Velocity at Altitude given Velocity at Sea-Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density)
Valt = V0*sqrt([Std-Air-Density-Sea]/ρ0)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[Std-Air-Density-Sea] - Standard air density at sea-level conditions Value Taken As 1.229
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity at an altitude - (Measured in Meter per Second) - Velocity at an altitude is the velocity of an aircraft at a given altitude (or density).
Velocity at sea-level - (Measured in Meter per Second) - Velocity at sea-level is the distance traveled per unit time by aircraft at the sea-level condition.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
STEP 1: Convert Input(s) to Base Unit
Velocity at sea-level: 6.7 Meter per Second --> 6.7 Meter per Second No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Valt = V0*sqrt([Std-Air-Density-Sea]/ρ0) --> 6.7*sqrt([Std-Air-Density-Sea]/997)
Evaluating ... ...
Valt = 0.23523566364894
STEP 3: Convert Result to Output's Unit
0.23523566364894 Meter per Second --> No Conversion Required
FINAL ANSWER
0.23523566364894 0.235236 Meter per Second <-- Velocity at an altitude
(Calculation completed in 00.020 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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17 Preliminary Aerodynamics Calculators

Power required at sea-level conditions
Go Power required at sea-level = sqrt((2*Weight of body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3))
Mach Number-2
Go Mach number 2 = sqrt(((((Heat Capacity Ratio-1)*Mach Number^(2)+2))/(2*Heat Capacity Ratio*Mach Number^(2)-(Heat Capacity Ratio-1))))
Power required at Altitude
Go Power required at an altitude = sqrt((2*Weight of body^3*Drag Coefficient^2)/(Density*Reference Area*Lift Coefficient^3))
Velocity at Sea-level given Lift Coefficient
Go Velocity at sea-level = sqrt((2*Weight of body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))
Dynamic pressure given gas constant
Go Dynamic Pressure = 1/2*Ambient air density*Mach Number^2*Specific Heat of Air*Gas Constant*Temperature
Velocity at Altitude
Go Velocity at an altitude = sqrt(2*Weight of body/(Density*Reference Area*Lift Coefficient))
Power required at Altitude given Power at sea-level
Go Power required at an altitude = Power required at sea-level*sqrt([Std-Air-Density-Sea]/Density)
Velocity at Altitude given Velocity at Sea-Level
Go Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density)
Dynamic pressure given induced drag
Go Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral plane span^2)
Dynamic pressure given mach number
Go Dynamic Pressure = 1/2*Ambient air density*(Mach Number*Sonic speed)^2
Dynamic pressure given normal pressure
Go Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2
Flight speed given dynamic pressure
Go Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density)
Dynamic pressure aircraft
Go Dynamic Pressure = 1/2*Ambient air density*Flight speed^2
Dynamic pressure given lift coefficient
Go Dynamic Pressure = Lift Force/Lift Coefficient
Dynamic pressure given drag coefficient
Go Dynamic Pressure = Drag Force/Drag Coefficient
Aerodynamic force
Go Aerodynamic Force = Drag Force+Lift Force
Mach number of moving object
Go Mach Number = Velocity/Speed of Sound

Velocity at Altitude given Velocity at Sea-Level Formula

Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density)
Valt = V0*sqrt([Std-Air-Density-Sea]/ρ0)

Why are aircrafts flown at different altitudes?

Altitudes are largely selected based on the best combination of fuel efficiency and wind direction/speed, and weather (thunderstorms, icing, turbulence, etc).

How to Calculate Velocity at Altitude given Velocity at Sea-Level?

Velocity at Altitude given Velocity at Sea-Level calculator uses Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density) to calculate the Velocity at an altitude, The Velocity at Altitude given Velocity at Sea-Level is a function of the density of air at that altitude. Velocity at an altitude is denoted by Valt symbol.

How to calculate Velocity at Altitude given Velocity at Sea-Level using this online calculator? To use this online calculator for Velocity at Altitude given Velocity at Sea-Level, enter Velocity at sea-level (V0) & Density 0) and hit the calculate button. Here is how the Velocity at Altitude given Velocity at Sea-Level calculation can be explained with given input values -> 7.02196 = 6.7*sqrt([Std-Air-Density-Sea]/997).

FAQ

What is Velocity at Altitude given Velocity at Sea-Level?
The Velocity at Altitude given Velocity at Sea-Level is a function of the density of air at that altitude and is represented as Valt = V0*sqrt([Std-Air-Density-Sea]/ρ0) or Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density). Velocity at sea-level is the distance traveled per unit time by aircraft at the sea-level condition & The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
How to calculate Velocity at Altitude given Velocity at Sea-Level?
The Velocity at Altitude given Velocity at Sea-Level is a function of the density of air at that altitude is calculated using Velocity at an altitude = Velocity at sea-level*sqrt([Std-Air-Density-Sea]/Density). To calculate Velocity at Altitude given Velocity at Sea-Level, you need Velocity at sea-level (V0) & Density 0). With our tool, you need to enter the respective value for Velocity at sea-level & Density 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 at an altitude?
In this formula, Velocity at an altitude uses Velocity at sea-level & Density. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity at an altitude = sqrt(2*Weight of body/(Density*Reference Area*Lift Coefficient))
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