Flight speed given dynamic pressure Calculator

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✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure [q]			+10% -10%
✖Ambient air density is the mass per unit volume of Earth's atmosphere.ⓘ Ambient air density [ρ]			+10% -10%

✖Flight speed is defined as an airspeed sufficient to provide the lift necessary to support an airplane in level flight.ⓘ Flight speed given dynamic pressure [V_fs]

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Formula

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Flight speed given dynamic pressure

Formula

`"V"_{"fs"} = sqrt((2*"q")/"ρ")`

Example

`"10.72856m/s"=sqrt((2*"70.5Pa")/"1.225kg/m³")`

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Flight speed given dynamic pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density)
V_fs = sqrt((2*q)/ρ)
This formula uses 1 Functions, 3 Variables

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

Flight speed - (Measured in Meter per Second) - Flight speed is defined as an airspeed sufficient to provide the lift necessary to support an airplane in level flight.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Ambient air density - (Measured in Kilogram per Cubic Meter) - Ambient air density is the mass per unit volume of Earth's atmosphere.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 70.5 Pascal --> 70.5 Pascal No Conversion Required
Ambient air density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_fs = sqrt((2*q)/ρ) --> sqrt((2*70.5)/1.225)

Evaluating ... ...

V_fs = 10.7285619174392

STEP 3: Convert Result to Output's Unit

10.7285619174392 Meter per Second --> No Conversion Required

FINAL ANSWER

10.7285619174392 ≈ 10.72856 Meter per Second <-- Flight speed

(Calculation completed in 00.004 seconds)

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Created by Himanshu Sharma

National Institute of Technology, Hamirpur (NITH), Himachal Pradesh

Himanshu Sharma has created this Calculator and 50+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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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

Flight speed given dynamic pressure Formula

Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density)
V_fs = sqrt((2*q)/ρ)

What is flight speed?

In aviation, V-speeds are standard terms used to define airspeeds important or useful to the operation of all aircraft. These speeds are derived from data obtained by aircraft designers and manufacturers during flight testing for aircraft type-certification.

How to Calculate Flight speed given dynamic pressure?

Flight speed given dynamic pressure calculator uses Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density) to calculate the Flight speed, The Flight speed given dynamic pressure formula is defined as the speed of the object in the air evaluated using ambient air density and the pressure. Flight speed is denoted by V_fs symbol.

How to calculate Flight speed given dynamic pressure using this online calculator? To use this online calculator for Flight speed given dynamic pressure, enter Dynamic Pressure (q) & Ambient air density (ρ) and hit the calculate button. Here is how the Flight speed given dynamic pressure calculation can be explained with given input values -> 10.72856 = sqrt((2*70.5)/1.225).

FAQ

What is Flight speed given dynamic pressure?

The Flight speed given dynamic pressure formula is defined as the speed of the object in the air evaluated using ambient air density and the pressure and is represented as V_fs = sqrt((2*q)/ρ) or Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density). Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid & Ambient air density is the mass per unit volume of Earth's atmosphere.

How to calculate Flight speed given dynamic pressure?

The Flight speed given dynamic pressure formula is defined as the speed of the object in the air evaluated using ambient air density and the pressure is calculated using Flight speed = sqrt((2*Dynamic Pressure)/Ambient air density). To calculate Flight speed given dynamic pressure, you need Dynamic Pressure (q) & Ambient air density (ρ). With our tool, you need to enter the respective value for Dynamic Pressure & Ambient air density 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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