Calculating engine torque/horse power from datalogs

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SUMMARY

This discussion focuses on calculating horsepower and torque from vehicle datalogs using parameters such as RPM, mass, and time. Key equations include DragA for aerodynamic drag, DragT for weight-related drag, and the relationship between engine RPM and axle RPM through gear ratios. The participant seeks clarification on the integration of tire dimensions, specifically the tire cross-section and aspect ratio, into the diameter calculation. The discussion emphasizes the importance of understanding force, power, and torque in the context of vehicle dynamics.

PREREQUISITES
  • Understanding of basic physics concepts such as force, power, and torque.
  • Familiarity with vehicle dynamics and how gear ratios affect performance.
  • Knowledge of tire specifications, including cross-section and aspect ratio.
  • Basic calculus for understanding integrals in energy and power calculations.
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  • Research the relationship between torque and horsepower in automotive applications.
  • Learn how to calculate vehicle drag using aerodynamic principles.
  • Study the impact of tire dimensions on vehicle performance metrics.
  • Explore the use of integrals in calculating energy and power in dynamic systems.
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Automotive engineers, performance tuners, and physics students interested in vehicle dynamics and powertrain performance calculations.

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The idea is using datalogs to calculate horsepower/torque. The given information is rpm, mass, time...

Here is what I have so far:
--------------------------------------------------------------------------------
DragA=.5 * densityAir*Area of the front of the car*velocity^2

DragT=Weight*.7

rpm=given

Axlerpm= Engine Rpm/(Gear*final drive)

Diameter(inches)= Rim+ 2(tirecross section * Aspect Ratio/100)/25.4

v(ft/min)=(diameter/12) * pi * Axlerpm

Now 1hp=33,000ftlb/min so could I simply say HP=v*mass ? That does not seem correct at all, but the units work.

If I do F=MA, I get units of lb*ft/min^2 which is definitely not correct. Basically I'm confused and any help would be appreciated it.

Thanks in advance for any help.
 
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RE: "HP=v*mass ?"

Energy is the product of Force applied over a distance.

Power = rate of energy (produced/consumed) = product of Force and speed.

Actually energy and power would be found by integrals, but I am assuming in this case that the force and speed are constant to simply the problem.

Torque is a product of force and moment arm.

The drag puts a force on the car. The tires must provide the force in balance, and in the opposite direction (assuming constant speed and not accounting for friction).

The driving axle must provide the torque, and the engine provides a torque to the driving axle (hence the gear ratio).
 
"Diameter(inches)= Rim+ 2(tirecross section * Aspect Ratio/100)/25.4"

Could some explain this equation please? How does the tire cross section come into play and what is aspect ratio in this case? And 25.4?

Thanks!
 
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