Thrust in Newtons (aviation)

In summary, to ensure consistency in calculating power available and power required, you can convert the aerodynamic drag force to a power required value using the equation D = (\frac{1}{2}\rho SC_{D})V^{2}+\frac{2W^2}{\rho S\pi AV^2}. This will allow you to solve for excess power, P_{ex} = P_{a} - P_{r} = TV - DV, and take into account propeller efficiency for accurate results.
  • #1
simurq
7
0
Given that an engine's rated power is 160 HP (~119kW), how can I express thrust (T) in Newtons, if aerodynamic drag (D) requires weight expressed in Newtons as well to ensure consistency when calculating power available (Pa) and power required (Pr)?:

[itex]D = (\frac{1}{2}\rho SC_{D})V^{2}+\frac{2W^2}{\rho S\pi AV^2}[/itex]

where:

[itex]\rho[/itex] = density at given altitude, [itex]\frac{kg}{m^3}[/itex]
[itex]S[/itex] = wing area, [itex]m^2[/itex]
[itex]C_{D}[/itex] = zero-lift coefficient of drag
[itex]V[/itex] = true airspeed, [itex]\frac{m}{s}[/itex]
[itex]A[/itex] = wing aspect ratio

I want to solve the equation for excess power: [itex]P_{ex} = P_{a} - P_{r} = TV - DV[/itex]

Thank you!

Rustam
 
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  • #2
Power is expressed by the relation
P = F * V
where
P is power,
F is force (thrust, drag, etc)
V is velocity (speed)
 
  • #3
Rather than changing the thrust to Newtons, why don't you convert the drag force to a power required value? You can do that with the equation mentioned by OldEngr63 above - knowing the drag force at any given speed, you can calculate the power required for level flight. Power available won't be the engine power though, which will complicate things - if you want an accurate result, you should also account for propeller efficiency.
 

Related to Thrust in Newtons (aviation)

1. What is thrust in Newtons?

Thrust in Newtons is a unit of measurement used to quantify the amount of force produced by an aircraft's engines. It is named after Sir Isaac Newton, a famous scientist who developed the laws of motion.

2. How is thrust in Newtons calculated?

Thrust in Newtons is calculated by multiplying the mass flow rate of the fuel exiting the engine nozzle by the velocity of the exhaust gases. This calculation takes into account the efficiency of the engine and the velocity of the aircraft.

3. Why is thrust in Newtons important in aviation?

Thrust in Newtons is important in aviation because it is the force that propels the aircraft forward and counteracts the forces of drag and weight. It is necessary for the aircraft to generate enough thrust to reach and maintain a desired speed and altitude.

4. How does thrust in Newtons affect an aircraft's performance?

The amount of thrust in Newtons directly affects an aircraft's performance. A higher thrust-to-weight ratio results in a faster and more powerful aircraft, while a lower ratio can cause slower speeds and reduced maneuverability.

5. How does thrust in Newtons differ between different types of aircraft?

The amount of thrust in Newtons varies between different types of aircraft depending on their size, weight, and design. For example, a commercial airliner may require much more thrust than a small private jet in order to take off and maintain flight at high altitudes.

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