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An aircraft with crew and payload of 180kg is flying. If fuel weight fraction is 0.353 and empty weight fraction 0.481 then, what will be the gross weight of aircraft?

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An aircraft with crew and payload of 180kg is flying. If fuel weight fraction is 0.353 and empty weight fraction 0.481 then, what will be the gross weight of aircraft?

(a) 2391kg

(b) 2391lb

(c) 1000kg

(d) 1000lb

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This key question is from Conceptual Sketch Sizing in portion Conceptual Sketch Sizing of Aircraft Design

1 Answer

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Correct choice is (b) 2391lb

Easiest explanation: Given crew and payload = 180kg,

Fuel weight fraction Wf / W0 = 0.353, empty weight fraction We / W0 = 0.481

Gross weight of aircraft is,

W0 = Wcrew + Wpayload + Wfuel + Wempty

By re-arranging,

W0 = Wcrew + Wpayload / [1 – (Wf / W0) – (We / W0)]

= 180 / [1-0.353-0.481] = 1084.33 kg = 2390.96lb

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