Velocity along roll axis for small sideslip angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity along Roll Axis = Velocity along pitch axis/Sideslip Angle
u = v/β
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity along pitch axis: 0.88 Meter per Second --> 0.88 Meter per Second No Conversion Required
Sideslip Angle: 6 Degree --> 0.10471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = v/β --> 0.88/0.10471975511964
Evaluating ... ...
u = 8.40338099525366
STEP 3: Convert Result to Output's Unit
8.40338099525366 Meter per Second --> No Conversion Required
FINAL ANSWER
8.40338099525366 8.403381 Meter per Second <-- Velocity along Roll Axis
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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)
Yawing moment coefficient
Go Yawing Moment Coefficient = Yawing Moment/(Dynamic Pressure*Reference Area*Characteristic length)
Pitching moment
Go Pitching moment = Pitching moment coefficient*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 roll axis for small sideslip angle Formula

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

What does the turn and bank indicator do?

A turn-and-bank indicator tells the pilot the attitude of the plane in the sky relative to the ground. This bank indicator uses a ball and curved glass tube to show rotation about the vertical axis. Gravity holds the ball to the lowest part of the tube, which moves from side to side as the airplane banks.

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

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

How to calculate Velocity along roll axis for small sideslip angle using this online calculator? To use this online calculator for Velocity along roll axis for small sideslip angle, enter Velocity along pitch axis (v) & Sideslip Angle (β) and hit the calculate button. Here is how the Velocity along roll axis for small sideslip angle calculation can be explained with given input values -> 8.403381 = 0.88/0.10471975511964.

FAQ

What is Velocity along roll axis for small sideslip angle?
The Velocity along roll axis for small sideslip angle (less than 15 degrees) is a function of the velocity component along the pitch axis of aircraft. The sideslip angle here is in radians and is represented as u = v/β or Velocity along Roll Axis = Velocity along pitch axis/Sideslip Angle. Velocity along pitch axis is the component of velocity along the pitch axis of the aircraft & 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.
How to calculate Velocity along roll axis for small sideslip angle?
The Velocity along roll axis for small sideslip angle (less than 15 degrees) is a function of the velocity component along the pitch axis of aircraft. The sideslip angle here is in radians is calculated using Velocity along Roll Axis = Velocity along pitch axis/Sideslip Angle. To calculate Velocity along roll axis for small sideslip angle, you need Velocity along pitch axis (v) & Sideslip Angle (β). With our tool, you need to enter the respective value for Velocity along pitch axis & Sideslip Angle 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 Velocity along Roll Axis?
In this formula, Velocity along Roll Axis uses Velocity along pitch axis & Sideslip Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity along Roll Axis = Velocity along yaw axis/Angle of Attack
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