Speed of the air of a hovering helicopter

AI Thread Summary
To determine the speed of the air pushed down by a hovering helicopter, the problem involves calculating the mass flow rate of air through the rotor. Given the helicopter's weight of 6230 kg and rotor diameter of 14.6 m, the area of the rotor can be calculated to find how much air is displaced. The discussion suggests using impulse and momentum principles to relate the airspeed to the helicopter's weight. The key challenge is establishing the relationship between the speed of the air and the momentum it generates to support the helicopter's weight. Understanding these concepts is crucial for solving the problem effectively.
nowayn
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Homework Statement


A helicopter is hovering 10m above the ground, weighs 6230kg and the rotors are 14,6m in diameter. Which speed does the air have that the rotors are pushing down?

The Attempt at a Solution


i really have no idea where to begin but the chapter has to do with impulse so i assume its solved using that in some way.
 
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If the speed is v, how much air is going through the rotor every second? What is the momentum of this air?
 
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