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BMW 3-Series (E90 E92) Forum > E90 / E92 / E93 3-series Technical Forums > Tracking, Autocrossing, Dragstrip, Driving Techniques > Anyone know how 2 calculate speed at a given distance based on horsepower and weight?



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      06-04-2009, 11:46 PM   #1
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Question Anyone know how 2 calculate speed at a given distance based on horsepower and weight?

I exhausted the search button and can't find any thing so I figure one of you may be able to help.

Example: If a car weighing 3,000 lbs with an output of 140 horsepower accelerates under full throttle from a stop to a distance of 300 feet at what speed will they be traveling?

I know this could get very complicated with torque, hp, power bands, driver mod, tires, etc, but I am simply looking for a formula utilizing only the given knowledge.

Thanks in advance guys.
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      06-05-2009, 08:31 AM   #2
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Here's what I think:

You don't have enough info because you need the RPM of the wheel if you're measuring hp at the wheel
Tq = 5250 * hp / RPM
If you measure torque directly you can skip this step and assume constant torque (totally unrealistic):

Then
F = Tq / (wheel radius)

Then
a = F / m

And
(distance) = 0.5 * a * t^2

Solve for time and put into
v = a * t

Make sure your units are consistent (i.e. lbf vs. lbm)

I took my PE exam last month and already forgot most of the stuff...but the bottom line is you don't have enough info.
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      06-05-2009, 09:29 AM   #3
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Choice D: Not enough information.

You'd need friction coefficients and drag coeffiecients, and a dyno so we actually knew how much power you were putting to the wheels per rpm.
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      06-05-2009, 11:06 AM   #4
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drive ratio's and tire size
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      06-06-2009, 12:04 PM   #5
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I believe this link will have all of the necessary information, I cannot put the car on a dyno because I do not have one. I am curious because the rate at which this car can accelerate is pertinent to a legal issue, and before I pay an expert to make an evaluation I would like a ball park figure. The car is an automatic so the top set of gear ratios is correct.

*Note add 500 pounds to the weight of the car for passengers/cargo.

http://lasvegascars.vehix.com/invent...5F00000002372F

Thanks.
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      06-06-2009, 12:52 PM   #6
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so go to the track. fixed.
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      06-06-2009, 01:50 PM   #7
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Here's one that calculates the 1/4 mile trap time.

http://robrobinette.com/et.htm
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      06-06-2009, 07:40 PM   #8
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Quote:
Originally Posted by thread killer View Post
so go to the track. fixed.
I cannot go to the track because I do not have the car. it was totaled in an accident five years ago.
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      06-06-2009, 08:13 PM   #9
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well then your shoot outta luck then arnt ya.
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      06-11-2009, 05:54 PM   #10
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Quote:
Originally Posted by thread killer View Post
well then your shoot outta luck then arnt ya.
Congrats, you have officially lived up to your moniker I hope your proud of yourself.
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      06-11-2009, 10:30 PM   #11
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no boss, you mucked up your own thread by asking a question that CANT be answered with the statement you provided.



example:

"hey guys, could you tell me how fast a tire RPM is when it goes at 60 mph"


what are we talking about here? a 235/45/17 or a 38x15.50x15 super swamper?
your ]missing[ something.



and just a *wild* guess with a chevy cavalier with a quad4 and a auto...... 17-18ish in the quarter.
300 feet i would *estimate* about 35-45 mph. a 17ish 1/4 would be about 60ish MPH in the 1/8th......
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