Thrust Angle for Unaccelerated Level Flight for given Lift Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thrust angle = asin((Weight of Body-Lift Force)/Thrust)
σT = asin((Wbody-FL)/T)
This formula uses 2 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(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.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
Lift Force - (Measured in Newton) - The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow.
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
Weight of Body: 221 Newton --> 221 Newton No Conversion Required
Lift Force: 220 Newton --> 220 Newton No Conversion Required
Thrust: 100 Newton --> 100 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σT = asin((Wbody-FL)/T) --> asin((221-220)/100)
Evaluating ... ...
σT = 0.0100001666741671
STEP 3: Convert Result to Output's Unit
0.0100001666741671 Radian --> No Conversion Required
FINAL ANSWER
0.0100001666741671 0.01 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 Lift Formula

Thrust angle = asin((Weight of Body-Lift Force)/Thrust)
σT = asin((Wbody-FL)/T)

How is the thrust controlled by pilot?

The pilot controls thrust by adjustment of the control levers for the engine. In a turbojet engine, the principal control is the throttle, with auxiliary devices such as water injection and afterburners.

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

Thrust Angle for Unaccelerated Level Flight for given Lift calculator uses Thrust angle = asin((Weight of Body-Lift Force)/Thrust) to calculate the Thrust angle, The Thrust Angle for Unaccelerated Level Flight for given Lift is given by the inverse sine of the ratio of the difference between weight and lift to the thrust force. Thrust angle is denoted by σT symbol.

How to calculate Thrust Angle for Unaccelerated Level Flight for given Lift using this online calculator? To use this online calculator for Thrust Angle for Unaccelerated Level Flight for given Lift, enter Weight of Body (Wbody), Lift Force (FL) & Thrust (T) and hit the calculate button. Here is how the Thrust Angle for Unaccelerated Level Flight for given Lift calculation can be explained with given input values -> 0.01 = asin((221-220)/100).

FAQ

What is Thrust Angle for Unaccelerated Level Flight for given Lift?
The Thrust Angle for Unaccelerated Level Flight for given Lift is given by the inverse sine of the ratio of the difference between weight and lift to the thrust force and is represented as σT = asin((Wbody-FL)/T) or Thrust angle = asin((Weight of Body-Lift Force)/Thrust). Weight of Body is the force acting on the object due to gravity, The Lift Force, lifting force or simply lift is the sum of all the forces on a body that force it to move perpendicular to the direction of flow & 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 Lift?
The Thrust Angle for Unaccelerated Level Flight for given Lift is given by the inverse sine of the ratio of the difference between weight and lift to the thrust force is calculated using Thrust angle = asin((Weight of Body-Lift Force)/Thrust). To calculate Thrust Angle for Unaccelerated Level Flight for given Lift, you need Weight of Body (Wbody), Lift Force (FL) & Thrust (T). With our tool, you need to enter the respective value for Weight of Body, Lift 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 Weight of Body, Lift Force & Thrust. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Thrust angle = acos(Drag Force/Thrust)
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