Re: Rebuilding ford 302 HO any idleas ?!?!
Aloysius said:
Ever wonder why the numerical equivalent horsepower and torque curves cross at 5252 rpms? It's FROM the FORMULA.
I?ve never wondered because I?ve always known as far back as I can remember. It's a totally arbitrary number. They cross at 5,252 because the distance around a circle is 2 x PI x R, and James Watt decided that 1 foot was a good number for a moment arm, and Watt decided that a horse could lift 550 pounds one foot in one second in the late 1700?s. 550 pounds one foot in one second is the same as 33,000 pounds one foot in one minute (that's one horsepower).
In a nutsack, (2 x PI x 1) / (550 x 60) = 6.28 / 33,000 = 1/5,252. If he?d decided that 6 inches was a good moment arm they would cross at 10,504. If he'd decided 2 feet was a good moment arm they'd cross at 2,626. If he'd decided that a horse could only lift 540 pounds one foot in one second they'd cross at 5,159. If he'd have lucked into a strong horse that could lift 570 pounds one foot in one second they would cross at 5,446. I very seriously doubt if you have any more understanding of it other than "It's FROM the FORMULA" or you would realize how silly some of your statements are.
James Watt decided a few hundred years ago to normalize his units for power to 1 foot and 1 minute for his "horsepower" thing. If you?re talking rotational velocity and standardizing on a 1 foot lever arm, then your distance becomes the distance around a circle with a radius of 1 foot. Circumference of a circle is 2 x PI x R, so the standardized circumference is 2 x PI x 1 = 6.28. Didn't have to do anything about the minutes because the standard unit of measurement for rotation was already revolutions per minute.
Basic power unit (not HP yet) = ft-lb/sec, so to use the power of a 4,500 RPM, 350 ft-lb engine in an example we have to multiply by 60 to get it into the basic power units of ft-lb/sec. 4,500 x 350 x 60 = 94,500,000 ft-lb/sec
Remember, James Watt standardized HP to a one foot moment arm a few hundred years ago. To convert from basic power units to HP first we have to multiply by 6.28:
94,500,000 x 6.28 = 593,460,000 ft-lb/sec
Watt also decided that one horsepower = 33,000 ft-lb/min. So to get to minutes we'll have to divide the power by 60:
593,460,000 ft-lb/sec / 60 sec/min = 9,891,000 ft-lb/min
Then to get to HP, we have to divide by 33,000 ft-lb/min:
9,891,000 ft-lb/min / 33,000 ft-lb/min = 300 HP.
So the entire equation is:
HP = torque x rpm x (6.28 / 33,000)
Notice that the division by 60 to convert to minutes that we did a couple of steps above is already contained in the "revolutions/min" term since 60 revolutions / minute = 1 revolution / sec.
If you did good in math, you?ll notice that the 6.28 and 33,000 are what are called ?constants?. In other words, they never change. So why multiply by 6.28 and divide by 33,000 every time we want HP? Do it once and be done. 6.28/33,000 = 1/5252. So our equation is now:
HP = torque x RPM x (1/5252) which is the same as
HP = torque x RPM / 5252
We can check it with our 4500 RPM, 350 ft-lb motor:
HP = 350 x 4500 / 5252 = 300 HP
Another way to put it is that if your buddy tells you that the power of his engine is 94,500,000 ft-lb/sec, he's really telling you that he has a 300 HP engine ....
Ain't math cool?
Any more questions? Can you tell that I was bored for the last hour waiting to go home? 