this post was submitted on 25 Sep 2025
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"High-altitude winds between 1,640 and 3,281 feet (500 and 10,000 meters) above the ground are stronger and steadier than surface winds. These winds are abundant, widely available, and carbon-free.

"The physics of wind power makes this resource extremely valuable. “When wind speed doubles, the energy it carries increases eightfold, triple the speed, and you have 27 times the energy,” explained Gong Zeqi "

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[–] WFloyd@lemmy.world 10 points 9 months ago* (last edited 9 months ago) (15 children)

When wind speed doubles, the energy it carries increases eightfold,

Edit: I'm wrong, see edit below!

Huh? Kinetic energy increase is square, not cubic.

KE=1/2 m v^2

So every doubling of speed should increase the available kinetic energy by 4 times, not 8. 3 times the speed is 9 times the energy. Granted there are probably some efficiency gains in excess of this at the low end, ~~but as a rule that's just wrong.~~

Edit: Cool, I learned something new! I neglected to consider it in terms of power, just thought about kinetic energy.

So something like: KE = 1/2 m v^2

= 1/2 ( rho V) v^2

= 1/2 ( rho A d) (d/t)^2

= 1/2 rho A d^3 1/t^2

Where P = KE/t

Thus:

P = 1/2 rho A (d/t)^3

= 1/2 rho A v^3

Lots of other aspects I'm sure I have wrong, but I see how the cubic came to be.

[–] driving_crooner@lemmy.eco.br 24 points 9 months ago (5 children)

Its cubic actually

https://thundersaidenergy.com/downloads/wind-power-impacts-of-larger-turbines/

I don't understand the physics, but every model of power output from wind turbines uses V^3 for the formula

[–] deltamental@lemmy.world 19 points 9 months ago (1 children)

That's a good link.

During the stampede scene in the Lion King, imagine the wildebeests were stampeding twice as fast. Then Simba's dad Mufasa would not only have quadruple the amount of energy imparted by each wildebeest, but also be trampled by twice as many wildebeests per second, so the rate of energy imparted on Mufasa per second would be 4 x 2 = 8 times greater when velocity doubles.

[–] AceBonobo@lemmy.world 9 points 9 months ago

Education via childhood trauma

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