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Most motors in the industry list the prop range.
The Largest prop (14x7) is for the 2s pack.
While the smallest (12x6) is for the 3s pack.
These are not ranges as much as they are a Max prop you can use with that motor per battery cell.
Why is that?
The more cells in a battery the more voltage you are using. The more voltage you are using the faster your motor spins. All motors have a burn out factor. A 3s LiPo will turn the prop faster than the 2s LiPo. We use a smaller prop when using the higher the number of cell LiPo to make it easier on the motor.
A much better way to list them would be:
Prop Load Formula: Prop Load = (D xD) xP
APC 6x4...(6x6) x4 =144
As a very rough approximation, the diameter of the propeller controls the thrust produced, and the pitch controls the speed of the air leaving the back of the propeller. In reality, pitch also affects thrust somewhat, but thinking of the two separately helps to envision how propeller changes will affect performance.
The pitch is a measure of how far the propeller would mover forwards in one revolution if it were treated as a screw and screwed into some solid material.
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Make your Hobby an Air Hobby!!