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Calculate Aerodynamic Drag and Rolling Resistance with the Auto Dyno Coast Down Calculator

Auto Dyno Coast Down Calculator

Simply record a data run starting with your speed just above 60mph and let your vehicle coast down to 30mph.  Auto Dyno uses this data to calculate your Aerodynamic Drag Cd and your total drag Cda.  This data is also used to calculate your Rolling Resistance.
The Cda is calculated from empirical data
The Cd is calculated using Cda and the vehicle Frontal Area you entered into the Aerodynamic Information box under the Options / Test Run Information drop down menu.
The Coast Down technique measures your Drag Coefficient empirically.  This is more accurate than the vehicle factory specification which commonly removes rear view mirrors, etc before completing this test.  It also accounts for any aerodynamic changes that may have been made to your vehicle including:
  • Lowering
  • Larger Wheels / Tires
  • Body / Aero Kits
  • Wings / Spoilers
  • Convertible Top Down Vs Up
Your Rolling Coefficient needs to be measured as well to insure accurate HP/TQ data.  
After you have calculated your Aerodynamic Drag you can use this data to increase the accuracy of the HP/TQ data by allowing Auto Dyno to calculate the HP/TQ required to overcome air resistance and rolling resistance.   
You can also Graph empirical Drag Losses which include Aerodynamic Drag and Rolling Resistance by selecting Custom in the Graph window, and selecting Coast Down Aero+Rolling Drag.  This drag is calculated in real time, and thus it is the sum of Cda [Cda = Cd + Frontal Area] and Rolling Drag.  This graph is only accurate if the vehicle is in neutral and no brakes are applied.

In the following graph:
The Blue line is the calculated Aero+Rolling Resistance in HP
The Green line is the Coast-Down Aero+Rolling Drag in HP measured by the deceleration of the vehicle
The Orange line is the vehicle Speed.

Note how close the Blue and Green values are. [Click for larger Graph]

Math:

A vehicles HP is the force accelerating your vehicle F = M*A, where the mass is the weight of your vehicle, and the acceleration is your change in speed.

This formula nets the HP required to accelerate your vehicle, but it does not take into account the HP required to overcome rolling resistance or to overcome aerodynamic drag.  

To measure the force or HP required to overcome rolling resistance and aerodynamic drag you will need the Frontal Area of your vehicle, its Cd [Coefficient of Drag], and Weight

Rolling Resistance (LBS)=Weight * (Rolling Coefficient + (Speed Effect Coefficient*3.24*(Speed/100)^2.5)

Aero Drag = 0.5 * Air Density[kgm3*kgm3_to_slugs[slugs]*Frontal Area*DragCoeff*(speed*1.467)^2

Rolling Resistance [LBS] + Aero Drag [LBS] = Total Drag in LBS

Convert Total Drag [LBS] to HP

HP = Speed * 1.467 * Total Drag / 550

The math is actually far more complicated, this is just a brief explanation of the mechanics.  

How does AutoDyno calculate Cd?
Auto Dyno calculates Cda and uses the Frontal Area to extract Cd from Cda
How does AutoDyno calculate Coast-Down Cda Drag?
Auto Dyno calculates Coast-Down Cda from deceleration HP.  The only reason the vehicle decelerates is because of Aerodynamic Drag and Rolling Resistance.  Thus you can easily calculate the amount of HP that is exerted to generate the measured deceleration.  
I am confused, why are there 3 Cda's?
1.  Options menu in the Aerodynamic Information box 
A:  The Drag Coefficient here is entered by the user and is the factory Cd for your vehicle make, model, and year.  This value is probably close enough, but might not be accurate.
2.  In the Data View in the Calculated Drag section
A:  This is actually the measured Cda from a coast-down run 60-30mph. Cda is the sum of Cd and Frontal Area. It is calculated by performing a coast down from 60-30 mph.  It calculates Total drag and separates it based on the fact that from 60-50 most of the deceleration is because of Aero Drag and from 40-30 most of the deceleration is because of Rolling Drag.
3.  In the Data View / Test Run Info: Section [Drag Coefficient = Cd]
A: This is the Cd that was in the Options box when the run was recorded.  The same is true for all settings in the Test run Info section.
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