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Correct Answer : Division of mission profile into number of phases and finding individual phase fuel fraction
Explanation : The fuel fraction method is mostly used method for fuel weight fraction. This is very simple method in which we divide whole mission profile into number of mission phases. After that we calculate individual mission segment weight fraction. And based on which we determine approximated fuel weight.
Correct Answer : Option (C) : 4430kg
Explaination : Given crew weight = 150kg, payload weight = 600kgFuel weight fraction Wf / W0 = 1.06[1 – Wx/W0],Now from fuel fraction method,Wx / W0 = multiplication of each phase fraction= 0.975*0.98*0.96*0.8*0.96*0.97= 0.6833Now,Wf / W0 = 1.06 * [1 – (Wx / W0)] = 0.3357Empty weight fraction We / W0 = 0.481Gross weight of aircraft is,W0 = Wcrew + Wpayload + Wfuel + WemptyBy re-arranging,W0 = Wcrew + Wpayload / [1 – (Wf/ W0) – (We / W0)] = 150 + 600 / [1-0.3357-0.495] = 4430kg
Correct Answer : Option (C) : fuel, crew, payload and empty weight
Explanation : Total take-off gross weight is nothing but the sum of all the possible aspects of an aircraft. Hence, it will depend on fuel weight, crew and payload weight and also on empty weight.
Correct Answer : Option (D) : 2157lb
Explanation : Given crew and payload = 180kg,Empty weight fraction We / W0 = 0.48Fuel weight is 0.7 times empty weight.Hence, Wf = 0.7*WeHence, Wf / W0 = 0.7*We / W0 = 0.7*0.48 = 0.336Gross weight of aircraft is,W0 = Wcrew + Wpayload + Wfuel + WemptyBy re-arranging,W0 = Wcrew + Wpayload / [1 – (Wf/ W0) – (We / W0)] = 180 / [1-0.336-0.48] = 978.26kg = 2157.06lb.