Displacement and...math (Sorry)
#12
jpplaw's method is probably the easiest method to calculate geometric displacement.
The way I memorized it is using classic middle school volumes calculation:
1 cylinder volume = pi*h*r^2
or 3.1416(stroke)(bore/2)(bore/2) where
Pi = 3.1416
h = full stroke from BDC to TDC
r = bore/2
Once you calculate the volume of one cylinder, you are right: just multiply by 8 for 8 cylinders.
The Coyote engine has the following dimensions for displacement:
Bore = 92.2 mm or 3.63 inch
Stroke = 92.8 mm or 3.65 inch
Using either jpplaw's equation or mine, the same numbers come up:
jpplaw's method: 3.630" x 3.630" x 3.650" x 8 x .78545 = 302.214 ci (Note the rounding error, but very very close)
My method: 3.1416 (3.630"/2) (3.630"/2) (3.650") (8) = 302.195 ci (Again, rounding error, but very close)
Now metric: 3.1416 (92.2mm/2) (92.2mm/2) (92.8mm) (8) = 4,956,677.9 cubic mm
We need to convert to Liters, divide by 1 million. There are 1 million cubic mm in one Liter.
4,956,677.9 cubic mm = 4.957 L, which by industry standard is rounded up to 5.0L.
The way I memorized it is using classic middle school volumes calculation:
1 cylinder volume = pi*h*r^2
or 3.1416(stroke)(bore/2)(bore/2) where
Pi = 3.1416
h = full stroke from BDC to TDC
r = bore/2
Once you calculate the volume of one cylinder, you are right: just multiply by 8 for 8 cylinders.
The Coyote engine has the following dimensions for displacement:
Bore = 92.2 mm or 3.63 inch
Stroke = 92.8 mm or 3.65 inch
Using either jpplaw's equation or mine, the same numbers come up:
jpplaw's method: 3.630" x 3.630" x 3.650" x 8 x .78545 = 302.214 ci (Note the rounding error, but very very close)
My method: 3.1416 (3.630"/2) (3.630"/2) (3.650") (8) = 302.195 ci (Again, rounding error, but very close)
Now metric: 3.1416 (92.2mm/2) (92.2mm/2) (92.8mm) (8) = 4,956,677.9 cubic mm
We need to convert to Liters, divide by 1 million. There are 1 million cubic mm in one Liter.
4,956,677.9 cubic mm = 4.957 L, which by industry standard is rounded up to 5.0L.
Thread
Thread Starter
Forum
Replies
Last Post