### aerodynamics - Is there any equation to bind velocity, thrust and power? - Aviation Stack Exchange

I know that thrust is force, and power is the rate at which you apply . to be confused with pound feet of torque which is completely different). In the first equation, Power = Thrust x Time is not thrust of the airplane When RPM is constant - the propeller-drag torque, plus internal friction. The Science of Making Torque from Wind IOP Publishing N = 1, 2, 3, 5, 10, 20, 1 quantitative information on the thrust and power as a function relation between the load and converted power of a rotor and a disc by formal limit.

The power from the engine is required to overcome the drag due to lift thrust in this caseparasitic drag, and internal friction. When RPM is constant - the propeller-drag torque, plus internal friction, is equal to the torque applied to the crankshaft by the expanding gasses in the cylinder.

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Basically, the moments torques clockwise about the crankshaft center equal the moments torques counterclockwise about the crankshaft center. Forget about Vx and Vy for a moment - every climb has a certain climb angle and climb rate!

## Torque, Thrust, and Power

When you're thinking about excess thrust and excess power just think of any sort of climb - not Vx or Vy. What it's saying is that the angle of climb regardless of what it is is directly related to the excess thrust, and rate of climb regardless of what it is is directly related to excess power.

These two images are from Aerodynamics for Naval Aviators: Climbing - Imgur For the angle of climb bit, it's a simple analysis of the 4 forces in flight. At the top of Figure 2. Essentially the more excess thrust you have, the more horizontal component of weight you're able to balance, meaning the steeper you can climb.

Reading those pages I've attached should explain it quite clearly. As for the rate of climb bit, you'll see at the top of Figure 2. Essentially, for the same angle of climb, increasing the TAS velocity will increase the rate of climb directly. That's explained in more detail on the second image above. In a combustion engine, the power is related to the speed of the engine RPM. In the case of the airplane, power is related to the speed of the airplane.

If we take a look at any power diagram like the one below, it is obvious that every engine has a specific operation span and if we want to exploit in the best way possible the power that the wheels receive ex to accelerate or to climb a steep road we have to introduce a mechanism in order for the engine to operate in the rotating speed span where it performs the best.

### Relationship between Thrust and Torque of a Propeller - RC Groups

The engine is connected to the wheels via the transmission thus the engine rotating speed is always proportional to the vehicle velocity. The integral transmission system gearbox, differential and wheels is the mechanism we mentioned above that 'synchronizes' the engine rotation speed with the velocity of the vehicle and makes possible for the engine to operate in a relatively optimum rpm range in respect to the vehicle velocity. Until now we have already mentioned power several times but not once the term torque.

As we will better examine below, torque is a quantity that constantly changes during the transition from one system to another.

Power is the only quantity that remains unchanged with the exception of losses of course. In a non-rotating system, if for example we have a mass that moves in a straight line, the power according to Newton mechanics is the energy rate of change. We can express power as a function of velocity and the formula is: Thus the power we need in order to move slowly a heavy object is the same with the power needed to move a light object fast.

In our case where the system is rotating, power is equal to the product of angular velocity rpm times the torque. We can have the same power consumption when a big torque rotates slowly or when a small torque rotates fast.

## Power vs Thrust (again)

To better comprehend the relation between power, angular velocity and torque we will use the diagram below with the 'power square' more on this on the special box on the right. In every stage of the transmission system we can select the 'level' we want inside the square in order to have the combination of rpm and torque we want. This combination at the final stage differential will relate the rpm with the vehicle velocity and the product of this torque and the wheel radius gives us the force the tire excels on the road thrust.

**Horsepower vs Torque - A Simple Explanation**