Can someone explain the math of being able to go to 800 torque without changing the HP or RPM specs?
The difference between hp and tq is a math equasion. Any and all engines run the same equasion, and at 5252 rpms the tq and hp are the same.
So TQ = HP*5252/rpms
and HP = TQ*rpms/5252
So what Cummins did was up the fueling in the low-mid range rpm, and leave the top rpm fueling the same.
So to gain 150 ft/lbs at 1500 rpms what they also gained 42hp at 1500 rpms.
If you think about the equasion you can see why diesels typically have 2x the tq as they do hp, its about rpms. At 2626 rpms tq is doube hp, on every engine. If you don't make a lot of hp down low you don't have tq down low. And based on rpms its takes very little hp at low rpms to make a lot of tq. . Lets look at 300 hp and various rpms.
300 hp at 1,000 rpms is 1575 ft/lbs
300 hp at 1,500 rpms is 1050 ft/lbs
300 hp at 2,000 rpms is 788 ft/lbs
300 hp at 2,500 rpms is 630 ft/lbs
300 hp at 3,000 rpms is 525 ft/lbs
300 hp at 3,500 rpms is 450 ft/lbs
300 hp at 4,000 rpms is 394 ft/lbs
300 hp at 4,500 rpms is 350 ft/lbs
300 hp at 5,000 rpms is 315 ft/lbs
300 hp at 5,500 rpms is 286 ft/lbs
300 hp at 6,000 rpms is 263 ft/lbs
300 hp at 6,500 rpms is 243 ft/lbs
300 hp at 7,000 rpms is 225 ft/lbs
300 hp at 7,500 rpms is 210 ft/lbs
300 hp at 8,000 rpms is 197 ft/lbs
300 hp at 8,500 rpms is 185 ft/lbs
300 hp at 9,000 rpms is 175 ft/lbs
300 hp at 9,500 rpms is 165 ft/lbs
300 hp at 10,000 rpms is 157 ft/lbs
Kinda extensive, but it shows what rpms do for tq.
The reason that a diesel is so great for towing is they make hp down low, and thus can get a load moving easier. Then to maintain speed they can do so at lower rpms, which reduces fuel consumption, NVH, engine wear, and allows for less gear reduction. In all honesty if you had a 4cyl honda motor that made 300hp at 10,000 rpms and a Cummins that makes 300 hp at 2,000 rpms and they both are geared to turn their repective (10,000 or 2,000) rpms at 65 mph they both would have the same amount of tq to the ground and both would pull the hill the same. But to do that the Honda would take 5 times more gear reduction, which takes a lot of space, makes a lot of heat, and takes more power to spin...
Ain't math great.