RS4 v's RS5

4.2 V8 32v Naturally Aspirated - 414 bhp
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ArthurPE
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Post by ArthurPE » Wed Nov 10, 2010 3:49 pm

it's all about engine torque
no such thing as 'torque at the wheels', that is thrust, linear, not radial T = F cross r, thrust = T x gearing / tire radius)
obviously less losses and 'as delivered' thrust to the wheels

HP is a derived number
torque is a physical variable, a force, discussing anything but torque is pointless...no engineer uses HP in calculations for acceleration

it's like trying to determine current flow from KW-Hr without knowing the time duration...impossible

P = T x w (w = 2 Pi n, n = rev/sec engine speed)
in HP and lb ft: T = HP x 5252/rpm
5252 = 550 ft lb/sec x 60 sec/min / 2 Pi

take an F1 car ;)
it spins at 18000 rpm (300 rev/sec)
there is a huge difference betwen 250 lb ft at 6000 rpm and at 18000 rpm
if you know the torque you know everything
if you know HP, you need the rpm

again, no magic, only physics
the GTR is exactly as fast (as I have shown, btw, gearing is factored in, and tire radius is ~ the same so can be ignored since thrust (lb force) = gear ratio x T/tire radius) as one who understands these things would 'expect', I prefer estimate or calculate

as shown above, it is physically impossible to double the HP and not double the torque for any given rpm, that is plain silly

adsgreen wrote:It's not much to do with the engine torque - torque at the wheels is all that counts and thats always better with bhp rather than torque.
Toruqe is largely irrelevant for performance driving - a car with more HP accross the power band for gearing will always be able to go faster than a car with less hp and more torque. Now I know power is a function of torque but massive torque doesn't mean fast.
Take an F1 car - nearly 800-900 bhp and less than 250 lb/ft torque but not what you'd call "slow". Similary, the classic problem with diesels is the large torque and coupled with low power through lack of ability to maintain the power at high revs. This means a longer gearing is required in order to achieve sensible road speeds and as such the all important torque at the wheels is reduced.
Finally, I've had race engines built for other cars using 1.8 rover K series units and once tuned and optimised had much less torque than a standard but double the bhp. With the same geabox the track car was significantly faster even though at no point did it have more torque than the standard one.

There's plenty of other 1.8 tone cars with the same power and torque (or) more than the GTR that are substantually slower.
99% of the performance of the GTR is down to:
1) a very slick DSG gearbox making gear shift times pretty much zero.
2) probably one of the most advanced launch control systems on a road car.
3) surprisingly good aero
My track car is virtually the same 0-60 as the GTR but in gear would noticably gain on it (I have traditional manual).
I'd agree that the car isn't great on the road but on track it doesn't feel half as bad. I guess this is the problem with all cars that spend too much dev time at the ring.
Last edited by ArthurPE on Wed Nov 10, 2010 4:12 pm, edited 1 time in total.

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Post by ArthurPE » Wed Nov 10, 2010 3:54 pm

those calculators are not accurate for FI cars
btw, most are statistically based or curve fit
the good ones require input of the torque curve
if interested, I have a few
why? because of the artificially enhanced or 'boosted' torque curve
if you apply a factor for the avg rise above atm P, then they get closer
similar to the cf adjustment or in racing the 1.5 factor used to adjust for displacement

a 4 liter car running 1/2 atm of boost is essentially a 6 liter output

SR71 wrote:You plug the figures for a 3900lbs car into the LRT formula and you need 560hp to go 120mph.

Go the opposite way and the car should be running 12.6 and 114.

That DSG gearbox is screwing with the coefficients because its so slick.

BTW, the GTR is essentially 2WD until its clever brain shifts torque forward...you watch the torque split as you drive.

GTR versus 997 GT3 RS comparison: http://www.fastestlaps.com/comparisons/ ... 35715.html and the GTR is faster on all but 2 tracks.

Porsche 997 GT2 RS - their fastest car at the Ring has weight distribution 38:62. 10 secs faster than Carrera GT.

Check out Top Gear track times...the GTR times are sandwiched between lightweights....except perhaps the Lambo's: http://www.bbc.co.uk/topgear/show/powerlaps.shtml

But I agree, Audi did not prioritise speed. That being the case, one wonders whether a new gearbox with a funky diff is worth the extra £25K when you aren't going to get anywhere quicker than in your old RS4?

PS: I'll tell you another time when you get a sensation of speed in a 737....when you hit a bird. Major strike this week. Just missed the core.

:wink:

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Post by NorthernBoy » Wed Nov 10, 2010 5:01 pm

ArthurPE wrote:it's all about engine torque
no such thing as 'torque at the wheels', that is thrust, linear, not radial T = F cross r, thrust = T x gearing / tire radius)
obviously less losses and 'as delivered' thrust to the wheels

HP is a derived number
It is no more derived than torque is derived from multiplying force times length. HP is a measure of power, and is directly measurable in a variety of ways. The fact that it can be cheaper/simpler to measure torque and multiply it by RPM in no way means that power is a less fundamental quantity, or more derived, than torque is.

You could just as well measure HP using a calorimeter, divide by RPM, and derive torque, and claim that that one was the "derived" figure.

Taking your own example, there's an easy way to see why your argument is wrong.

If you have two 2000kg cars, each at 50m/s, and one has 500bhp/250lb/ft, with the other having 250bhp/500lb/ft, which one is going to accelerate harder from that speed?

Hopefully you know that it's the former, the one with the higher power. The one with bigger torque is, by necessity, going to need to have higher gearing, and this is going to divide down the torque delivered at the rear wheel hub by more than enough that you end up with less there than on the more powerful car.

To turn it into the language of thrust, which you correctly say is the important quantity, the thrust is greater in the more powerful car.

In fact, thrust = power/speed. For a given speed, it is exactly proportional to power, and torque at the crank doesn't even come into the equation.

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Post by lengster1 » Wed Nov 10, 2010 5:06 pm

Ooooh dear i fear a lengthy thread brewing! Every day is a learning day so i will just watch this one i think

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Post by ArthurPE » Wed Nov 10, 2010 5:26 pm

torque is a force, a primary variable, a moment
it is a vector

HP is a scalar quantity, essentially the rate of application of force x distance over a time, magnitude only

F = ma is a fundemental equation
W = F x d, derived from F
P = W/t = (F x d)/t, derived from F, of the second order

power is in no way a 'force' or fundemental variable

using your example if we assume the gear ratio's are the same and the tires are the same we need to know the associated rpm (for T, P and point of analysis)/torque curve to determine which will accelerate faster

car 1 500 HP/250... n = 10504 rpm = 175 rev/sec
car 2 250 HP/500... n = 2626 rpm = 44 rev/sec

both have the same road speed (~112 mph, 164 ft/sec) so gearing is much different
we'll assume a tire OD ~ 2' (makes the math easier), Circ ~ 6.3'

gears for car 1 = 175/(164/6.3) = 6.7:1 overall
car 2 = 44/(164/6.3) = 1.7
a 400% torque multiplication advantage
yes it will be faster because it delivers twice the thrust
if gearing were the same it would be slower
if you shifted a gear in car 2, to an overall ratio of 3.35, which would be faster? the T and P remains the same...
it has a mechancial advantage, not an inherent force advantage
just the opposite, it has a force disadvantage, lower torque

car 1 = 250 x 6.7 / 1 = 1675 lb (thrust)
car 2 = 500 x 1.7 /1 = 850 lb (thrust)
twice as much
now car 2 is shifted... 500 x 3.35 / 1 ~ 1675 lb...hmmm, now we're as fast...yet no change in 'power', car 1 will be left in the dust if we drop another gear, lol
it's a 'rigged' example...make the gearing the same and see what happens ;)
then more torque = faster...
obviously a race car is faster than a tractor, 10k rpm vs 2.6 k rpm...plus much higher gearing

power tells you nothing...without rpm or gearing, all being the same the car with higher torque will be faster

try sizing a motor to drive a load without using torque

you are complicating the matter
of course thrust (or torque x gearing) = power/speed
since power = T x speed (in essence speed = rpm/gearing)
then thrust (or T) = (T x speed)/speed = T, 'speed' cancels
yes T is proportional to itself ;)


NorthernBoy wrote:
ArthurPE wrote:it's all about engine torque
no such thing as 'torque at the wheels', that is thrust, linear, not radial T = F cross r, thrust = T x gearing / tire radius)
obviously less losses and 'as delivered' thrust to the wheels

250 lb ft/500 HP =

HP is a derived number
It is no more derived than torque is derived from multiplying force times length. HP is a measure of power, and is directly measurable in a variety of ways. The fact that it can be cheaper/simpler to measure torque and multiply it by RPM in no way means that power is a less fundamental quantity, or more derived, than torque is.

You could just as well measure HP using a calorimeter, divide by RPM, and derive torque, and claim that that one was the "derived" figure.

Taking your own example, there's an easy way to see why your argument is wrong.

If you have two 2000kg cars, each at 50m/s, and one has 500bhp/250lb/ft, with the other having 250bhp/500lb/ft, which one is going to accelerate harder from that speed?

Hopefully you know that it's the former, the one with the higher power. The one with bigger torque is, by necessity, going to need to have higher gearing, and this is going to divide down the torque delivered at the rear wheel hub by more than enough that you end up with less there than on the more powerful car.

To turn it into the language of thrust, which you correctly say is the important quantity, the thrust is greater in the more powerful car.

In fact, thrust = power/speed. For a given speed, it is exactly proportional to power, and torque at the crank doesn't even come into the equation.

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Post by SR71 » Wed Nov 10, 2010 6:58 pm

Art, if you're denying that a gearbox that shifts in 35msec versus a human that shifts in 0.3 secs doesn't mean you're going to gain advantage over the 1/4, then its pointless arguing with you.

The fact that the car is about a second faster (typically 2 or 3 shifts) than it should be, is explained by that difference, during which the torque applied during shifts drops to, essentially, zero.

A torque curve is a torque curve, whether its generated by a NA or FI car.

My car generates more power and more torque and is lighter than a GTR but a GTR will out-accelerate it because my 01E gearbox will not be rushed.
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Post by SR71 » Wed Nov 10, 2010 7:10 pm

Interesting site:

http://www.torquecurve.com/
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Post by rs4george » Wed Nov 10, 2010 8:05 pm

whats happend to this thread??????
huge maths lessons all round, im getting me coat, cos im thick.
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RS4 Avant in Phantom Black-100 Cell cats, full Miltek. black tips and a remap. (Gone).

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Post by ArthurPE » Wed Nov 10, 2010 8:46 pm

the car is not a second faster
I would expect it to run ~11.8/120
and that's what it pretty much runs

a magazine had a very good comparison of a manul and a DCT (BMW) recently
the difference is no where near 0.3 sec...
you are assuming the car completely stops between shifts
all you do is loose a % of thrust, but the car is still moving forward

and in real world a DCT is worth maybe 5 sec around the Ring...how many shifts there?
50? 100?
let's use 50, that is 0.1 sec...
and my bet a good bit of that is due to not having to move your hands, just stay focused on steering

yes, a torque curve is a torque curve
but a 4 liter engine with no boost, is not the same as one with
hence the factor of 1.5 for racing and correction factors for FI cars are usually 1/2 of those for NA, look at R&T, C&D's etc hand written test sheets

I guess we'll have to agree to disagree :peace:

edit:
tst sheet for a Veyron http://www.caranddriver.com/var/ezflow_ ... 83da08.pdf
upper right hand corner, CF (full/ 1/2), 1/2 is circled becasue the car is turbo'ed

SR71 wrote:Art, if you're denying that a gearbox that shifts in 35msec versus a human that shifts in 0.3 secs doesn't mean you're going to gain advantage over the 1/4, then its pointless arguing with you.

The fact that the car is about a second faster (typically 2 or 3 shifts) than it should be, is explained by that difference, during which the torque applied during shifts drops to, essentially, zero.

A torque curve is a torque curve, whether its generated by a NA or FI car.

My car generates more power and more torque and is lighter than a GTR but a GTR will out-accelerate it because my 01E gearbox will not be rushed.

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Post by SR71 » Wed Nov 10, 2010 10:57 pm

The M3 manual versus DCT 0-60 times differ by 0.2 secs.

Thats one shift and the manual M3 box is pretty good isn't it although I think the RS4 box is even better?

Compared to the box in the B5, I'd think a delta of 0.2-0.3 secs/shift is quite reasonable, so in the 1/4, you're talking about 0.6-0.9 secs of time (dependent on gearing) where the car is coasting.

So I'll work your 50 shifts backwards and call it 10 secs. No idea what it is in reality?

The RS4 versus RS5 argument seems to have degenerated into whether or not a GTR is as fast as one would expect looking at its torque curve!

An engine producing 434 ftlbs of torque whether NA or FI, whats the difference?

What is the CF for?
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Post by adsgreen » Wed Nov 10, 2010 11:41 pm

Ok, lets turn this around. If it's not the gearbox, aero or anything other than pure torque figures that give the car it's performance then nam another 1700kg+ car with under 500 bhp (claimed GTR has 484) that can hit 60 in 3.3 seconds? Surely alot of cars should be able to get close if it was pure torque as there's a fair few with that power and weight.

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Post by ArthurPE » Thu Nov 11, 2010 2:51 am

0-60 is too short, 0-100 or higher would be a better analysis or the 1/4 mile/trap
a better analysis would be avg torque per pound, in fact the only valid one
aero has no real effect until 100+, zilch at 60 mph
0-60 involves only 1 shift, so shift spped has little to do with it
launch control has great effect for such low speeds

if you look at it like this every car of similar torque/lb with similar gearing (so that net thrust is equal) will be ~ the same

again
RS4 at HP peak has ~290 lb ft
GTR at HP peak ~ 390, 35% more
but it's gearing is lower, 4.11 vs 3.70, 90% as much torque multiplication
and it's power band (area under the curve) is 90% as wide
1.35 x 0.90 x 0.90 ~ 1.094 faster (or 0.912 shorter time)

this applies to all cars, not only the GTR

the Porsche 997TT is as fast, same power, more torque, less weight
and after 100 it leaves it behind
Last edited by ArthurPE on Thu Nov 11, 2010 3:01 am, edited 1 time in total.

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Post by ArthurPE » Thu Nov 11, 2010 3:01 am

I've seen DCT times slower also, the net difference is really nothing

0.3 sec is way too high, again, we'll have to agree to disagree

Porsche says PDK is worth ~5 sec
note they don't use it on the GT2 or GT3, must not be the advantage we think it is...

the question is not whether the measured torque of equal magnitude is the same...it's whether the T curve of a 500 HP FI engine can be compared to a 500 HP NA aspirated engine...it can't

look at BMW's 3 liter TT, makes as ~ as much T as the RS4, but yet only 300 HP...from 30% less displacement...


SR71 wrote:The M3 manual versus DCT 0-60 times differ by 0.2 secs.

Thats one shift and the manual M3 box is pretty good isn't it although I think the RS4 box is even better?

Compared to the box in the B5, I'd think a delta of 0.2-0.3 secs/shift is quite reasonable, so in the 1/4, you're talking about 0.6-0.9 secs of time (dependent on gearing) where the car is coasting.

So I'll work your 50 shifts backwards and call it 10 secs. No idea what it is in reality?

The RS4 versus RS5 argument seems to have degenerated into whether or not a GTR is as fast as one would expect looking at its torque curve!

An engine producing 434 ftlbs of torque whether NA or FI, whats the difference?

What is the CF for?

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Post by SR71 » Thu Nov 11, 2010 11:18 am

The faster you/the gearbox shift(s), the faster you get from A to B. No "magic" there.

I think the reason the PDK is not used on the GT3/GT2 is customers didn't want it. I'm not sure what the discernible difference between 997TT owners and the GT series car owners is, but, perhaps they prefer the notion of being in charge of the technology, rather than vice versa. This over and above, maximum speed from A to B.

This is increasingly a "luddites" view, but its a bit like the constant battle in the flightdeck to retain your skill set when surrounded by so much automation.

You want/need it, because, essentially, it is better than you at doing the task, but it doesn't necessarily make you a better pilot.

I'm not sure how many people when buying a 500hp NA car ever expect it to compete with a FI car making similar power! But what they do know is a C63 will use its displacement to compete with a 3.8TT GTR or 997. We're not in a race series here where our displacement is constrained and CF's are needed.

I agree, though, torque/lb for a similar gearing should give the same results.

However, one other fairly important variable is the ability to deploy the torque.

The GTR runs on 255/285 rubber I think and my B5 deploys some Citroen Saxo sized 235 rubber all round. Even my 240ftlbs 2WD A3 can spin the 225 wheels it runs on.

That was one of the great strengths of the B7 because even shuffling the torque around, especially if you ran 275's, you never ran out of mechanical grip.
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Post by victor2vt » Thu Nov 11, 2010 2:16 pm

Did i tell you about this man i met at the bus stop....................................................................
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