Velocity along pitch axis for small sideslip angle Calculator

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Introduction and Governing Equations

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Preliminary Aerodynamics

✖The sideslip angle, also called the angle of sideslip, is a term used in fluid dynamics and aerodynamics, and aviation which relates to the rotation of the aircraft centerline from the relative wind.ⓘ Sideslip Angle [β]			+10% -10%
✖Velocity along roll axis is the component of velocity along the roll axis of the aircraft.ⓘ Velocity along Roll Axis [u]			+10% -10%

✖Velocity along pitch axis is the component of velocity along the pitch axis of the aircraft.ⓘ Velocity along pitch axis for small sideslip angle [v]

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Formula

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Velocity along pitch axis for small sideslip angle

Formula

`"v" = "β"*"u"`

Example

`"1.780236m/s"="6°"*"17m/s"`

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Velocity along pitch axis for small sideslip angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis
v = β*u
This formula uses 3 Variables

Variables Used

Velocity along pitch axis - (Measured in Meter per Second) - Velocity along pitch axis is the component of velocity along the pitch axis of the aircraft.
Sideslip Angle - (Measured in Radian) - The sideslip angle, also called the angle of sideslip, is a term used in fluid dynamics and aerodynamics, and aviation which relates to the rotation of the aircraft centerline from the relative wind.
Velocity along Roll Axis - (Measured in Meter per Second) - Velocity along roll axis is the component of velocity along the roll axis of the aircraft.

STEP 1: Convert Input(s) to Base Unit

Sideslip Angle: 6 Degree --> 0.10471975511964 Radian (Check conversion here)
Velocity along Roll Axis: 17 Meter per Second --> 17 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = β*u --> 0.10471975511964*17

Evaluating ... ...

v = 1.78023583703388

STEP 3: Convert Result to Output's Unit

1.78023583703388 Meter per Second --> No Conversion Required

FINAL ANSWER

1.78023583703388 ≈ 1.780236 Meter per Second <-- Velocity along pitch axis

(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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< 18 Aircraft Dynamics Nomenclature Calculators

Sideslip angle

Go Sideslip Angle = asin(Velocity along pitch axis/(sqrt((Velocity along Roll Axis^2)+(Velocity along pitch axis^2)+(Velocity along yaw axis^2))))

Mean Aerodynamic Chord for Propeller-Driven Airplane

Go Mean aerodynamic chord = (1/Reference Area)*int(Chord Length^2,x,-Wingspan/2,Wingspan/2)

Pitching moment coefficient

Go Pitching moment coefficient = Pitching moment/(Dynamic Pressure*Reference Area*Characteristic length)

Rolling moment coefficient

Go Rolling moment coefficient = Rolling moment/(Dynamic Pressure*Reference Area*Characteristic length)

Pitching moment

Go Pitching moment = Pitching moment coefficient*Dynamic Pressure*Reference Area*Characteristic length

Yawing moment coefficient

Go Yawing Moment Coefficient = Yawing Moment/(Dynamic Pressure*Reference Area*Characteristic length)

Rolling moment

Go Rolling moment = Rolling moment coefficient*Dynamic Pressure*Reference Area*Characteristic length

Yawing moment

Go Yawing Moment = Yawing Moment Coefficient*Dynamic Pressure*Reference Area*Characteristic length

Normal force coefficient with aerodynamic normal force

Go Normal force coefficient = Aerodynamic Normal Force/(Dynamic Pressure*Reference Area)

Aerodynamic normal force

Go Aerodynamic Normal Force = Normal force coefficient*Dynamic Pressure*Reference Area

Aerodynamic axial force

Go Aerodynamic Axial Force = Axial force coefficient*Dynamic Pressure*Reference Area

Side force coefficient

Go Side force coefficient = Aerodynamic Side Force/(Dynamic Pressure*Reference Area)

Aerodynamic side force

Go Aerodynamic Side Force = Side force coefficient*Dynamic Pressure*Reference Area

Angle of attack

Go Angle of Attack = atan(Velocity along yaw axis/Velocity along Roll Axis)

Velocity along pitch axis for small sideslip angle

Go Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis

Velocity along roll axis for small sideslip angle

Go Velocity along Roll Axis = Velocity along pitch axis/Sideslip Angle

Velocity along roll axis for small angle of attack

Go Velocity along Roll Axis = Velocity along yaw axis/Angle of Attack

Velocity along yaw axis for small angle of attack

Go Velocity along yaw axis = Velocity along Roll Axis*Angle of Attack

Velocity along pitch axis for small sideslip angle Formula

Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis
v = β*u

What is a turn indicator?

The turn indicator is a gyroscopic instrument that works on the principle of precession. The gyro is mounted in a gimbal. The gyro's rotational axis is in-line with the lateral (pitch) axis of the aircraft, while the gimbal has limited freedom around the longitudinal (roll) axis of the aircraft.

How to Calculate Velocity along pitch axis for small sideslip angle?

Velocity along pitch axis for small sideslip angle calculator uses Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis to calculate the Velocity along pitch axis, The Velocity along pitch axis for small sideslip angle (less than 15 degrees) is a function of the velocity component along the roll axis of aircraft. The sideslip angle here is in radians. Velocity along pitch axis is denoted by v symbol.

How to calculate Velocity along pitch axis for small sideslip angle using this online calculator? To use this online calculator for Velocity along pitch axis for small sideslip angle, enter Sideslip Angle (β) & Velocity along Roll Axis (u) and hit the calculate button. Here is how the Velocity along pitch axis for small sideslip angle calculation can be explained with given input values -> 1.780236 = 0.10471975511964*17.

FAQ

What is Velocity along pitch axis for small sideslip angle?

The Velocity along pitch axis for small sideslip angle (less than 15 degrees) is a function of the velocity component along the roll axis of aircraft. The sideslip angle here is in radians and is represented as v = β*u or Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis. The sideslip angle, also called the angle of sideslip, is a term used in fluid dynamics and aerodynamics, and aviation which relates to the rotation of the aircraft centerline from the relative wind & Velocity along roll axis is the component of velocity along the roll axis of the aircraft.

How to calculate Velocity along pitch axis for small sideslip angle?

The Velocity along pitch axis for small sideslip angle (less than 15 degrees) is a function of the velocity component along the roll axis of aircraft. The sideslip angle here is in radians is calculated using Velocity along pitch axis = Sideslip Angle*Velocity along Roll Axis. To calculate Velocity along pitch axis for small sideslip angle, you need Sideslip Angle (β) & Velocity along Roll Axis (u). With our tool, you need to enter the respective value for Sideslip Angle & Velocity along Roll Axis 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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