Late 1941 - late 42: Bf-109 vs. Fw-190

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I just found this:

"The laws of physics related to aircraft speed increases are ruled by the cube law, which says that doubling the horsepower of an engine will increase the speed by the cube root of two, or 1.26 (26 percent). By this law, removing the 230-hp engine and installing a 300-hp engine (a 24-percent power increase) could increase the maximum speed by 9 percent."
 
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Damn,my math skills have deteriorated along with my brain.

Can someone out there put this in a general equation form so that you can plug in old hp, new hp, and old speed to get the new speed?

I appreciate it.
 

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