Ok! Stupid Math time. Here is the Process for the G's of acceleration at 4000 RPM
4000 RPM.
1000 firings per minute.
8000 Reversals ( Top and bottom. Actually, it would be 7998, but for ruond #'s it is close enough. )
Assume the engine has a 3.88 Stroke. ( That is for my V-10. chevy 350 is 3.48 )
Ok, assuming that acceleration is lineal ( which it is not, but for mathmatical reasons and simplicity, that is what I am going to do this with ) then the pistion accelerates 1/2 time, and decel the other 1/2. So, 4000 ( 8000/2 ) times a second that piston is accelerationg to top speed, and it is doing that in 3.88in /2 ( the other half it is accelerating ) so, at 4000 RPM ( 4000/60 = 66.6 ) 66.6 times a second that piston is covering 3.88/2 inches. ( can you tell this is gonna be fast yet? ) thet means that the average speed that the piston is moving in a straight line ( average in an engine is actully zero since it reverses ) is 258*2 inches per second. ( (66.6 x 3.88)*2 inches ) which equates to 15480*2 inches per minute. ( The times 2 is because the piston moves up once and down once per revolution )
That is 1258 feet per minute ( 5280 Feet per minute is 60 MPH ) 1258 is just short of 1.4 mile, which means that at average speed the piston is moving at about 15 MPH.
Remember, that is average spped in the cyl. Here is a diagram of a cyl to help with the rest of my math.
stopped (Bottom dead center) -- Medium speed -- top speed -- Medium speed -- Stopped (top dead center)
So the average spped (medium) is exactly 1/2 of top speed, whcih means top speed of the piston at 4000 RPM is about 30MPH. Now remeber, the stroke is 3.88 inches, so that piston is accelerationg to 30 MPH in about 1.94 INCHES. That is about the distance from the #1 key to the #4 key on your keyboard. That is insane. A top fuel dragster might hit 30MPH in about 15 feet.
So now we need the time that the piston is accelerating in that 1.94 inches. at 4000 RPM ( 8000 reversals remember ) tha means that it takes that piston 8000/60 = 133 times a second ( remember we devided by 2 above to get 66.6 ) that the piston is accelerating to top speed which means it takes 1/133 of a second to acelerate to that speed.
Ok, now for the physics. we must Convert to Metrics ( how annoying ) So 1.33 inches = .033782 meters. 30 MPH = 48 KMH = 48000 Meters/minute = 48000/60/60 =
That means that the piston is accelerating to 13.3 meters per second in .033783 meters.
Plug that into our acceleration forumula. Acceleration = change in velocity / time taken for change.
change in velocity = 13.3 m/s
Time taken = 1/133 second
13.3 / (1/133) = 17728.9 m/s^2 acceleration.
one G is = to 9.81 m/s^2 17728.9 / 9.81 =
1807 G's of acceleration ( my last post was in error as you can see )
That means that the 2 lb piston has 3600 LB's of force on it when it is spinning at 4000 RPM. That is about the same as a Lincon town car.
Not only can you see how much force is on that piston, but you can see how monumentily in-efficent the engine is. If 100% of the force was transfered to the wheels that 3600 LBs of force would be equal to about 1800 Horsepower. And that is only one cyl.