u01_ps01_sol

# u01_ps01_sol - Solution to U1 by Waitz(Range Equation a...

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Solution to U 1 by Waitz. (Range Equation) a) Assuming steady-level flight and no fuel reserves, estimate the range of a B-777 using the information given in the lecture notes (and/or on Boeing’s web page). How well does this compare to the estimates Boeing publishes on their web page? BASIS FOR COMPARISON: BOEING 777-200/200IGW Max. take-off mass 275,000 kg Typ. operating empty mass 144,000 kg Max. fuel capacity 171,000 liters (137,000 kg kerosine) Cargo volume 160,000 liters Takeoff thrust 760 kN Cruise thrust 160 kN Design range 9600 to 13800 km Passengers 330 Length 63.7m, wingspan = 60.9m L/D 18, η ≈ 0.36 o Cost \$140 million Using: Range = h L η overall l n W initial g D W final You get about 18000km using the ratio of the operating empty mass and the max takeoff mass (1.9). The estimate of 18000km is more than 30% too high, but I did neglect the weight of the passengers and their cargo, food (such as it is), and reserve fuel. When these items are taken into account the estimate is within 10% of the published values.

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u01_ps01_sol - Solution to U1 by Waitz(Range Equation a...

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