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Flight Speed given Dynamic Pressure Formula

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Flight Speed is defined as an airspeed sufficient to provide the lift necessary to support an airplane in level flight. Check FAQs

V fs = \sqrt{\frac{2 \cdot q}{ρ}}

V_fs - Flight Speed?q - Dynamic Pressure?ρ - Ambient Air Density?

Flight Speed given Dynamic Pressure Example

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Here is how the Flight Speed given Dynamic Pressure equation looks like with Values.

Here is how the Flight Speed given Dynamic Pressure equation looks like with Units.

Here is how the Flight Speed given Dynamic Pressure equation looks like.

10.7286 = \sqrt{\frac{2 \cdot 70.5}{1.225}}

10.7286m/s = \sqrt{\frac{2 \cdot 70.5Pa}{1.225kg/m³}}

10.7286 = \sqrt{\frac{2 \cdot 70.5}{1.225}}

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Flight Speed given Dynamic Pressure Solution

Follow our step by step solution on how to calculate Flight Speed given Dynamic Pressure?

FIRST Step Consider the formula

V fs = \sqrt{\frac{2 \cdot q}{ρ}}

Next Step Substitute values of Variables

∴

V fs = \sqrt{\frac{2 \cdot 70.5Pa}{1.225kg/m³}}

Next Step Prepare to Evaluate

∴

V fs = \sqrt{\frac{2 \cdot 70.5}{1.225}}

Next Step Evaluate

∴

V fs = 10.7285619174392m/s

LAST Step Rounding Answer

∴

V fs = 10.7286m/s

Flight Speed given Dynamic Pressure Formula Elements

Variables

Functions

Flight Speed

Flight Speed is defined as an airspeed sufficient to provide the lift necessary to support an airplane in level flight.

Symbol: V_fs

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Speed

Dynamic Pressure

Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Ambient Air Density

Ambient Air Density is the mass per unit volume of Earth's atmosphere.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Ambient Air Density

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.

Syntax: sqrt(Number)

Other formulas in Preliminary Aerodynamics category

Go Velocity at Sea-Level given Lift Coefficient

V 0 = \sqrt{\frac{2 \cdot W body}{[Std-Air-Density-Sea] \cdot S \cdot C L}}

Go Power required at sea-level conditions

P R,0 = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{[Std-Air-Density-Sea] \cdot S \cdot {C L}^{3}}}

Go Velocity at Altitude

V alt = \sqrt{2 \cdot \frac{W body}{ρ 0 \cdot S \cdot C L}}

Go Power required at Altitude

P R,alt = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{ρ 0 \cdot S \cdot {C L}^{3}}}

How to Evaluate Flight Speed given Dynamic Pressure?

Flight Speed given Dynamic Pressure evaluator uses Flight Speed = sqrt((2*Dynamic Pressure)/Ambient Air Density) to evaluate the Flight Speed, Flight Speed given Dynamic Pressure is a measure of the speed of an object, such as an aircraft, calculated based on the dynamic pressure and ambient air density, it is a fundamental concept in aerodynamics, where the dynamic pressure is a measure of the air pressure exerted on an object moving through the air, and the ambient air density is the density of the air surrounding the object. Flight Speed is denoted by V_fs symbol.

How to evaluate Flight Speed given Dynamic Pressure using this online evaluator? To use this online evaluator for Flight Speed given Dynamic Pressure, enter Dynamic Pressure (q) & Ambient Air Density (ρ) and hit the calculate button.

FAQs on Flight Speed given Dynamic Pressure

What is the formula to find Flight Speed given Dynamic Pressure?

The formula of Flight Speed given Dynamic Pressure is expressed as Flight Speed = sqrt((2*Dynamic Pressure)/Ambient Air Density). Here is an example- 10.72856 = sqrt((2*70.5)/1.225).

How to calculate Flight Speed given Dynamic Pressure?

With Dynamic Pressure (q) & Ambient Air Density (ρ) we can find Flight Speed given Dynamic Pressure using the formula - Flight Speed = sqrt((2*Dynamic Pressure)/Ambient Air Density). This formula also uses Square Root (sqrt) function(s).

Can the Flight Speed given Dynamic Pressure be negative?

No, the Flight Speed given Dynamic Pressure, measured in Speed cannot be negative.

Which unit is used to measure Flight Speed given Dynamic Pressure?

Flight Speed given Dynamic Pressure is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Flight Speed given Dynamic Pressure can be measured.

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Flight Speed given Dynamic Pressure Formula

Flight Speed given Dynamic Pressure Example

Flight Speed given Dynamic Pressure Solution

Flight Speed given Dynamic Pressure Formula Elements

Other formulas in Preliminary Aerodynamics category

How to Evaluate Flight Speed given Dynamic Pressure?

FAQs on Flight Speed given Dynamic Pressure

Variable Name