I Calculate acceleration from power/torque graphs

[gen x]

Let say we want find out acceleration of two cars with same max power, comparing only power/torque graphs, both cars are 100% identical, same mass, aero drag,etc so difference is only in rpm and power/torque curve. Cars dont use CVT gearbox(allows to keep engine at max power) they both use gears, and both have optimal gear ratios to match optimal rpm window("power band") for ther power/torque curve for best acceleration.

So if I want find acceleration for lets say 10-14k rpm window, what I need to do? Find area under power curve in that limts 10-14k rpms(definite integral), does car that have more area under power curve accelerate faster, how to find optimal rpm window(gear ratios for my power/torque curve)?

 

[Baluncore]

Welcome to PF.

There is something wrong with that torque against RPM graph.
Power is the product of torque and RPM, so the power and torque lines should not cross as shown, they should be proportional.

 

[gen x]

Welcome to PF.

There is something wrong with that torque against RPM graph.
Power is the product of torque and RPM, so the power and torque lines should not cross as shown, they should be proportional.

Thanks.

I choose random photo from net.
We can look at this, just assume both have same max power.
Is there any advantge for engine that revs higher?

NA engine

turbo engine

 

[Baluncore]

You have a torque to RPM graph.
For each RPM being considered, multiply the torque by the gear ratio and by the differential ratio.
Knowing the radius of the wheel, convert that torque to a linear force, F, on the road at the tire contact patch.
You know the mass of the vehicle, m, and that F = m·a ;
Acceleration, a = F / m.