Powers of 'P': Balancing a Helicopter at N Times the Scale

[kishtik]

We have a helicopter flying and use the power "P" to keep it in equilibrium. But if the scale was greater n times, what would be the power to keep it there?

 

[Allegro]

Hello kishtik,

See:http://scienceworld.wolfram.com/physics/Helicopter.html

 

[kishtik]

Thanks, but didn't need such detail. I thought that if the scale was greater n times then the volume of the helicopter had to be proportional to n^3. So with the same density, its mass also had to be proportional to n^3.
$$P= \Delta W/t$$

$$P=F \Delta x/t$$

$$P=mg \Delta x/t$$

So if m increases n^3 times, P must increase n^3 times and the new power would be n^3P.
Was I wrong?

for latex.