Calculating wheel torque from engine torque

In summary, the conversation discusses finding the optimum rpm points for shifting gears to maximize acceleration. The speaker has found the shift points and rpm's after an upshift, and is assuming a 1000 rpm increase to take 1 second for simplicity. They also mention the engine torque and multiplying it by gear and final gear ratios, and finding the rotational acceleration of the wheel. The conversation also touches on splitting engine power between two wheels and finding the traction force applied to the ground. The optimal shift point is where the power is the same in the new and old gears, and this will maximize average horsepower and acceleration. The conversation ends with a discussion on using torque data to calculate acceleration and converting RPM to angular frequency in radians per second. The speaker
  • #106
Probably the horse, even though the elephant has a much higher power output. Acceleration is based on power to weight though, and in the case of horses vs elephants, a lot of other biomechanical factors that really aren't relevant to the discussion at hand.
 
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  • #107
thichiuem said:
@jack action : Between an elephant and a horse, which acceleration is greater?
I read that a horse can produce a peak of 15 horsepower. I cannot find a similar value for an elephant, but when comparing with horses, they seem to be able to pull a similar weight ratio compared to their mass, maybe even larger. This would suggest that their acceleration would be similar from a standstill start, maybe even larger.

But horses will be able to reach a higher maximum speed, meaning they accelerate faster at higher speeds (while the elephant's acceleration goes to zero). But this may be like comparing two identical vehicles with different transmissions: One accelerates fast at low speeds but reaches quickly a top speed, and the other accelerates slower, but over a much wider speed range. With the horse and the elephant, that would be comparing their biomechanics.

As an aside, on a 40-yard dash, this is what a professor of applied physiology and biomechanics had to say:
Who Will Win: A Squirrel an Elephant a Pig or a Safety? said:
Squirrel: The nutty rodents can hightail it at up to 14 mph—on a good day

Elephant: Although much more massive, they can sprint at roughly the same speed as a squirrel
 
  • #108
That is to say, you must have the same frame of reference.
To compare two equivalent cars (in terms of mass, gear ratio, wheel radius, ...) it can be said that the vehicle with the greater torque has the greater acceleration.
As for comparing 2 cars (assuming there is no loss), because P=ma*v, the car with larger P/m will have a greater acceleration.
Thank you for your reply and would like to learn more.
 
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