154S HW4 (2)

154S HW4 (2) - MAE 154S: Homework 4 Due Wednesday October...

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MAE 154S: Homework 4 Due Wednesday October 27, 2010 Problem 1: At takeoff from Seattle, the three-engine B-727-200 transport weighed 168,000 lb. Determine the FAR takeoff field length if V LOF = 1.2V S . The wing area is 1700 ft 2 . The airport runways may be assumed to be at sea-level pressure altitude. The temperature was 62 ° F. The engines have a static (V=0) rating of 14,500 lb of thrust each, but lose 14% in thrust at the effective average takeoff speed (0.70 V LOF ) due to bleed and power extraction losses and the engine ram drag due to the forward speed. For the takeoff, the flap angle is 20 degrees, and the slats are extended giving a C Lmax of 2.6. Also assume: C D,G = 0.02+0.05*C L,G 2 C L,G = 0.5 μ G =0.02 Problem 2: Derive the range equation for a battery-powered propeller-driven R/C aircraft. Since it is battery-powered, the weight does not change. The battery has a stored energy, E, and ˙ E = P Re qd η p m where η p and η m are the propeller and motor efficiencies. Express the range equation for battery-powered aircraft in terms of total battery
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154S HW4 (2) - MAE 154S: Homework 4 Due Wednesday October...

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