight-to-thrust ratio. The weight-to-thrust ratio is the ratio of the aircraft's weight to its engine thrust. Assuming the engine thrust remains constant, the takeoff roll is inversely proportional to the weight.

Takeoff roll (T1) with 150,000 lb weight: 3600 ft

Takeoff roll (T2) with 100,000 lb fuel: ?

Since the weight-to-thrust ratio is inversely proportional to the takeoff roll:

T2 = T1 * (Weight1 / Weight2)

T2 = 3600 ft * (150,000 lb / (150,000 lb - 100,000 lb))

Now, calculate T2.

b) To calculate the takeoff distance at 150,000 lb gross weight and a density altitude of 8000 ft, we can use the concept of density altitude correction. The takeoff distance is affected by the air density, and at higher altitudes, the air density is lower, requiring a longer takeoff distance.

Takeoff roll (T1) at sea-level density altitude: 3600 ft

Takeoff distance (D2) at 150,000 lb and 8000 ft density altitude: ?

Assuming all other factors remain constant, the takeoff distance is proportional to the square root of the density altitude:

D2 = T1 * sqrt(DensityAltitude2 / DensityAltitude1)

D2 = 3600 ft * sqrt(8000 ft / Sea-Level Density Altitude)

Now, calculate D2 using the appropriate units for density altitude.

Please note that the actual calculations require the specific value of the sea-level density altitude and the density altitude at 8000 ft, along with the engine thrust and other relevant factors. The above approach provides a general method to solve the problems.

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