Jim wrote:
Taking the equation t=Ia and dividing both sides by I, you get t/I=a. As you said, t (torque from each of the pistons) and I (moment of inertia of the crank) are constant, so a (angular acceleration) is defined by the equation as constant, not more for the 1st one to fire.
My point is that the acceleration is not constant, even though the equation indicates that it is. The crank does slow after a power pulse (if it never did, then your engine would coast forever after you cut the ignition). It doesn't slow by much, but it does slow. Let's assume that, after the last power stroke of the 'last' cylinder the crank is turning at 5000 rpm. There is now 180 degrees for that crank to slow. Perhaps it slows to 4, 850 rpm. That's .833 rpm/degree of crank rotation. Now, cylinder #1 fires and it is trying to speed the crank back up to 5000 rpm. It now has to accelerate the crank very quickly to get back up to speed and let's assume reaches the goal.
Now we have 90 degrees of crank rotation until the next power pulse from cylinder #2, time in which the crank slows. If we assume the crank slows at the same rate (.833 rpm/degree) then the crank will only slow to 4925 rpm.
Now there is another 90 degrees of crank rotation until the final power pulse from cylinder #3, the crank slows again to 4925 rpm. So, if you are going to have to accelerate the crank a lot you want to do it with the one closest to the clutch basket to reduce the
I'll also point out that the torque does vary slightly in the equation as well since the torque an engine can produce is dependant to some degree on rpm. So I was trying to simplify the explanation by only addressing one variable, but it does involve two
A link the wikipedia page on crankshafts. Pretty good read, even talks a little about that v8 vs v6 topic. they note that cranks typically fail in two modes: bending and twisting. crank connects to a "...torsional or vibrational damper at the opposite end, to reduce the torsion vibrations often caused along the length of the crankshaft by the cylinders farthest from the output end acting on the torsional elasticity of the metal."
http://en.wikipedia.org/wiki/Crankshaft