Why is there no helicoptor with a single rotor?

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Helicopters typically utilize multiple rotors to maintain stability and control during flight. A single rotor design would cause the helicopter to spin uncontrollably due to torque effects, necessitating a counteracting force. This is why helicopters are designed with either dual rotors or a tail rotor to balance the rotational motion. The motor imparts rotational motion to the rotor, which is measured as angular momentum, and an equal and opposite reaction occurs, affecting the helicopter's stability. Understanding these physical principles is crucial for helicopter design and functionality.
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All helicopters have two rotors. Some have both rotors on vertical axes but rotating in opposite directions, and the rest have one rotor on a horizontal axis perpendicular to the helicopter body at the tail. Why is a single rotor never used? :frown:
 
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To prevent the helicopter from spinning in circles, I believe.
 
i think i have to relate it to energy and momentum and all that great stuff...
 
okay. What physical quantity does the motor "impart" to the rotor? (Hint: it puts it into rotational motion right? So how is that measured as a "quantity?") If so, does an equal and opposite amount of this quantity get "imparted" back to the helicopter?
 
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