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Find instantaneous range of a jet propelled aircraft if lift to drag ratio is 12 and weight fraction at cruise W1/W0 is 1.9. Consider cruise speed of 120m/s and SFC of 0.00161 per second.

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Find instantaneous range of a jet propelled aircraft if lift to drag ratio is 12 and weight fraction at cruise W1/W0 is 1.9. Consider cruise speed of 120m/s and SFC of 0.00161 per second.

(a) 574km

(b) 574m

(c) 574miles

(d) 574ft

I have been asked this question in unit test.

Question is from Flight Mechanics topic in portion Performance and Flight Mechanics of Aircraft Design

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The correct option is (a) 574km

To explain I would say: Range = (lift to drag)*(speed/SFC)*ln (W1/W0)

= 12*(120/0.00161)*ln (1.9) = 574Km.

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