Aww, this sounds like fun. Can I play? Let me put on my thinking cap . . . hmmmm . . . Physics . . . oh, yeah, I remember that - - my daughter's taking it in 11th grade now, perhaps I should ask her . . .
FORCE: strength or energy exerted or brought to bear
WORK: the transference of energy that is produced by the motion of the point of application of a force and is measured by multiplying the force and the displacement of its point of application in the line of action (FORCE x DISTANCE)
POWER: the time rate at which work is done or energy emitted or transferred (WORK / TIME)
If I want a car that can maintain a certain speed, I want a car that can produce a certain power. If it's speed that I'm concerned with, I want to measure that power at the drive wheels. If I substitute halfsize wheels on the car with the same engine producing the same power, I can haul a heavier load up a hill, but I can't go as fast. If I substitute oversize wheels on the drive wheels, I can go faster but I better lighten the load or find a downslope.
Now, if I want to keep the wheel size constant and supply the same power to the road from different motors operating at different speeds, it's easy to lose track. Not only do I need to consider the output of the motor, but also the gearing to the wheels. I could use an engine that supplies the power via a direct drive, or I could use an engine turning 10 times as many RPM's and transmit it through a gearbox. Ultimately, though, what COUNTS is how fast will the tires turn.
TORQUE: a force that produces or tends to produce rotation or torsion <an automobile engine delivers
torque to the drive shaft>;
also : a measure of the effectiveness of such a force that consists of the product of the force and the perpendicular distance from the line of action of the force to the axis of rotation (FORCE x DISTANCE)
HEY, that sounds like WORK ! It's work in a circle, ain't it?!?!?
And, if we consider how much WORK it can do in a given amount of time, that would be power, right???
Complicated in the above auto examples, but what if we could set some constants to simplify the analysis.
Whaddya say we assume a direct drive prop? Since direct drive props are most common, we'll go with that. One variable down, one to go.
Why don't we assume the same prop for this analysis? Since different shapes and sizes of props require different forces to push them through the air, all examples use the same prop, OK?
SO, what's left? Force... Distance... Time...
Can't we say that TORQUE and POWER are directly proportional here? Aren't they linearly related? An increase in TORQUE results in a proportional increase in POWER, and a decrease in TORQUE results in a like decrease in POWER, right?
So I've got me thinking. The physics-student daughter is fast asleep, as should I be, and the brain's a bit fuzzy now.
Consider 2 bicyclists with identical bicycles, both with 12-speed gearing. Both Cyclists are travelling the same speed along the same course. Both cyclists are identical in abilities -- strength, endurance, maximum pedaling speed, everything. In fact, they are side by side as they travel this hypothetical course. Cyclist A is pedaling in 1st gear - - feet are spinning furiously, but with little force. Cyclist B is pedaling in 12th gear - - feet are pushing against the pedals mightily hard, but they're moving quite slowly.
Which cyclist is imparting more torque to the rear wheel?
When you think of a car or truck with high torque, which cyclist do you think of?
Low-end torque? Ever heard that term? Which cyclist has that?
As the cyclists approach a steep incline, which would you prefer to be? Is that torque?
High-end torque - - ever heard that one? Which cyclist has high-end torque?
As the cyclists approach a gradual downslope, which would you prefer to be?
As long as the bicyces are traveling at the same speed, they must be receiving the same work, so the legs must be imparting the same work, right? One (A) is imparting little force over a long distance, and one (B) is imparting a large force over a short distance. The product in both cases is equal. The torque is the same. The POWER is the same.
And yet, we tend to think of there being different torques, right?
The cyclists decide to test their individual maximum speed on the downslope - - Cyclist A soon reaches his maximum pedaling speed - - his legs can move no faster. Cyclist B moves ahead. Which is producing more torque now?
Is torque a real force? Yes.
How meaningful is it in practical application? Well, it depends on the application, maybe.
What REALLY matters in an aviation motor? Power, which is directly proportional to torque.
I like pitch for airspeed in cruise.
.