## reciprocating weight in an engine

I have been working on a small problem for a little while, and I so happen to find this forum. I was wondering if anyone can point me to the right direction with this.

I am trying to calculate very accurately how much the rod/piston assembly in an engine will weigh at a given RPM. I have been studying ARP's (Automotive Racing Products) equations from their website, but the numbers do not sound correct at all ( 228,742 kilo's @ 1000RPM? ). So I am kind of skeptical about their math or the way I am doing it.

this is the equation and graph

My thoughts about this is that the piston and rod are not changing direction instantly, but the rod slowly changes direction in about a 180 degree rotation of the crankshaft, but the change peaks at the bottom and top of the strokes. So I believe there has to be a much more detailed math to describe this.

I have an excel sheet i made that has all the work already there. So if anyone could take a look at it and steer me in the right direction with this, that would be cool.
Attached Files
 recmass.zip (3.2 KB, 16 views)
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 Mentor There are 3600 seconds in a minute (acceleration is expressed in terms of m/s) and the answer is in Newtons, not kg. Via f=ma, 1kg=9.8N. So I calculate an answer of about 254N (1/3600th of 915,000) at 2000 rpm. I did calculate that from scratch and then compare/cross-check with your calculation, btw, so I'm pretty sure of the answer. There is an additional issue of the acceleration not being constant in simple harmonic motion. I can't quite get my head around it, but I think that makes the answer off by a factor of pi/2, meaning the maximum force would be about 400 N. I'm not certain of that, though.
 Recognitions: Science Advisor If the position is A cos omega t, the acceleration is -omega^2 A cos omega t. for your piston A = 0.0455 m. A speed of 1000 rpm = 2 pi * 1000 / 60 radians/sec = 105 radians/sec So the max acceleration of the piston at 1000 RPM is 500 m/sec or about 50 g. So your piston will "weigh" 50 times more at 1000 RPM that at 0 RPM. The weight goes up as speed squared, so at 10000 RPM it "weighs" 5000 times as much as at 0 RPM. An acceleration of 5000G in a rotating machine is quite a believable number - for example jet engine rotors go well beyond that G level.

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## reciprocating weight in an engine

 Quote by russ_watters There are 3600 seconds in a minute (acceleration is expressed in terms of m/s)
Oops ... that might explain why you got a rather small force.

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Homework Help
Piston acceleration is a linear acceleration along the axis of motion as opposed to the radial acceleration seen on the crankshaft.

Attached is what I've used in the past for this. Hope that helps.
Attached Files
 Comp Piston Acc.zip (4.2 KB, 16 views)

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