Helicopter Velocity - Calculating Speed of Air

AI Thread Summary
To calculate the speed of the air that a helicopter rotor is pushing down, the area of the rotor is essential. The rotor's diameter of 14.6 meters allows for the calculation of this area, which is crucial for determining the mass of the air being accelerated. The relationship between rotor size and air velocity indicates that a larger rotor can generate lift at lower air speeds, while a smaller rotor requires higher speeds. Understanding these dynamics is key to solving the problem of how fast the air must move to support the helicopter's weight of 6230 kg at a height of 10 meters. This analysis highlights the importance of rotor area in calculating airspeed for lift generation.
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Homework Statement



A helicopter is hovering at a height of 10 meters. It weighs 6230 kg and the diameter of the rotos is 14.6 m. What is the speed of the air that the rotor is pushing down?

Homework Equations



How am I supposed to solve this problem?

The Attempt at a Solution



I'll probably need the area of the rotor but I haven't figured out why yet...
 
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With the diameter of the rotor you can calculate the size of the area, the air is pushed down to lift the helicopter.
 
Why do I need the area? Maybe to calculate the mass of the air?
 
Exactly. You have the possibility to accelerate air with a small rotor to high velocities or with a large rotor to lower velocities to generate the force, that lifts the helicopter. With the area you can define which velocity you need the air speeded up.
 
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