Notices
General Miata Chat A place to talk about anything Miata

Mechanical engineers: help me calculate stuff.

Old Dec 11, 2014 | 09:35 PM
  #1  
Joe Perez's Avatar
Thread Starter
Boost Pope
iTrader: (8)
 
Joined: Sep 2005
Posts: 34,402
Total Cats: 7,523
From: Chicago. (The less-murder part.)
Default Mechanical engineers: help me calculate stuff.

Such as how much HP does it take to move an NA down the highway at a constant 50 MPH on level ground, assuming ordinary all-season tires in the ~195 width range.

With the top up / down?

With the headlights up / down?

What about 65 MPH?

Etc.
Old Dec 11, 2014 | 10:09 PM
  #2  
my90's Avatar
Junior Member
 
Joined: Nov 2007
Posts: 53
Total Cats: 2
From: Monterey Bay area
Default

Is this what you are looking for ?
Calculate HP For Speed
and
Part 6: Speed and Horsepower
Old Dec 11, 2014 | 10:15 PM
  #3  
Padlock's Avatar
Senior Member
 
Joined: Jul 2014
Posts: 1,407
Total Cats: 760
From: Milwaukee, WI
Default

It all depends on the coefficient of drag on the car, which can be then converted into a force, which can then be converted into power/torque

so unless someone has the experimental C_d values for what your looking for from full scale model testing, then your guess is as good as mine. Even then its going to differ from real-world results

I mean, how accurate of an answer are you looking for?
Old Dec 11, 2014 | 10:18 PM
  #4  
curly's Avatar
Cpt. Slow
iTrader: (25)
 
Joined: Oct 2005
Posts: 15,197
Total Cats: 1,398
From: Oregon City, OR
Default

Doesn't MS have a HP readout given the required sensor inputs? I feel like dataloging that once its calibrated would give the best answer for your brake drag, bearing condition, headlight gaps, etc etc
Old Dec 11, 2014 | 10:22 PM
  #5  
DNMakinson's Avatar
Elite Member
iTrader: (3)
 
Joined: Jan 2013
Posts: 5,030
Total Cats: 861
From: Seneca, SC
Default

Whoever wrote Virtual Dyno assembled all that. His documentation and possibly the program has it in it.
Old Dec 11, 2014 | 10:28 PM
  #6  
Padlock's Avatar
Senior Member
 
Joined: Jul 2014
Posts: 1,407
Total Cats: 760
From: Milwaukee, WI
Default

this calculator has the basic necessities included on an accurate estimation

Aerodynamic & rolling resistance, power & MPG calculator - EcoModder.com
Old Dec 11, 2014 | 10:42 PM
  #7  
Padlock's Avatar
Senior Member
 
Joined: Jul 2014
Posts: 1,407
Total Cats: 760
From: Milwaukee, WI
Default

Originally Posted by curly
Doesn't MS have a HP readout given the required sensor inputs? I feel like dataloging that once its calibrated would give the best answer for your brake drag, bearing condition, headlight gaps, etc etc
The problem with this is that yes you theoretically should be able to estimate the power the car MAKES given the sensor inputs/outputs, but this doesnt tell you the power the car NEEDS to go that speed.

Drag Force = .5 * Drag Coefficient * Velocity^2 * Frontal Area * Air Density

^this can be converted to power fairly easily if all the variables are known

Estimated Engine HP based off MS = some complex function of the sensors given calibration is accurate. The uncertainty in this I'd imagine would be pretty high, but then again it should give you a ballpark
Old Dec 11, 2014 | 10:53 PM
  #8  
cordycord's Avatar
Elite Member
iTrader: (2)
 
Joined: Dec 2011
Posts: 3,399
Total Cats: 560
From: SoCal
Default

Originally Posted by Joe Perez
Such as how much HP does it take to move an NA down the highway at a constant 50 MPH on level ground, assuming ordinary all-season tires in the ~195 width range.

With the top up / down?

With the headlights up / down?

What about 65 MPH?

Etc.
Vehicle Coefficient of Drag List - EcoModder

Calculate HP For Speed

Top down drag coefficient is .46, which means that 50mph takes 10.9 hp
Top up drag coefficient of .38 means 50mph takes 9.69 hp
Old Dec 11, 2014 | 11:09 PM
  #9  
Leafy's Avatar
Elite Member
iTrader: (1)
 
Joined: Jun 2012
Posts: 9,491
Total Cats: 105
From: NH
Default

Originally Posted by DNMakinson
Whoever wrote Virtual Dyno assembled all that. His documentation and possibly the program has it in it.
That algorithm relies on acceleration. You can get the drag force empirically by doing a cost down test from 80 to 60mph and then get the rolling friction force by doing a coast down test from below 40 to like 10 mph. And thats just some math. And once you have that you can do your calculations on the horsepower required.
Old Dec 12, 2014 | 12:38 AM
  #10  
chewy's Avatar
Newb
 
Joined: Apr 2010
Posts: 31
Total Cats: 0
From: Dallas Texas
Default

I love this thread already.
Old Dec 12, 2014 | 01:28 AM
  #11  
Schuyler's Avatar
Senior Member
iTrader: (1)
 
Joined: Apr 2011
Posts: 1,332
Total Cats: 87
From: Columbia, SC
Default

Originally Posted by Leafy
That algorithm relies on acceleration. You can get the drag force empirically by doing a cost down test from 80 to 60mph and then get the rolling friction force by doing a coast down test from below 40 to like 10 mph. And thats just some math. And once you have that you can do your calculations on the horsepower required.
lol.

Name:  O0lotU3.jpg
Views: 72
Size:  840.0 KB
EDIT: For the record, I did not write the paragraph seen there using the word "ration"
Old Dec 12, 2014 | 08:10 AM
  #12  
Braineack's Avatar
Boost Czar
iTrader: (62)
 
Joined: May 2005
Posts: 80,552
Total Cats: 4,368
From: Chantilly, VA
Default

the mpgs in my WRX drop significantly when cruising above 60mph compared to cruising at 55mph behind a big truck.

hope that helps.

“( ͡° ͜ʖ ͡°)”
Old Dec 12, 2014 | 09:15 AM
  #13  
DNMakinson's Avatar
Elite Member
iTrader: (3)
 
Joined: Jan 2013
Posts: 5,030
Total Cats: 861
From: Seneca, SC
Default



Note Frontal Area and Cd. VD includes drag.

Anyway, there is the info for a NB. I don't know where to find lights up / lights down. CC gave you top up and top down.
Attached Thumbnails Mechanical engineers: help me calculate stuff.-vd_input.png  
Old Dec 12, 2014 | 04:29 PM
  #14  
nitrodann's Avatar
Elite Member
 
Joined: Apr 2010
Posts: 2,826
Total Cats: 66
From: Newcastle, Australia
Default

It would be FAR easier and better to do some logs then hire a dyno for an hour.

Dann
Old Dec 17, 2014 | 12:23 PM
  #15  
Rallas's Avatar
Senior Member
iTrader: (9)
 
Joined: Oct 2006
Posts: 1,176
Total Cats: 36
From: Lexington SC
Default

I remember that class!

Originally Posted by Schuyler
lol.


EDIT: For the record, I did not write the paragraph seen there using the word "ration"
Old Dec 17, 2014 | 03:14 PM
  #16  
Dustin1824's Avatar
Junior Member
iTrader: (2)
 
Joined: May 2014
Posts: 342
Total Cats: 42
From: Arlington, TX
Default

Originally Posted by Leafy
That algorithm relies on acceleration. You can get the drag force empirically by doing a cost down test from 80 to 60mph and then get the rolling friction force by doing a coast down test from below 40 to like 10 mph. And thats just some math. And once you have that you can do your calculations on the horsepower required.
^This. What Leafy describes is basically a SAE test to determine the rolling resistance as well as the drag force, but with a slight deviation.

The TL;DR process is in red.

For the rolling resistance, hook a force gauge up to a strap that is connected to the front tie down hooks. Pull the car from a stop using the force gauge, as close to parallel to the ground as possible. This has to be done on a smooth surface that is level. At a steady 1mph or so, record the steady state force reading, just make sure that you are not accelerating or slowing down, this will greatly affect the readings. This is your rolling resistance in Lbs.

Perform a coast down test at a relatively high speed, such as 70-40mph. Knowing the weight of the car as well as the frontal area and other parameters, subtract the rolling resistance from the resistance calculated from the high speed tests, this will tell you the aero drag force, and from this you can find the coefficient of drag.

Using the information above with the calculations you guys posted, you can find out approximately how much HP is needed to go a certain speed.

Keep in mind, when you find this HP rating, this is the raw HP needed to accomplish this speed, it does not take any driveline or other losses into account. So if you are doing some project like trying to do a EV conversion and want to know how powerful the motor needs to be to achieve a certain speed, take a conservative estimate of the losses and go from there.

Long winded, but hope this helps.
Old Dec 17, 2014 | 04:23 PM
  #17  
y8s's Avatar
y8s
DEI liberal femininity
iTrader: (8)
 
Joined: Jun 2005
Posts: 19,338
Total Cats: 574
From: Fake Virginia
Default

why can't we just get a REALLY LONG inclined road of known angle and let the car coast to terminal velocity?
Old Dec 17, 2014 | 04:27 PM
  #18  
Leafy's Avatar
Elite Member
iTrader: (1)
 
Joined: Jun 2012
Posts: 9,491
Total Cats: 105
From: NH
Default

Originally Posted by y8s
why can't we just get a REALLY LONG inclined road of known angle and let the car coast to terminal velocity?
with frictionless rollers on it in a perfect vacuum at absolute zero?
Old Dec 17, 2014 | 04:43 PM
  #19  
carbon's Avatar
Junior Member
iTrader: (1)
 
Joined: Sep 2013
Posts: 187
Total Cats: 11
Default

Originally Posted by Leafy
with frictionless rollers on it in a perfect vacuum at absolute zero?
Simple. Build a road at Mt. Everest Peak down to the bottom with a run off road and all in a sealed tube to pull a vacuum.

Old Dec 17, 2014 | 04:59 PM
  #20  
nitrodann's Avatar
Elite Member
 
Joined: Apr 2010
Posts: 2,826
Total Cats: 66
From: Newcastle, Australia
Default

Going back to why dont youy just do a log and then use a dyno?

Thread Tools
Search this Thread

All times are GMT -4. The time now is 12:07 PM.