A helicopter with a capacity of 3,000,000 watts was loaded with 500 kg of cargo. having turned on the engine at 10% power

| January 15, 2021 | education

A helicopter with a capacity of 3,000,000 watts was loaded with 500 kg of cargo. having turned on the engine at 10% power, the helicopter steadily climbed to a height of 100 m in 5 seconds. what is the mass of the helicopter without cargo?

Given: Ns (helicopter power) = 3 * 10 ^ 6 W; m1 (mass of the loaded cargo) = 500 kg; η (percentage of engine power utilization) = 10% (0.1); h (lifting height) = 100 m; t (ascent duration) = 5 s.
Constants: g (acceleration due to gravity) ≈ 10 m / s2.
We express the mass of the helicopter under consideration from the formula: η = Np / Ns = A / (Ns * t) = m * g * h / (Ns * t) = (m1 + m2) * g * h / (Ns * t), whence m2 = Nz * t * η / (g * h) – m1.
Calculation: m2 = 3 * 10 ^ 6 * 5 * 0.1 / (10 * 100) – 500 = 1000 kg (1 ton).



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