Phil wrote:I'd argue that "power" is just a momentary figure. A power output rating at a specific point in time (rpm). It doesn't necessarely tell us anything about acceleration because acceleration happens over a wider rev range, not at a idle point. The torque curve shows us the characteristic, which leads to over which band of the rev range the engine produces how much power.
In that case, speed, acceleration, engine rpm and torque are also momentary figures. They change with time. But the momentary power divided by the momentary speed always gives the momentary motive force, i.e. at every moment in time the current motive force is equal to the current engine power output divided by the current speed.
When you use the torque curve, the gear exchange ratios, the final drive and the tyre- and wheel dimensions to calculate the motive force as a function of the vehicle speed, you are implicitly defining the power. So basically, the only use you make of the torque is to determine the power.
On the other hand, let's say that we have the following information about a car:
-The power curve with power as function of relative engine speed (in % of maximum engine rev speed, not in rpm)
-The relative difference between the gear exchange ratios of two consecutive gears, i.e. the ratio of 2nd gear divided by the ratio of 1st gear, the ratio of 3rd gear divided by the ratio of 2nd gear and so on.
-On point on the above mentioned power curve where we know the vehicle speed and which gear is engaged
With this information I can calculate the motive force of the car under all circumstances. I will know everything there is to know about the performance of this engine. If I also get information about the car such as mass, center of gravity, aerodynamic parameters etc. I will know everything there is to know about the car's performance. But I don't know the following information, and I have no way of determining the information about:
-Engine torque
-Engine rpm (absolute figure)
-Gear exchange ratios
-Final drive
-Tyre- and wheel dimensions
Let's call the former set of information data set 1 and the latter set of information data set 2. Both data sets can be used alone to determine the engine performance. But data set 1 cannot be used to determine data set 2. However, data set 2 can be used to determine data set 1. That means data set 2 contains more information than data set 1. But since data set 1 alone contains all the information we need, and data set 2 contains more information than that, data set 2 must necessarily contain some insignificant information.
Imagine that you need to paint a building. You then need to know how much paint you need to buy. You know that one liter of paint is enough to cover 10 square meters, so you then start to collect data. You measure the length of each wall, the height and the ridge angle of the gable walls. Then you start measuring the windows doors that do not need to be painted. With all this data you will be able to calculate how much paint you need. But there is really just one parameter you need to know: The total area of the surface that is to be painted.
I would argue that the surface area is the only essential parameter in this case, given the 10 square meters per liter figure. You may well argue that the height of the building is essential because it affects the surface area, but the truth is that you don't need to know it, you only need to know the surface area.