Velocity at Altitude given Velocity at Sea-Level Calculator

✖Velocity at Sea-Level is the distance traveled per unit of time by aircraft at sea-level conditions.ⓘ Velocity at Sea-Level [V₀]			+10% -10%
✖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.ⓘ Density [ρ₀]			+10% -10%

✖Velocity at an Altitude is the velocity of an aircraft at a given altitude (or density).ⓘ Velocity at Altitude given Velocity at Sea-Level [V_alt]

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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)
V_alt = 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 of time by aircraft at sea-level conditions.
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

V_alt = V₀*sqrt([Std-Air-Density-Sea]/ρ₀) --> 6.7*sqrt([Std-Air-Density-Sea]/997)

Evaluating ... ...

V_alt = 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 00.004 seconds)

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Created by Vinay Mishra

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

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< Preliminary Aerodynamics Calculators

Power required at sea-level conditions

LaTeX Go Power Required at Sea-level = sqrt((2*Weight of Body^3*Drag Coefficient^2)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient^3))

Power required at Altitude

LaTeX Go Power Required at Altitude = sqrt((2*Weight of Body^3*Drag Coefficient^2)/(Density*Reference Area*Lift Coefficient^3))

Velocity at Sea-Level given Lift Coefficient

LaTeX Go Velocity at Sea-Level = sqrt((2*Weight of Body)/([Std-Air-Density-Sea]*Reference Area*Lift Coefficient))

Velocity at Altitude

LaTeX Go Velocity at an Altitude = sqrt(2*Weight of Body/(Density*Reference Area*Lift Coefficient))

Velocity at Altitude given Velocity at Sea-Level Formula

LaTeX Go

Velocity at an Altitude = Velocity at Sea-Level*sqrt([Std-Air-Density-Sea]/Density)
V_alt = 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, Velocity at Altitude given Velocity at Sea-Level is a measure of the velocity of an object at a certain altitude, calculated by multiplying the velocity at sea level by the square root of the ratio of the standard air density at sea level to the air density at the given altitude. Velocity at an Altitude is denoted by V_alt 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 (ρ₀) 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?

Velocity at Altitude given Velocity at Sea-Level is a measure of the velocity of an object at a certain altitude, calculated by multiplying the velocity at sea level by the square root of the ratio of the standard air density at sea level to the air density at the given altitude and is represented as V_alt = 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 of time by aircraft at sea-level conditions & 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?

Velocity at Altitude given Velocity at Sea-Level is a measure of the velocity of an object at a certain altitude, calculated by multiplying the velocity at sea level by the square root of the ratio of the standard air density at sea level to the air density at the given 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 (ρ₀). 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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