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Problem 4.4 - M dV dt ⋅ F t = dV F t M dt ⋅ =...

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Problem 4.4 [Difficulty: 2] Given: Data on Boeing 777-200 jet Find: Minimum runway length for takeoff Solution: Basic equation Σ F x M dV dt = M V dV dx = F t = constant = Note that the "weight" is already in mass units! Separating variables M V dV F t dx = Integrating x M V 2 2 F t = x 1 2 325 × 10 3 × kg 225 km hr 1 km 1000 m × 1 hr 3600 s × 2 × 1 2 425 × 10 3 × × 1 N N s 2 kg m × = x 747 m = For time calculation
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Unformatted text preview: M dV dt ⋅ F t = dV F t M dt ⋅ = Integrating t M V ⋅ F t = t 325 10 3 × kg 225 × km hr 1 km ⋅ 1000 m ⋅ × 1 hr ⋅ 3600 s ⋅ × 1 2 425 × 10 3 × × 1 N ⋅ N s 2 ⋅ kg m ⋅ × = t 23.9 s = Aerodynamic and rolling resistances would significantly increase both these results...
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