Thrust Angle for Unaccelerated Level Flight for given Drag Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thrust angle = acos(Drag Force/Thrust)
σT = acos(FD/T)
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
Variables Used
Thrust angle - (Measured in Radian) - Thrust angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Thrust - (Measured in Newton) - The Thrust of an aircraft is defined as the force generated through propulsion engines that move an aircraft through the air.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 99.99 Newton --> 99.99 Newton No Conversion Required
Thrust: 100 Newton --> 100 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σT = acos(FD/T) --> acos(99.99/100)
Evaluating ... ...
σT = 0.0141422534775199
STEP 3: Convert Result to Output's Unit
0.0141422534775199 Radian --> No Conversion Required
FINAL ANSWER
0.0141422534775199 0.014142 Radian <-- Thrust angle
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

19 Thrust and Power Requirements Calculators

Minimum Thrust required for given weight
Go Thrust = (Dynamic Pressure*Area*Zero Lift Drag Coefficient)+((Weight of Body^2)/(Dynamic Pressure*Area*pi*Oswald Efficiency Factor*Aspect Ratio of a wing))
Minimum Thrust required for given lift coefficient
Go Thrust = Dynamic Pressure*Area*(Zero Lift Drag Coefficient+((Lift Coefficient^2)/(pi*Oswald Efficiency Factor*Aspect Ratio of a wing)))
Minimum Thrust of aircraft required
Go Thrust = Dynamic Pressure*Reference Area*(Zero Lift Drag Coefficient+Coefficient Of Drag Due to Lift)
Weight of aircraft for given required power
Go Weight of Body = Power*Lift Coefficient/(Freestream Velocity*Drag Coefficient)
Power required for given aerodynamic coefficients
Go Power = Weight of Body*Freestream Velocity*Drag Coefficient/Lift Coefficient
Thrust Angle for Unaccelerated Level Flight for given Lift
Go Thrust angle = asin((Weight of Body-Lift Force)/Thrust)
Weight of aircraft in level, unaccelerated flight
Go Weight of Body = Lift Force+(Thrust*sin(Thrust angle))
Weight of aircraft for given coefficients of lift and drag
Go Weight of Body = Lift Coefficient*Thrust/Drag Coefficient
Thrust for given coefficients of lift and drag
Go Thrust = Drag Coefficient*Weight of Body/Lift Coefficient
Weight of aircraft for level, unaccelerated flight at negligible thrust angle
Go Weight of Body = Dynamic Pressure*Area*Lift Coefficient
Thrust of aircraft required for level, unaccelerated flight
Go Thrust = Dynamic Pressure*Area*Drag Coefficient
Thrust for Level and Unaccelerated Flight
Go Thrust = Drag Force/(cos(Thrust angle))
Thrust Angle for Unaccelerated Level Flight for given Drag
Go Thrust angle = acos(Drag Force/Thrust)
Thrust-to-weight ratio
Go Thrust-to-Weight Ratio = Drag Coefficient/Lift Coefficient
Thrust of aircraft required for given Lift-to-drag ratio
Go Thrust = Weight of Body/Lift-to-drag Ratio
Weight of aircraft for given Lift-to-drag ratio
Go Weight of Body = Thrust*Lift-to-drag Ratio
Power required for given total drag force
Go Power = Drag Force*Freestream Velocity
Power required for given required thrust of aircraft
Go Power = Freestream Velocity*Thrust
Thrust of aircraft required for given required power
Go Thrust = Power/Freestream Velocity

Thrust Angle for Unaccelerated Level Flight for given Drag Formula

Thrust angle = acos(Drag Force/Thrust)
σT = acos(FD/T)

What is Thrust Vectoring?

Thrust vectoring, also known as thrust vector control, is the ability of an aircraft, rocket, or other vehicle to manipulate the direction of the thrust from its engine(s) or motor(s) to control the attitude or angular velocity of the vehicle.

How to Calculate Thrust Angle for Unaccelerated Level Flight for given Drag?

Thrust Angle for Unaccelerated Level Flight for given Drag calculator uses Thrust angle = acos(Drag Force/Thrust) to calculate the Thrust angle, Thrust Angle for Unaccelerated Level Flight for given Drag is mathematically the inverse cosine of the ratio drag to thrust. Thrust angle is denoted by σT symbol.

How to calculate Thrust Angle for Unaccelerated Level Flight for given Drag using this online calculator? To use this online calculator for Thrust Angle for Unaccelerated Level Flight for given Drag, enter Drag Force (FD) & Thrust (T) and hit the calculate button. Here is how the Thrust Angle for Unaccelerated Level Flight for given Drag calculation can be explained with given input values -> 0.014142 = acos(99.99/100).

FAQ

What is Thrust Angle for Unaccelerated Level Flight for given Drag?
Thrust Angle for Unaccelerated Level Flight for given Drag is mathematically the inverse cosine of the ratio drag to thrust and is represented as σT = acos(FD/T) or Thrust angle = acos(Drag Force/Thrust). Drag Force is the resisting force experienced by an object moving through a fluid & The Thrust of an aircraft is defined as the force generated through propulsion engines that move an aircraft through the air.
How to calculate Thrust Angle for Unaccelerated Level Flight for given Drag?
Thrust Angle for Unaccelerated Level Flight for given Drag is mathematically the inverse cosine of the ratio drag to thrust is calculated using Thrust angle = acos(Drag Force/Thrust). To calculate Thrust Angle for Unaccelerated Level Flight for given Drag, you need Drag Force (FD) & Thrust (T). With our tool, you need to enter the respective value for Drag Force & Thrust and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Thrust angle?
In this formula, Thrust angle uses Drag Force & Thrust. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thrust angle = asin((Weight of Body-Lift Force)/Thrust)
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