Ambient Pressure given Dynamic Pressure and Mach Number Calculator

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✖Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.ⓘ Dynamic Pressure [q]			+10% -10%
✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Heat Capacity Ratio [Y]			+10% -10%
✖Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.ⓘ Mach Number [M]			+10% -10%

✖Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion.ⓘ Ambient Pressure given Dynamic Pressure and Mach Number [P_static]

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Formula

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Ambient Pressure given Dynamic Pressure and Mach Number

Formula

`"P"_{"static"} = (2*"q")/("Y"*"M"^2)`

Example

`"0.223214Pa"=(2*"10Pa")/("1.4"*("8")^2)`

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Ambient Pressure given Dynamic Pressure and Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)
P_static = (2*q)/(Y*M^2)
This formula uses 4 Variables

Variables Used

Static Pressure - (Measured in Pascal) - Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Mach Number - Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Mach Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_static = (2*q)/(Y*M^2) --> (2*10)/(1.4*8^2)

Evaluating ... ...

P_static = 0.223214285714286

STEP 3: Convert Result to Output's Unit

0.223214285714286 Pascal --> No Conversion Required

FINAL ANSWER

0.223214285714286 ≈ 0.223214 Pascal <-- Static Pressure

(Calculation completed in 00.004 seconds)

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Created by Himanshu Sharma

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

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< 14 Atmosphere and Gas Properties Calculators

Mach Number given Dynamic Pressure

Go Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))

Ambient Air Density given Mach Number and Temperature

Go Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)

Temperature given Dynamic Pressure and Mach Number

Go Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio)

Gas constant given dynamic pressure

Go Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)

Equivalent Airspeed given Static Pressure

Go Equivalent Airspeed = Sonic Speed at Sea Level*Mach Number*(Static Pressure*6894.7573/Static Sea Level Pressure)^(0.5)

Geometric altitude for given geopotential altitude

Go Geometric Altitude = [Earth-R]*Geopotential altitude/([Earth-R]-Geopotential altitude)

Geopotential altitude

Go Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)

Mach Number given Static and Dynamic Pressure

Go Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))

Ambient Pressure given Dynamic Pressure and Mach Number

Go Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)

Ambient air density given mach number

Go Ambient Air Density = 2*Dynamic Pressure/(Mach Number*Sonic Speed)^2

Ambient air density given dynamic pressure

Go Ambient Air Density = 2*Dynamic Pressure/(Flight Speed^2)

Lapse rate

Go Lapse Rate = Change in Temperature/Altitude difference

Geometric altitude

Go Geometric Altitude = Absolute Altitude-[Earth-R]

Absolute altitude

Go Absolute Altitude = Geometric Altitude+[Earth-R]

Ambient Pressure given Dynamic Pressure and Mach Number Formula

Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)
P_static = (2*q)/(Y*M^2)

What is pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure is the pressure relative to the ambient pressure. Various units are used to express pressure.

How to Calculate Ambient Pressure given Dynamic Pressure and Mach Number?

Ambient Pressure given Dynamic Pressure and Mach Number calculator uses Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2) to calculate the Static Pressure, Ambient Pressure given Dynamic Pressure and Mach Number is defined as the pressure of surrounding air through which aircraft is moving. Static Pressure is denoted by P_static symbol.

How to calculate Ambient Pressure given Dynamic Pressure and Mach Number using this online calculator? To use this online calculator for Ambient Pressure given Dynamic Pressure and Mach Number, enter Dynamic Pressure (q), Heat Capacity Ratio (Y) & Mach Number (M) and hit the calculate button. Here is how the Ambient Pressure given Dynamic Pressure and Mach Number calculation can be explained with given input values -> 0.223214 = (2*10)/(1.4*8^2).

FAQ

What is Ambient Pressure given Dynamic Pressure and Mach Number?

Ambient Pressure given Dynamic Pressure and Mach Number is defined as the pressure of surrounding air through which aircraft is moving and is represented as P_static = (2*q)/(Y*M^2) or Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2). Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid, The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.

How to calculate Ambient Pressure given Dynamic Pressure and Mach Number?

Ambient Pressure given Dynamic Pressure and Mach Number is defined as the pressure of surrounding air through which aircraft is moving is calculated using Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2). To calculate Ambient Pressure given Dynamic Pressure and Mach Number, you need Dynamic Pressure (q), Heat Capacity Ratio (Y) & Mach Number (M). With our tool, you need to enter the respective value for Dynamic Pressure, Heat Capacity Ratio & Mach Number 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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