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To: Paladin2
One can perform some coastdowns on the highway (time to go from 85 to 75, 80 to 70, etc), weigh your vehicle and get a rough approximation of the work necessary to go a certain speed. do this over a number of speed ranges and then calculate the required HP and regress is against speed.

The power absorbed by rolling resistance will be proportional to velocity, but the force it produces IS (roughly speaking) constant as a function of speed. Similarly, the power consumed by by aero drag is proportional to the cube of the vehicle's velocity, but the retarding force is proportional to the square of the velocity.

189 posted on 05/01/2005 1:12:57 PM PDT by longshadow
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To: longshadow
Force is how hard one has to push to keep the vehicle at a given speed. Work (energy) is force times distance. Power is work/time. Power times the time to traverse a given distance comes back to work done (energy expended).

To push a vehicle at low speeds where rolling resistance predominates, the force required is proportional to speed. More speed -> more force for the given distance --> more work/mile. Have you ever pushed a vehicle any distance? Tried to push it faster? I believe that you will find it takes more force to push it faster.

The required power to meet the rolling force needs is a constant * V^2. Aero force is a constant*A*Cd*density*V^2. Aero power is proportional to V^3. So total required road load horsepower is rolling constant * V^2 + Aero constant * V^3.

Work done/mi = power * Time. That divides the velocity out for a given mile getting back to work done = ~ (rolling resistance force + Aero force)* distance.

So one measures the coast down time. The vehicle mass (ignoring the energy in rotation of wheels/tires/brakes/driveline (you do do the coastdown in neutral? right?) times V^2 gives the energy at the starting speed and the ending speed. The difference gives you the energy expended. Divide by the time and you get average horsepower over that time. Multiply the required horsepower times the expected engine BSFC (at the appropriate engine speed and torque) * gal/lb (~1/6.15 for gasoline) * driveline efficiency gives you gallons/hr. Take mph and divide by the above and you should have an estimate of mi/gal.

201 posted on 05/01/2005 2:40:51 PM PDT by Paladin2 (Don't Tread on Me; Live Free or Die)
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