JDizzy09 said:
Ok I'll try to be more specific while simplifying. If you had 2 identical semi's, and both were carrying a 30 ton load. But one had a regular 400hp diesel engine you'd see in a semi with it's standard transmission, the other had a 5.7 liter 400hp engine with only 350 lb-ft torque and a transmission specially equipped so that you could get both to be at their peak horsepower (400) at 70mph. Then while they're both going 70mph side by side on a flat road they hit 25 degree incline at the same time. Would one slow down more than the other?
25 degrees. Holy mountaineering, Batman! A ten percent grade is "steep". A 25 degree incline is a forty-six percent grade. That's beyond anything you'll be driving up in a semi.
The two engines will have some small effect from their kinetic energy of rotation. But by comparison to a 30 ton load going up a 25 degree incline, that's going to be pretty negligible. Let's set up some equations -- how fast can 400 horsepower raise a 30 ton load up a 25 degree incline?
A horsepower is approximately 750 watts. We have 400 of them, so that is about 300 kilowatts.
We have 30 tons (gross vehicle weight?). That is 60,000 pounds. At 2.2 kg per pound, that is about 27,000 kg. Multiply by the acceleration of gravity (call it 10 meters/sec
2) and we are talking about 270,000 Newtons.
Divide 300 kilowatts by 270,000 Newtons and you have around 1.1 meters per second. If you work out the conversion and
unless I've mucked something up [guilty!], that's about 2.4 miles per hour. Irrespective of engine type.
Edit: Apologies to
@JDizzy09, I forgot to account for the slope. That 2.4 miles per hour is the rate of vertical rise. The rate of diagonal run would be that number divided by the sine of 25 degrees. You could actually make 5.6 miles per hour up a 25 degree slope.
A more reasonable 10 percent grade is a 5.7 degree slope angle. You convert percent grade to slope angle by taking the inverse tangent. The inverse tangent of 0.10 is 5.7 degrees. By no coincidence, the sine of 5.7 degrees is just about 0.1 [The sine and the tangent of small angles are nearly identical]. You could drive that semi up a ten percent grade at about 24 miles per hour.