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What is the average power delivered by the engines to the airplane during takeoff?

46. The takeoff speed of a DC-3 airplane is 100 km/h. Starting from rest, the airplane takes 10 s to reach this speed. The mass of the (loaded) airplane is 11,000 kg. What is the average power delivered by the engines to the airplane during takeoff?

  KE needed = ½ • m • V²

  V = (100 Km/hr) • (1000 ⁄ 3600) = 27.78 m/sec → S.I. system.

  KE needed = ½ • (11000) • V²

  KE needed = ½ • (11000) • (27.78)²

  KE needed = 4.24 ×10^6 Joules

                  Power = Energy ⁄ Time

                  Power = (4.24 ×10^6 J) ⁄ (10 sec)

                  Power = 4.24 ×10^5 watts

                  Power = 424 KW

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