TwinTurbo.NET: Nissan 300ZX forum - The physics, ignoring traction effects:
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Subject The physics, ignoring traction effects:
     
Posted by Technomancer on June 09, 2004 at 11:52 AM
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In Reply To acceleration gains with HP increase posted by fairladysman on June 09, 2004 at 11:04 AM
     
Message Power is Energy/unit time. If you don't know what the symbols in the following stand for, read a book!

P = 1/2 m*v^2/t

thus

t = 1/2 m*v^2/P = (a constant) / P

So you know time (t) to get to 60 mph (the "v"). You know your two values for horsepower P. The mass "m" of your car is gonna stay the same.

So plug and chug...put in your initial 0-60 time and initial HP to find the constant:

constant = t*P

Now plug in your new HP, that constant you just found, to find your new time

t_new = constant/P_new = t*P/P_new

(One problem. You are probably putting in the peak horsepower for P and it should be the average horsepower for the above equations to work. I suggest you just ignore the problem, implicitly assuming the mistake "scales" at the same rate as P and thus cancels out. Probably good enough for the kind of bench racing that interests you.)

- John


     
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