>>Okay, let's figure it out:
>>Let's compare two drivers accelerating out of a 100mph curve on a long
>>straight, topping out at 200mph, but the slower guy is on the gas 50
>>meters later.
>If you're going to figure it out you should compare in reality.
Ah, a scientific challenge. Okay, here we go ...
My example was given for a (very) long straight, were the cars
(nearly) reach top speed, eg. at Spa. This has the advantage of
completely eliminating the real acceleration (which depends on power
curves, grip, gearing, wind drag etc.), about which we do not know
much.
But a top speed of at least 200mph and a maximum acceleration of 1g up
to let's say 120 mph are realistic assumptions.
In this example, you assume constant acceleration, or in other words,
that a GPL F1 car can accel from 193 to 195 mph in the same time as it
can go from 68 to 70 mph, which is, BTW, in 0.09s or within only 2.8
meters, at 1g =9.81 m/s2.
This quick time is very unrealistic for 193 to 195 mph. Just watching
a replay might give a guess. Calculating with a car mass of 600kg,
300kW or 400hp, and a max speed of 200 mph using a simple motion
equation gives only an acceleration of 0.58 m/s2, or 1.5 s to
accomplish it.
(As GPL cars can reach 200 mph on tracks, their real top speed might
be higher: with 220mph, the acceleration at 193mph would be 3 times
better).
At 194mph, the 2 mph advantage would have melted to a speed difference
of 0.58m/s2*0.09s=0.05 m/s, which is roughly 1/9 mph.
So much about your (correct) assumption that "the second car
(slower) will never reach the same speed as the car which accelerated
earlier". But the speed difference is certainly not 2 mph all the
time.
In your example, the unrealistic constant speed difference carried
over the whole straight would add up to 0.5 sec, which is simply
wrong: Calculated with more realistic (but non-relativistic) physics,
it's 0.09s minus the 0.03s needed to travel the 2.8m at 195mph, so it
yields 0.06s or the lenght of a car at the end of the straight, barely
enough to overtake.
BTW: The fast car in my initial example, accelerating with 1g from
100mph, would pass the 50m after 1 sec at 122 mph, while the
non-accelerating car would need approx . 1.1 sec to cruise this
distance at constant 100mph. So, 0.1s gained within the first 50m.
This 22 mph difference in exit speed then adds up to 0.5 sec after a
long straight.
Compared to your example given above, this is much closer to reality.
(The slow guy hits the brakes 357.3 m before turn in to slow down from
200mph to 70mph at -1g, which takes 5.92 sec.
The fast guy passes the 357.3 m brake point at 200 mph, and hits the
brakes 0.08 s later at 350.2 m before turn in to slow down from 200mph
to 75mph at the same -1g, which takes 5.7 sec, and 5.78s overall.
So 0.14 s are gained here. To gain another 0.06s (0.16s) with a
different average speed of 73 to 70 mph lasts 1.4 s (3.7s) within
45.7m (120m) distance from turn-in to apex.)
Okay, good braking in Monza gains 1 second, I agree.
Plus another second from apex to "turn-out", if we apply the
trail-braking example symmetrically for acceleration.
Small different exit speeds on to the two long straights between
Parabolica and Lesmos don't add very much, as I hope to have made
clear (as long as the same car and setup etc. is used, no wheelspin).
So, were are the other 2 or 6 seconds that are between a 1.27 and my
1.31 to 1.35 laps in the Eagle?
Speed in Curva Grande and Ascari? (Too tired to figure that out now).
Bad gearing setup giving bad acceleration? Not with setups from
hotlaps, as long as I 'm in the right gear.
But 8 seconds behind, as 1.35 used to be my best for a long time
(without spinning), so I must have been braking like on ice, and waaay
too soon?
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I 500\_____ 1977' Yamaha XT.Rex 500 Enduro
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