Hold on.... I was lazy before but looking more into the physics of this..... I'm pretty sure
@darrellr is basically right. How fast you get moving will always be a factor of the torque you are providing to your wheels. In a closed system like a car, the torque will be entirely dependent on the torque curve. Assuming Peak torque is near the redline for our trucks. (let me know if it's not)
Everyone saying they are not having any issues getting to speed on hills are either not towing as heavy, as fast, or not towing up the same grade hills. We are talking about the Rocky Mountains, after all!
At the end of the day, shorter gears will rev up to redline faster which means you will have more opportunity to be in that peak of the torque curve. So the real advantage is
- First gear where you can't downshift otherwise
- Passing at various speeds. Since the gears are "shorter", you are more likely find a gear you can downshift to that puts you near peak torque, regardless of speed. I think this phenomenon is probably the reason people are adamant about 4.10's feeling faster during higher gears as well. Anytime you floor it, there is a bigger chance you will land into the top portion of your torque curve.
From there on in, which one does better at challenging situations like a hill will
always be a matter of what speed you tow up hills at. When I'm at almost 60mph and it won' go any faster I am nearing redline. Which means I am basically right at peak torque as it is. A 4.10 can't help that. I'm already laying as much moving force onto the ground as my engine can provide. The multiplier doesn't change that. In fact, 3.73's may be the perfect gearing for my situation since I'm already in peak torque.
On the other hand, the 4.10's would have helped in the following situation that I mentioned in my post:
5. There was one time in the middle of a hill where I had to shed a lot of speed because of traffic, and it basically crawled at 48mph+ (hill ended before it got past 53 or something)
This happened because 48mph must be the exact intersection of
- My RPM's are below the powerband of my torque curve
- Shifting lower would put me above redline. So I can't
With a 4.10, I would have more likely had a gear I could shift down to that put me closer to the peak torque of the gear.
What do you guys think? Settled?