F=MA
torque = F*r where r is a constant (for our purposes)
therefore Torque/r=MA
R is determined by the machine by comparing engine speed to dyno speed (less computation is required if you use the 1 to 1 gearing)
mass is the weight being accelerated
acceleration is acceleration
force is determined...
add heavier wheels...
M is thrown off
therefore F is thrown off. SNIP
I'm not exactly sure how you would calculate "r" (the radius or "lever arm length") by comparing rpm of the dyno and engine... but it really doesn't matter for purposes of the point I want to make...
SNIP
Ask the average guy what a HP is... they will not know. Ask them to demonstrate a foot pound... good chance they can.
Just because the average guy doesn't know what a HP is, doesn't make the unit of measure unimportant!
Now I suppose you can say that given the ease of torque multiplication you can make a s2000 motor tow a semi trailer... ok fair enough... but that does not make the argument any less made up. And it is still the torque moving the train.
You are making my point for me here. Torque numbers mean ABSOLUTELY NOTHING if you don't include two other important factors: Distance and time. (Knowing the RPM at which the torque is being delivered adds in these necessary factors.)
I can take a wrench with a really long handle and apply 499 lb-ft of torque to a shaft that will move a vehicle. If that shaft does not move, I have done exactly zero work and the vehicle hasn't moved... but I'm still exerting 499 lb-ft of torque!
But now let's say the shaft starts to turn at 500 lb-ft of torque... and with my wrench I can turn the shaft at a rate of one rpm. The vehicle is going to move slowly.
So now I hook up a small engine that puts out 50 ft-lb of torque at 5000 rpm. Way short of the 500 ft-lb required. So I add a bunch of gears to multiply that torque and (ignoring losses) I can put out 500 ft-lb of torque at 500 rpm. The shaft (and the vehicle) is going to move a lot faster than with my wrench at one rpm... 500 times faster.
So now I hook up a big engine that puts out 500 ft-lb of torque at 5000 rpm. That engine will turn the shaft at 5000 rpm! Now our vehicle is moving really fast! 5000 times faster than I could move it with my wrench!
But notice the one thing that is constant. The torque is still the same
500 ft-lb. But the faster the power source can apply the required torque to the shaft, the faster the vehicle will move.
Now look at the calculated HP for each example power source:
Wrench = 0.09 HP
Small engine = 47.6 HP
Large engine = 476 HP
Ultimate output torque remains the same at 500 ft-lbs but the HP numbers directly reflect the ability of each power source to move the vehicle... that's very meaningful IMHO.
Bottom line:
Torque is a static force measurement and useless for comparing engines without knowing the rpm at which the torque is being delivered.. And once you start talking about the rpm at which the torque is delivered, you are looking at the
rate that torque can be applied and now, like it or not, you're actually talking about HP.
HP is a unit of measurement that tells you the rate at which you can apply the torque and is extremely meaningful.
Given the other definition of power you could say that Horsepower should be an accurate predictor of gas mileage (conversion of chemical to kinetic energy)... it doesn't do that worth a hoot either though...
I'm not sure what "other definition of power" you are talking about... but it doesn't matter. Fuel economy is a solely measure of the engine's
efficiency. (How efficiently does the engine convert the chemical energy into mechanical energy?) Fuel economy has nothing... zero, zip, nada... nothing to do with HP.
The only practical use that I can find in the auto sphere for HP is to describe the TQ curve... if a motor makes 750 TQ and 300 HP it will not rev above about 4K... if it makes 190 HP and 70 tq it will have no bottom end...
I'm not exactly sure what you're saying here... not enough info...
Anyway... here's the real point about this type of chassis dyno reading: If the mass (weight) of the wheels changes the output readings that particular dyno is
not measuring torque...
As you've said yourself, this type of dyno is measuring acceleration of a mass and
calculating torque.
You can just as correctly (and actually more easily) measure the acceleration of the mass and calculate HP!