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Calculate Horsepower

Auto Dyno Horsepower Calculator

Auto Dyno calculates horsepower by measuring your vehicles increase in velocity, time, and vehicle weight.  If you increase horsepower you will need to measure the base horsepower in brake horsepower or engine horsepower.  Then you make a performance modification and retest the car horsepower to determine the effectiveness of the modification
Parameter Description
 Vehicle Name Name you enter in the Options screen.  See Diagram 1.
Peak HP Peak Calculated HP from the HP / TQ / RPM Data
Peak TQ Peak Calculated TQ from the HP / TQ / RPM Data
0-60* The time in seconds for the 0-60 run.
1/8 Mile* The time in seconds it took you to travel 1/8 Mile
1/4 Mile* The time in seconds it took you to travel 1/4 Mile
Test Duration Duration of test in Seconds
Calc Max Speed Maximum speed is calculated by using your Peak HP and Aerodynamic Info
Timing Actual = from the start of movement

x in Rollout = Drag Strip type timing where the first x inches are not included in the timing

*Your test run must start at 0 for this parameter to be calculated.
Diagram 1: [General Section; can be found in the Tools / Options window]
Vehicle Name: The name you choose to describe your vehicle
Vehicle Weight:  The weight of your vehicle including Driver, Passengers, Water, Oil, and Fuel.  This number needs to be relatively accurate.  Weight is used in the Horsepower Formulas.
Diagram 2:  [Aerodynamic Information;  can be found in the Tools / Options window]
Drag Coefficient:  This number represents the factory specified Cd for your vehicle.  You input this number.  This number is used to calculate HP loss due to aerodynamic drag.
Frontal Area:  This number represents the factory specified Frontal Area of  your vehicle.  You input this number.  This number is also used to calculate HP loss due to aerodynamic drag.  You can measure this by holding a spotlight behind your vehicle and measuring the area of the shadow on a wall.  The factory value is usually in the cars specifications.
Rolling Coefficient a.k.a. Rolling Resistance:  This value will probably not be available in your vehicle specifications.  It can be calculated using the Coast Down Calculator method.   Default values usually range from 0.008 for small tires on light cars to 0.020 for larger tires on heavier cars.
Include Aerodynamic + Rolling Loss in Calculations:  If this is Checked, the Horsepower required to overcome resistance [drag] due to Aerodynamic drag and rolling drag will be added to your horsepower numbers in the HP / TQ Graph and Peak HP / TQ Numbers in the Data View.  If you want to see how much HP is being added for Aerodynamic Drag and/or Rolling Drag, just select the Custom Graph Tab and graph (Aero+Rolling Drag HP).  This will graph the HP it takes your vehicle to overcome Aerodynamic Drag and Rolling Drag.  You can also graph the two numbers separately.
Diagram 3:  [Engine and Transmission; can be found in the Tools / Options window]
Calculate WHP:  This calculates actual Horsepower your wheels are exerting on the road.  This will be 10-20% less than the Horsepower measured at your flywheel [Flywheel Horsepower or Block Horsepower].  
Calculate BHP:  Block Horsepower is calculated from Wheel Horsepower by multiplying it by the percentage mechanical loss you input in the Mechanical loss box.  The average mechanical loss for a 5 speed manual transmission is 15%.
Diagram 4:  [Climate Information; can be found in the Tools / Options window]
Temperature:  This is the outside temperature.  This value is used to properly calculate Aerodynamic Drag and the SAE J1349 Horsepower Correction.
Altimeter Pressure:  This is the also used to correct Aero Drag and for SAE J1349 corrections.
Humidity:  This is the also used to correct Aero Drag and for SAE J1349 corrections.
Elevation:  This is the also used to correct Aero Drag and for SAE J1349 corrections.
SAE Correct HP/TQ Data:  If this box is Checked the HP/TQ data used for the HP/TQ Graph and the Peak HP and TQ will be shifted by this percentage.  If you want to learn more on SAE J1349 corrections for Dynos please do a quick web search.
Diagram 5:  [Choose Your Car; can be found in the Tools / Options window]
This drop down menu automatically fills in some or all of your vehicle data including:
  • Vehicle Name
  • Vehicle Weight [Without Driver, you must add your weight to this value]
  • Drag Coefficient
  • Frontal Area
  • Rolling Coefficient
  • Speedometer Calibration [Always best to calibrate yourself]
  • RPM Calibration [Always best to calibrate yourself]

*Note:  If your vehicle is in the list some of the fields will be populated.  You need to make sure that all of the data is accurate.  You should always calibrate the Auto Dyno to your vehicle and after making modifications to your vehicle. 

In the following graph:
The Blue line is the calculated Horsepower.  This data has been corrected for Aerodynamic and Rolling drag loss.  It has also been corrected to standard Horsepower via the SAE J1349 specification.
The Pink  line is the calculated and corrected Torque
[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 constant 550 is derived from 1 HP = 550 LBS moving one foot in one second.

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

How does AutoDyno calculate Horsepower?
Auto Dyno calculates Horsepower by measuring the change in vehicle speed the elapsed time and the vehicle weight.  It then corrects Horsepower for aerodynamic and rolling drag losses.  Lastly it corrects for atmospheric conditions with SAE J1349 specified formulas.
How does AutoDyno calculate Torque?
Auto Dyno calculates Torque by its relation to Horsepower and by measuring RPM.  Horsepower and Torque are related by the formula:

Torque = Horsepower * 5252 / RPM 

How does Auto Dyno differ from a Chassis Dyno?
Great question!  I bet there are more differences than you think.
1.  A Chassis Dynamometer can not measure Horsepower only Torque.  It the calculates Horsepower from Torque.
2.  On any fixed dyno you will not get the same airflow through your vehicle as you will in motion.  With fans you get too much air through your radiator/intercooler at low "wheel speeds" and too little at high speed.  For Ram-Air systems to produce horsepower it is typically required to have air velocities greater than 100mph.  The air velocity of fixed fans rarely exceeds 45mph.  

If you want to know how your vehicle will perform during a 1/4 mile run in excess of 100mph, you need to measure the Horsepower at those speeds, not strapped to a chassis dyno in an air conditioned garage.

3.  There are four things that effect your vehicles performance:  Power [Horsepower/Torque], Drag [Aerodynamic and Rolling], and Weight [Vehicle+Water+Gas+Oil+Driver+Passenger].  The Chassis Dyno can not measure your aerodynamic drag, Auto Dyno not only measures Aerodynamic and Rolling Drag it also uses that data to correct your Horsepower and Torque.  Auto Dyno allows you to measure performance increases due to aerodynamic changes, i.e. body kits, wing angles, spoilers, etc.
For about the price of one Chassis Dyno session you can own an Auto Dyno.  
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