Dihedral angle for given sideslip velocity Calculator

✖Side velocity normal component is the normal component of side velocity associated with the dihedral effect.ⓘ Side Velocity Normal Component [V_n]			+10% -10%
✖Sideslip velocity is the velocity of aircraft when it sideslips.ⓘ Sideslip velocity [V_β]			+10% -10%

✖The dihedral angle is defined as the spanwise inclination of the wing with respect to the horizontal.ⓘ Dihedral angle for given sideslip velocity [Γ]

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Dihedral angle for given sideslip velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dihedral angle = asin(Side Velocity Normal Component/Sideslip velocity)
Γ = asin(V_n/V_β)
This formula uses 2 Functions, 3 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

Dihedral angle - (Measured in Radian) - The dihedral angle is defined as the spanwise inclination of the wing with respect to the horizontal.
Side Velocity Normal Component - (Measured in Meter per Second) - Side velocity normal component is the normal component of side velocity associated with the dihedral effect.
Sideslip velocity - (Measured in Meter per Second) - Sideslip velocity is the velocity of aircraft when it sideslips.

STEP 1: Convert Input(s) to Base Unit

Side Velocity Normal Component: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Sideslip velocity: 20.54 Meter per Second --> 20.54 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ = asin(V_n/V_β) --> asin(8/20.54)

Evaluating ... ...

Γ = 0.400071214031447

STEP 3: Convert Result to Output's Unit

0.400071214031447 Radian --> No Conversion Required

FINAL ANSWER

0.400071214031447 ≈ 0.400071 Radian <-- Dihedral angle

(Calculation completed in 00.004 seconds)

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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!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Lateral Stability Calculators

Normal component of aircraft side velocity for given dihedral angle

LaTeX Go Side Velocity Normal Component = Sideslip velocity*sin(Dihedral angle)

Aircraft sideslip velocity for given dihedral angle

LaTeX Go Sideslip velocity = Side Velocity Normal Component/sin(Dihedral angle)

Normal component of aircraft side velocity for given forward velocity

LaTeX Go Side Velocity Normal Component = Local Change in Angle Of Attack*Aircraft Forward Speed

Aircraft forward velocity for given normal component of side velocity

LaTeX Go Aircraft Forward Speed = Side Velocity Normal Component/Local Change in Angle Of Attack

Dihedral angle for given sideslip velocity Formula

LaTeX Go

Dihedral angle = asin(Side Velocity Normal Component/Sideslip velocity)
Γ = asin(V_n/V_β)

What is the effect of anhedral angle?

Military fighter aircraft often have near-zero or even anhedral angle reducing the dihedral effect and hence reducing the stability of the spiral mode. This increases manoeuvrability which is desirable in fighter-type aircraft.

How to Calculate Dihedral angle for given sideslip velocity?

Dihedral angle for given sideslip velocity calculator uses Dihedral angle = asin(Side Velocity Normal Component/Sideslip velocity) to calculate the Dihedral angle, Dihedral angle for given sideslip velocity is a measure of the angle between the wing and the horizontal plane, calculated using the sideslip velocity and its normal component, providing insight into the aircraft's aerodynamic characteristics. Dihedral angle is denoted by Γ symbol.

How to calculate Dihedral angle for given sideslip velocity using this online calculator? To use this online calculator for Dihedral angle for given sideslip velocity, enter Side Velocity Normal Component (V_n) & Sideslip velocity (V_β) and hit the calculate button. Here is how the Dihedral angle for given sideslip velocity calculation can be explained with given input values -> 0.81434 = asin(8/20.54).

FAQ

What is Dihedral angle for given sideslip velocity?

Dihedral angle for given sideslip velocity is a measure of the angle between the wing and the horizontal plane, calculated using the sideslip velocity and its normal component, providing insight into the aircraft's aerodynamic characteristics and is represented as Γ = asin(V_n/V_β) or Dihedral angle = asin(Side Velocity Normal Component/Sideslip velocity). Side velocity normal component is the normal component of side velocity associated with the dihedral effect & Sideslip velocity is the velocity of aircraft when it sideslips.

How to calculate Dihedral angle for given sideslip velocity?

Dihedral angle for given sideslip velocity is a measure of the angle between the wing and the horizontal plane, calculated using the sideslip velocity and its normal component, providing insight into the aircraft's aerodynamic characteristics is calculated using Dihedral angle = asin(Side Velocity Normal Component/Sideslip velocity). To calculate Dihedral angle for given sideslip velocity, you need Side Velocity Normal Component (V_n) & Sideslip velocity (V_β). With our tool, you need to enter the respective value for Side Velocity Normal Component & Sideslip velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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