Cubic inch formula

300jk

Well-known Member
Will the following formula give correct engine cubic inches. Bore x bore x stroke x # of cylinders x .7854. Just wondering.
 
Yes. Area of circle is 3.1416 * diameter * diameter divided by 4. (3.1416/4 = 0.7854) Then * stroke * number of cylinders
 
R2x pi x strokex# cylinders. radius is half of bore multiplied by itself, x 3,1416 ( pi) , stroke x cylinders. This is the formula for "area of a cylinder ".
 
pi, (3.141), times r squared, (which is half the diameter times itself), times the stroke, times the number of cylinders = cubic measurement.

(pi)x(r squared)x(stroke)x(# of cyl) = cubic in, ltr, etc.

gm
 
300jk, after running a couple of different bore sizes with the formula you presented and comparing it with the one more commonly presented in math books, etc. I found that the outcomes are basically the same. May I ask where you came up with this one? Thanks, gm
 
If you could measure and divide perfectly, you would get 3.141592653589793238..., or pi.

Only difference would be where pi is rounded to - 3.14 or 3.1416 or ??.
 

Gary, They are the same formula: (pi x D^2)/4 = pi x R^2, both will give you the area of a circle. In working with engines I find it easier to use the diameter because my caliper reads out the diameter, not the radius. Also, pistons are listed in diameters rather than in radius. Bore, is by definition a diameter. However, the math works equally well using either formula.

Lets consider the formula using the diameter and convert it to using the radius:

Area of a Circle = (pi x D^2)/4

D = 2 x R and D^2 = (2R)^2 = 4 x R^2

Substituting 4 x R^2 in the first equation yields:

Area of a Circle = (pi x 4 x R^2)/4, dividing by 4 yields:

Area of a Circle = pi x R^2

Engine Displacement = pi x R^2 x stroke x # cylinders:

Clear as mud....? I hope not.

Ken
 
Sorry I dont use this forum all that often. I velieve it was on an engine builders web site. Cant recall which though !
 

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