displacement of 30 over cylinders?
#1
displacement of 30 over cylinders?
Anyone know how to figure it? The rough estimate that the machine shop gave me was about 4-5 extra cubic inches so not even 0.1L. Anyone know for sure?
#2
looking at the equations, and the diameter/radius is the only thing that changed (same rods and cam), then the difference is proportional to the increase in surface area of the piston head.
For the old pistions, Surface Area = SA(old) = (pi) x radius(old)^(squared)
For the new pistions, Surface Area = SA(new) = (pi) x radius(old)^(squared)
SA new divided by SA old is the ratio you want...
SAnew / SAold = [ radius(new) / radius(old) ] ^(squared)
Now all you need is the radius of the old piston and the radius of the new piston and you can calculate it...
Take the ratio you get with the above equation and multiply it by your old displacement to get your new displacement.
For the old pistions, Surface Area = SA(old) = (pi) x radius(old)^(squared)
For the new pistions, Surface Area = SA(new) = (pi) x radius(old)^(squared)
SA new divided by SA old is the ratio you want...
SAnew / SAold = [ radius(new) / radius(old) ] ^(squared)
Now all you need is the radius of the old piston and the radius of the new piston and you can calculate it...
Take the ratio you get with the above equation and multiply it by your old displacement to get your new displacement.
#3
Originally Posted by bamachem
SAnew / SAold = [ radius(new) / radius(old) ] ^(squared)
#4
it's either 30/1000's in the diameter or 30/1000's in the radius...
i'm thinking diameter. can't do it w/o the piston diameter. look up what the stock pistons are on a parts webpage or call an auto parts store for the info. if the stroke stayed the same, then the displacement will change relative to the diameter/radius change only.
i'm thinking diameter. can't do it w/o the piston diameter. look up what the stock pistons are on a parts webpage or call an auto parts store for the info. if the stroke stayed the same, then the displacement will change relative to the diameter/radius change only.
#6
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Here's how I did it. .030 over increases the cylinder volume by .02
(I computed the volume of a cylinder, then increased the diam by .030 and recomputed it, then divided to get the percent change.)
So, a 3.0 - 2958cc x 1.02 = 3017cc
a 3.4 - 3378 x 1.02 = 3445cc
(I computed the volume of a cylinder, then increased the diam by .030 and recomputed it, then divided to get the percent change.)
So, a 3.0 - 2958cc x 1.02 = 3017cc
a 3.4 - 3378 x 1.02 = 3445cc
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m'kay, I did the math with actual bore and stroke and the multiplier for .030 over is 1.019 (still pretty darn close to 2%...)
So, a 3.0 - 2958cc x 1.019 = 3014cc
a 3.4 - 3378 x 1.019 = 3442cc
Or alternatively, the formula for volume of a cylinder is PI x r^2 x h
3.14159 x bore-radius squared x height
87.5mm = 3.445" 82mm = 3.228"
Stock piston:
3.14159 x 1.72^2 x 3.228 = 30.001 cu in. x 6 = 180cu in. or 2949cc (spec says it's 2958cc)
.030 over:
3.14159 x 1.737^2 x 3.228 = 30.59 cu in. x 6 = 183.54cu in. or 3007cc
well, that double check revealed the errors of rounding off stuff and OH WAIT - the cylinder bore is bigger than the piston size - that would probably account for the discrepancy. (and I'm not looking up ring clearance and figuring that out...)
edit: to double check I looked up some displacement figures on engine builders websites and the 2% number is about right for a v6. .030 over ran about 2.6% more displacement for an eight cylinder engine.
So, a 3.0 - 2958cc x 1.019 = 3014cc
a 3.4 - 3378 x 1.019 = 3442cc
Or alternatively, the formula for volume of a cylinder is PI x r^2 x h
3.14159 x bore-radius squared x height
87.5mm = 3.445" 82mm = 3.228"
Stock piston:
3.14159 x 1.72^2 x 3.228 = 30.001 cu in. x 6 = 180cu in. or 2949cc (spec says it's 2958cc)
.030 over:
3.14159 x 1.737^2 x 3.228 = 30.59 cu in. x 6 = 183.54cu in. or 3007cc
well, that double check revealed the errors of rounding off stuff and OH WAIT - the cylinder bore is bigger than the piston size - that would probably account for the discrepancy. (and I'm not looking up ring clearance and figuring that out...)
edit: to double check I looked up some displacement figures on engine builders websites and the 2% number is about right for a v6. .030 over ran about 2.6% more displacement for an eight cylinder engine.
Last edited by Flamedx4; 08-04-2004 at 01:40 PM.
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