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-   -   4.10 gears...not what I expected. (http://zr1.net/forum/showthread.php?t=22970)

Kevin 08-02-2014 12:23 PM

Re: 4.10 gears...not what I expected.
 
lets play nice gentlemen

PhillipsLT5 08-02-2014 01:39 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by tf95ZR1 (Post 208603)
This gear ratio discussion has my head (and tires) spinning!
R R R
;)

Anyone can tell me anything, BUT I will go with 4.10's over 3.45 in any car any day, Just sayin

mike100 08-02-2014 02:03 PM

Re: 4.10 gears...not what I expected.
 
It is so difficult to put the mathematics into words, but many of us know what the final drive and tire diameter do to the car as a whole. I have been told by two different people that 3.73's really woke up their ZR-1's that they used to own. These comments were unsolicited and just came up as advice for bang-for-buck mods. I also like this idea as there is a speedo gear available for this ratio for a clean conversion. Unfortunately I'm pretty much done with projects and I'm just keeping the car in good condition at this point, but it would be the next thing on the list if the budget was available.

Paul Workman 08-02-2014 03:46 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by WVZR-1 (Post 208600)
You constantly try to mess with the conversation. Your REAL GEAR is what ever the numerical numbers (ring gear/pinion) dictate. Your tire diameters alter your 'final drive' but you constantly fail to mention that. You mention 'real world' - real world is same as 'real gear' - it's the mathematical numbers of the gear set....*.

OUCH!

In spite of perhaps using less than precise or exacting terminology, I think most of us understand what Dom was trying to get at. And, he brings a valid point: whatever conclusions or direction this thread makes or takes, tire diameter variances introduced by those that have other than the "normal" tire sizes need to be considered. (OK, he only mentions wheels, but we know what he's implying, I believe.)

Just sayin....

Paul.

XfireZ51 08-02-2014 04:13 PM

Re: 4.10 gears...not what I expected.
 
WV,

Apologies for my lack of precision. Took too much for granted. If anyone else in this thread was thrown into a technical tizzy along w WV, please allow me to apologize to you also. Precisely. :o

USAZR1 08-02-2014 06:30 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by XfireZ51 (Post 208574)
I installed 3.73s for mine and when power is transmitted through 19" wheels, acts like a 3.55. I would be tempted to try 3.90s

And our car has even taller rear tires than Dom,although not by a whole lot. Our 94 has 335/30/19 rears with 4.10 cogs. I like it.

No apology needed on this end,Dom. I understood completely what you were trying to say.

WVZR-1 08-02-2014 09:55 PM

Re: 4.10 gears...not what I expected.
 
Some 'real' information I believe. Dominic, I'll use your ratio and tires as an example. If you had 3.73 gears and your 315/35R17 tires and were 'happy' you need to be concerned about not your losses but rather what you need to do to compensate for the increased tire that you added or you just disregard it and don't worry.

I'll use that for a start. I picked a MPH # because one is need to start from so I chose 60 MPH and 4th gear. I always use 1:1 regardless of the transmission. A 3.73 @ 60 MPH I got 2960 RPM by this:

60 X 3.73 X 336/25.4 (the 25.4 I used from a dimension I measured with my BFG 315/35R17's many years ago) I did NOT use the advertised diameter. That skews the results which BTW I believe the charts earlier in this thread are based off advertised numbers and not real dimensions that we can measure. Those #'s are close but NOT correct.

Now when you add the tire that you mention measuring 26.25 (in this thread) I get an RPM value of 2864:

60 X 3.73 X 336/26.25

Now to get your 'performance' back you need to add gear and since we know the various ratios available for the D44-HD it's easier to experiment using available ratios substituted into the formula.

60 X 3.90 X 336/26.25 = 2995 so you've got it all back with that gear change + very few RPMs.

If a person had 4.10's with 315/35R17 and was 'happy' then these #'s if they made the same tire change would be required.

60 X 4.10 X 336/25.4 = 3254 RPM (315's)

60 X 4.10 X 336/26.25 = 3148 RPM (26.25 measured)

The add required using available ratios:

60 X 4.30 X336/26.25 = 3302 so you've got it all back again + a few more RPMs.

These were very straight forward and it's much easier using 'known' available ratios to calculate recovery.

With your particular tire choice the 'loss' if you wanted to only be concerned with the loss is 3%. 25.4/26.25 = .96761 so the 3.45 becomes 3.34 and the 3.73 would become 3.61 or so.

Done in this fashion also to calculate the new ratio 25.4 (original tire) X 3.73 (axle ratio)/ 26.25 (new tire) = 3.6092

You could confirm those numbers I'd think by checking RPMs with an accurate tach and not the cluster component.

Every tire needs to be measured at the pressures you will intend to use and dimensions will vary for various brands.

I believe my math will stand the test. I hope or I've made a much larger A$$ of myself. There are calculators out there that likely will confirm these numbers or very close. The one I posted way back in this thread should work I believe.

This is where I got the dimensions that I used for your 19's.

Quote:

Originally Posted by XfireZ51 (Post 204640)
I have 19s on the back. The fronts are 18s. Just measured the rears sitting there w ~ 35psi, they stand at 26.25". Size is 325/30/19. These are the Nitto Invos which I like quite a bit. Good wet, fairly quiet, and grab pretty well on hard shifts.


Dynomite 08-02-2014 11:07 PM

Re: 4.10 gears...not what I expected.
 
When you boys are talking gear ratios to determine vehicle speed.........you should use Tire Deflected Radius.....which by the way varies with tire rotation speed just a bit. And obviously varies with tire inflation pressure. Tire Deflected Radius is the distance from the center of the wheel to the pavement.

Tech Info - ZR1 Differential Gearing and Vehicle Speed Calculations

Some more Calculations for you as your interests vary ;)

CALCULATION METHODS
1/4 mile Calculator TIPS
Gear calculator TIPS
Wheel Offset Calculator
Automotive Calculators
Tech Info - LT5 Horsepower and Torque Calculations
Tech Info - ZR1 Differential Gearing and Vehicle Speed Calculations
Tech Info - ZR1 Wind Force, Rolling Resistance, Drivetrain Loss Calculations
Tech Info - LT5 Camshaft Timing Calculations
Tech Info - LT5 Pressure Drop In Oil Lines Calculations
Tech Info - LT5 RC SL4-205 injectors (500+ hp) Calculations
Tech Info - LT5 Summary of Camshaft Timing from Start to Finish
Tech Info - LT5 Timing Diagrams
Tech Info - L98 Frisbee Horsepower
Tech Info - LT5 Coolant Flow Calculations

WVZR-1 08-02-2014 11:17 PM

Re: 4.10 gears...not what I expected.
 
I thought I'd keep this in a different post but you should be able to calculate your actual tire diameter using a formula also OR maybe just use it to confirm your measurements. Tach would need to be very accurate.

MPH X gear ratio X 336 / RPM

In the above 60 MPH X 3.45 X 336 / 2960 = 25.4 (a match to what I measured years ago) and Dominic's 60 X 3.73 X 336 / 2864 = 26.25 (what Dominic mentioned measuring)

Clint, you could use this formula with your tires already mounted and measure to confirm.

Cliff - I'm guessing my numbers maybe passed your test.

Hog 08-03-2014 10:09 AM

Re: 4.10 gears...not what I expected.
 
Just some general observations about the last couple pages

After a few burnouts all these numbers go out the window, esp. on soft tires. Then factor in tire growth due to the centripetal/centrifugal force changes at speed, tire pressure while driving, the effects of wheel alignment on tire heating, type of gas the tire is inflated, plus the manufacturing tolerances of the tires themselves, even tread squirm could be thrown into the convo.

This why there is a "fudge factor" built into any modern ABS or stability system. Accuracy has its place.

IMO If you are going to go through the trouble of a ring/pinion change, you might as well make it worthwhile.

The usual course of engine modification will move the power/torque corves to the right oi the graph, with highly modified engine making less torque at lower rpms. This would necessitate lower gearing to allow for driving below the torque.
More power=more revs(N/A)=more gear (all else equal)

Paul Workman 08-03-2014 11:06 AM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by WVZR-1 (Post 208654)
Some 'real' information I believe. Dominic, I'll use your ratio and tires as an example. If you had 3.73 gears and your 315/35R17 tires and were 'happy' you need to be concerned about not your losses but rather what you need to do to compensate for the increased tire that you added or you just disregard it and don't worry.

I'll use that for a start. I picked a MPH # because one is need to start from so I chose 60 MPH and 4th gear. I always use 1:1 regardless of the transmission. A 3.73 @ 60 MPH I got 2960 RPM by this:

60 X 3.73 X 336/25.4 (the 25.4 I used from a dimension I measured with my BFG 315/35R17's many years ago) I did NOT use the advertised diameter. That skews the results which BTW I believe the charts earlier in this thread are based off advertised numbers and not real dimensions that we can measure. Those #'s are close but NOT correct.

Now when you add the tire that you mention measuring 26.25 (in this thread) I get an RPM value of 2864:

60 X 3.73 X 336/26.25

Now to get your 'performance' back you need to add gear and since we know the various ratios available for the D44-HD it's easier to experiment using available ratios substituted into the formula.

60 X 3.90 X 336/26.25 = 2995 so you've got it all back with that gear change + very few RPMs.

If a person had 4.10's with 315/35R17 and was 'happy' then these #'s if they made the same tire change would be required.

60 X 4.10 X 336/25.4 = 3254 RPM (315's)

60 X 4.10 X 336/26.25 = 3148 RPM (26.25 measured)

The add required using available ratios:

60 X 4.30 X336/26.25 = 3302 so you've got it all back again + a few more RPMs.

These were very straight forward and it's much easier using 'known' available ratios to calculate recovery.

With your particular tire choice the 'loss' if you wanted to only be concerned with the loss is 3%. 25.4/26.25 = .96761 so the 3.45 becomes 3.34 and the 3.73 would become 3.61 or so.

Done in this fashion also to calculate the new ratio 25.4 (original tire) X 3.73 (axle ratio)/ 26.25 (new tire) = 3.6092

You could confirm those numbers I'd think by checking RPMs with an accurate tach and not the cluster component.

Every tire needs to be measured at the pressures you will intend to use and dimensions will vary for various brands.

I believe my math will stand the test. I hope or I've made a much larger A$$ of myself. There are calculators out there that likely will confirm these numbers or very close. The one I posted way back in this thread should work I believe.

This is where I got the dimensions that I used for your 19's.

_________________

Yikes!

"If you can't explain it simply, you don't understand it well enough." - Albert Einstein

(This discussion has veered off-topic, but since we're here now...)

Ratios.

No matter how you slice it, the root to questions regarding the effect on differential gears, speed, rpm, or any other equivalents resides in the ratio of one tire size to the other. Period.

Depending on the question, there may be a direct ratio relationship, or an inverse (i.e, 1/ratio) relationship, but regardless, that ratio between tire sizes permeates all calculations regarding differences in gear ratios, or distance covered per tire rotation, or rpm, or you name it.

For example: If speed over the ground and engine rpm are to remain constant, then the differential reduction ratio (ring/pinion) must be changed by the same ratio as that between the two tires. Otherwise, either speed over the ground will change for a given motor RPM, or RPM will change for a given speed.

Or, for an opposite example, to find the equivalent differential reduction ratio value resulting from a change of tire size, the inverse (1/RATIO) x differential reduction gear ratio will produce the effective equivalent rear end gear ratio (as well as the ratio correction required for the new speedo gear.

And, so it goes... (Well, almost. Practical applications typically have dynamic variables which skew results. Variables like Hog points out and many other practical bits and pieces get in to increase the ambiguity factor. But, as long as we can account for some of of the small dribbs and drabbs, and the ambiguity doesn't exceed say 5%, it should suffice for purpose of discussion, I should think.)

Hog: Good points as well.

But back to the OP's question: What are the real trade-offs between say the 4.10s vs. stock 3.45s in actual driving or racing situations??


:cheers:

WV: I must be staring right at it but do not see: where is that "336" factor you use in your calc's derived from?

XfireZ51 08-03-2014 12:25 PM

Re: 4.10 gears...not what I expected.
 
Dave,

Actually we had a very similar thread several years ago here for anyone interested in referring back to it.

http://zr1.net/forum/showthread.php?...ear+axle+ratio

And I in fact did what you suggested, which was to use the stock 3.45 trans gear
With the 3.73 rear gear. Based on my GPS v Speedo, I get ~ 4% error! with the speedo reading slower. Good enough for cruising. Some of the specs are in that thread.

WVZR-1 08-03-2014 12:27 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Paul Workman (Post 208700)
_________________


WV: I must be staring right at it but do not see: where is that "336" factor you use in your calc's derived from?

Why the 'fine print?

I've used the 336 number for years and I don't know where I got the formula for it originally but there's explanations and the formula scattered about of all places "The Internet".

I found this explanation since you asked your question and it seems pretty concise and easily understood too, I'll just post the link. I believe it should work. Regarding explaining it 'simply'? I thought I did. Understanding it? Yes I do.

There are calculators that are used by many that aren't accurate and I just displayed my math, that doesn't have anything to do with understanding or simply. There are some RPM/MPH charts in this thread and all use 'advertised' tire specifications and not a 'loaded radius' it appears. I couldn't make the numbers match unless I used the 'advertised' dimensions.

http://www.numericana.com/answer/formula.htm#carspeed

WVZR-1 08-03-2014 12:45 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by XfireZ51 (Post 208706)
Dave,

Actually we had a very similar thread several years ago here for anyone interested in referring back to it.

http://zr1.net/forum/showthread.php?...ear+axle+ratio

And I in fact did what you suggested, which was to use the stock 3.45 trans gear
With the 3.73 rear gear. Based on my GPS v Speedo, I get ~ 4% error! with the speedo reading slower. Good enough for cruising. Some of the specs are in that thread.

I recall bits of that and I mentioned a couple calculators in that thread because it seemed at the time it was easier for people to understand rather than doing the math on responses to avoid responses similar to Paul's. It appears to be complicated but after a few goes at them it's not that difficult.

I did speedometer calibrations for people to take to court and attempt to get fines and charges reduced to improper equipment etc. back in the day. I had to 'introduce' the error that we're attempting to correct these days. I don't recall any of my calibrations failing the person except a couple occasions where the person asked for an error that just wasn't likely accomplished.

I did the calibration, the buyer went to an approved certification station and of course there was an error, the person reinstalled the correct parts OR we actually corrected the error, the person returned to the certification station they certified the correction and the receipt for services went to court. Charges usually dismissed, occasionally if the JP/Judge suspected the tampering there was an improper equipment citation issued which had no points and a very low fine.

All the math was done on paper and changes sometimes by trial and error.

Fully Vetted 08-08-2014 08:36 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Paul Workman (Post 208700)

"If you can't explain it simply, you don't understand it well enough." - Albert Einstein

LMAO. That's funny...

I did go from the stock 17' A molds to an 18" Shelby but I made sure the overall diameter was the same (or at least very close). I've always assumed that was a determining factor. I guess I was right...

Harvie 09-13-2014 12:44 PM

Re: 4.10 gears...not what I expected.
 
Our testing, years ago, with a modified ZF trans gears (to keep the drop between shifts in the engines peak power band) and with higher horsepower engines the 391 ratio was the one that got to the finish line first.

We attempted to get the trans ratios to where we had five gears instead of 4 plus 2 overdrives, that worked real well. REEEEEEAL EXPENSIVE

Look up Gforce and look at the transmission ratios Leo makes for an example of what can be done to the ZF it money is no problem.

Paul Workman 09-13-2014 03:14 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Harvie (Post 212158)
Our testing, years ago, with a modified ZF trans gears (to keep the drop between shifts in the engines peak power band) and with higher horsepower engines the 391 ratio was the one that got to the finish line first.

We attempted to get the trans ratios to where we had five gears instead of 4 plus 2 overdrives, that worked real well. REEEEEEAL EXPENSIVE

Look up Gforce and look at the transmission ratios Leo makes for an example of
what can be done to the ZF it money is no problem.

Harvie,
Did that test include stock 375 or 405 hp or (??) cars?

Paul.

Harvie 09-13-2014 03:39 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Paul Workman (Post 212173)
Harvie,
Did that test include stock 375 or 405 hp or (??) cars?

Paul.

To quote the moderator

No I "hacked up" everything and motor I played with, christ my lt1 70 car (350-370hp stock) had a 425 hp small block so I thought the lt5 GM hp numbers were pathetic, the 650 number Lotus had made me curious.

We just never cut a hood open inorder to straighten out the intake air flow to get to their numbers. Did everything else, though.

Paul Workman 09-13-2014 05:15 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Harvie (Post 212176)
To quote the moderator

No I "hacked up" everything and motor I played with, christ my lt1 70 car (350-370hp stock) had a 425 hp small block so I thought the lt5 GM hp numbers were pathetic, the 650 number Lotus had made me curious.

We just never cut a hood open inorder to straighten out the intake air flow to get to their numbers. Did everything else, though.

Um, yeah...425 hp NET or GROSS?

Harvie 09-13-2014 08:34 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Paul Workman (Post 212181)
Um, yeah...425 hp NET or GROSS?

All the HP figures are from the same dyno, min of 5 pulls. We tested a straight out of a car LT5 and got max between 372-380HP and the 1970 based full roller motor LT1 at 423-428HP. Both GM 350 small block engines.

We always started with baseline runs to see how much GM fudged the numbers for insurance purposes. Common practice...

So I would call those numbers for both engines net at the flywheels.

When the ZR1s were introduced the LT5 option alone was $35,000.00 and there were no aftermarket engine parts for the LT5.

I still have one of the first sets of JLs lightweight pistons in my cabinet. I have I believe 2 different sets of cams because we were testing for max lift limits/spring pressure ranges. Airflow was always the restriction that limited the output.

When I started fooling around with them Lingenfelter charged $16,000 to build a motor from a new engine and Calloway was at $14,500.00.

Now guys buy their entire cars for that.

I always wonder how many of the current owners would have one, then try and modify it, if they had to pay 80K for them. even in the lower current usds.

Kevin 09-13-2014 08:37 PM

Re: 4.10 gears...not what I expected.
 
Did callaway charge you extra because you spell their name wrong?

Harvie 09-13-2014 09:19 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Kevin (Post 212192)
Did callaway charge you extra because you spell their name wrong?

Driving back and forth from New Lime CT to drop off/pick up the motor was fun but, no they gave me a discount becaue it only lasted about 400 miles before it needed rebuilding.

You buy a motor from them also or just curious?

Oh I forgot, that would be hacking up your car, sorry for asking....mate

Kevin 09-13-2014 09:32 PM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by Harvie (Post 212201)
Driving back and forth from New Lime CT to drop off/pick up the motor was fun but, no they gave me a discount becaue it only lasted about 400 miles before it needed rebuilding.

You buy a motor from them also or just curious?

Oh I forgot, that would be hacking up your car, sorry for asking....mate

Didn't buy anything from them, too broke to. m8

Bob Eyres 09-14-2014 10:27 AM

Re: 4.10 gears...not what I expected.
 
Quote:

Originally Posted by KILLSHOTS (Post 203395)
Picked up the car yesterday after having the stock 3.45 changed to 4.10 Danas. It appears that I am a victim of my own inflated expectations. After hearing the accolades and reading on this forum a post from a guy who literally said he practically had to "relearn to drive the car" after getting 4.10s, I guess I expected the car to take flight or something. Hmmm, not quite. Yeah, I can tell a small difference but I'd be willing to bet the car is no quicker to a stopwatch, which is kind of a bitter pill to swallow when I just spent $1500 to get "18% more torque to the rear wheels at all engine RPM", according to Marc.

Driving the 2 ratios back to back, I don't feel any 18% torque difference. Not even close. And yes, I did confirm that the stock 3.45s came out of the car. I can say this for sure: if your car is stock or near stock and you're thinking about new gears, DO NOT do anything less than 4.10s. You'd be flushing money down the toilet. Just my 2 cents. :)

It's interesting to look back at the months of discussion about the minutia of gear ration selection and tire sizes, and see that Chris is right. And that his final assessment, that 4.10 gears are the minimum numerical change recommended for noticeable performance improvement in a stock, or near stock, ZR-1, hold up pretty well.

ZR1North 10-31-2016 11:40 AM

Re: 4.10 gears...not what I expected.
 
I've read this threat several times. Thanks for starting it, Chris, and for everyone for the usual informative contributions. Now, for something a little different....

I'll start with my reason for adding - I have a whole new respect for the economy-performance balance of our ZR-1s having just driven my '16 Z06 from Michigan to Florida to extend its use when I am there on-and-off over the winter (gotta get some miles on it while warranty is still in effect).

My '91 ZR-1 has 4:10s and Marc's 510 pkg (sans the SM flywheel, so it's really 490hp). My first drive with the pkg. was Mountain Run 2015, and I noticed two key things - 1) having the 4:10s made the run through the mountains a whole lot better than what I experienced road racing it previously with the 3:45s (to Paul Workman's point in an earlier post); 2) having a useful 6th gear on the freeway made cruising a great experience from a drivability and economy perspective (I made 24 MPG highway on the trip) running @ 75MPH revving at 2K RPM. I found that I was able to accelerate around traffic in 6th quite easily; previously I was constantly downshifting to 5th to do so.

Fast forward to my trip this weekend in the Z06. After I got 1,000 miles on it, I started to experiment with various modes. I noticed that when I switched it to "Eco" mode and the computer switched the engine to "V4" for fuel economy, I was getting about 34 MPG, but that was only on flat surfaces running @ 75 MPH in 7th gear on cruise (RPM were 1,500). When I encountered a grade, it switched to "V8" mode and the MPG dropped to 22-29 range (instantaneous computer calculations). Overall, I averaged 27 MPG, mostly in 7th gear @ 1,500. When I shifted to 6th for passing, RPM jumped to 2,000, but acceleration in 6th was unlike anything I've experienced in anything else I've driven. For comparison, gear ratios in the Z06's Tremec gearbox are: 1st, 2.97; 2nd, 2.07; 3rd, 1.43; 4th, 1.00; 5th .71; 6th, .57; 7th, .48; final drive is 3:42. This compares to our Zees with: 1st, 2.68; 2nd, 1.80; 3rd, 1.29; 4th, 1.0; 5th, .75; 6th, .5 - my final drive now is 4:10.

All that to say, even with 30 years of technological advancement, our Zees are still pretty respectable in terms of performance and economy when upgraded. As for the 4:10 vs "other ratios", I wouldn't change my decision to switch to the 4:10s, but I am more of a road racer than a drag racer. I ran the NCM track in May, and as with the MR in 2015, I found the combination fantastic on both the slow corners and fast straightaways. I think it's a great combination for highway and road racing and while I haven't drag raced the car, I think what I've read here would not cause me to change from the 4:10 for the odd drag run.

FANTASTIC THREAD!

Bob


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