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A helicopter has a mass m and maintains height by imparting a downward momentum to...

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A helicopter has a mass m and maintains height by imparting a downward momentum to a column of air defined by the slipstream boundary as shown in the figure The propeller blades can project a downward air speed v where the pressure in the stream below the blades is atmospheric and the radius of the circular cross section of the slip stream is r Neglect any rotational energy of the air the temperature rise due to air friction and any change in air density 1 mg C Power of engine A v for equilibrium mg mg 2r V TP B v 2 r mg p for equilibrium for equilibrium D Power of engine mg mg p for equilibrium

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