Thrust Angle for Unaccelerated Level Flight for given Lift Calculator

✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body [W_body]			+10% -10%
✖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.ⓘ Lift Force [F_L]			+10% -10%
✖The Thrust of an aircraft is defined as the force generated through propulsion engines that move an aircraft through the air.ⓘ Thrust [T]			+10% -10%

✖Thrust Angle is defined as the angle between thrust vector and flight path (or flight velocity) direction.ⓘ Thrust Angle for Unaccelerated Level Flight for given Lift [σ_T]

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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)
σ_T = asin((W_body-F_L)/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

σ_T = asin((W_body-F_L)/T) --> asin((221-220)/100)

Evaluating ... ...

σ_T = 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)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Thrust and Power Requirements Calculators

Thrust Angle for Unaccelerated Level Flight for given Lift

LaTeX Go Thrust Angle = asin((Weight of Body-Lift Force)/Thrust)

Weight of Aircraft in Level, Unaccelerated Flight

LaTeX Go Weight of Body = Lift Force+(Thrust*sin(Thrust Angle))

Thrust for Level and Unaccelerated Flight

LaTeX Go Thrust = Drag Force/(cos(Thrust Angle))

Thrust Angle for Unaccelerated Level Flight for given Drag

LaTeX Go Thrust Angle = acos(Drag Force/Thrust)

Thrust Angle for Unaccelerated Level Flight for given Lift Formula

LaTeX Go

Thrust Angle = asin((Weight of Body-Lift Force)/Thrust)
σ_T = asin((W_body-F_L)/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 refers to the angle at which the force produced by an aircraft's propulsion system is directed relative to the aircraft's longitudinal axis, in unaccelerated level flight, where the lift generated by the wings balances the aircraft's weight and the thrust balances the drag, the thrust produced by the engines is generally aligned with the longitudinal axis of the aircraft, this alignment minimizes any pitching moments and helps maintain stable flight. Thrust Angle is denoted by σ_T 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 (W_body), Lift Force (F_L) & 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 refers to the angle at which the force produced by an aircraft's propulsion system is directed relative to the aircraft's longitudinal axis, in unaccelerated level flight, where the lift generated by the wings balances the aircraft's weight and the thrust balances the drag, the thrust produced by the engines is generally aligned with the longitudinal axis of the aircraft, this alignment minimizes any pitching moments and helps maintain stable flight and is represented as σ_T = asin((W_body-F_L)/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 refers to the angle at which the force produced by an aircraft's propulsion system is directed relative to the aircraft's longitudinal axis, in unaccelerated level flight, where the lift generated by the wings balances the aircraft's weight and the thrust balances the drag, the thrust produced by the engines is generally aligned with the longitudinal axis of the aircraft, this alignment minimizes any pitching moments and helps maintain stable flight 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 (W_body), Lift Force (F_L) & 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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