Dynamic Pressure given Mach Number Calculator

✖Ambient Air Density is the mass per unit volume of Earth's atmosphere.ⓘ Ambient Air Density [ρ]			+10% -10%
✖Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.ⓘ Mach Number [M_r]			+10% -10%
✖Sonic Speed is when the local flow velocity is equal to the speed of the sound (the speed at which the disturbance propagates) is know as the sonic speed.ⓘ Sonic Speed [a]			+10% -10%

✖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 given Mach Number [q]

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Dynamic Pressure given Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure = 1/2*Ambient Air Density*(Mach Number*Sonic Speed)^2
q = 1/2*ρ*(M_r*a)^2
This formula uses 4 Variables

Variables Used

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.
Mach Number - Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.
Sonic Speed - (Measured in Meter per Second) - Sonic Speed is when the local flow velocity is equal to the speed of the sound (the speed at which the disturbance propagates) is know as the sonic speed.

STEP 1: Convert Input(s) to Base Unit

Ambient Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Mach Number: 7.67 --> No Conversion Required
Sonic Speed: 1.399 Meter per Second --> 1.399 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = 1/2*ρ*(M_r*a)^2 --> 1/2*1.225*(7.67*1.399)^2

Evaluating ... ...

q = 70.5232389192013

STEP 3: Convert Result to Output's Unit

70.5232389192013 Pascal --> No Conversion Required

FINAL ANSWER

70.5232389192013 ≈ 70.52324 Pascal <-- Dynamic Pressure

(Calculation completed in 00.004 seconds)

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

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< Preliminary Aerodynamics Calculators

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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))

Dynamic Pressure given Mach Number Formula

LaTeX Go

Dynamic Pressure = 1/2*Ambient Air Density*(Mach Number*Sonic Speed)^2
q = 1/2*ρ*(M_r*a)^2

What is dynamic pressure?

THe dynamic pressure on a surface at which a flowing fluid is brought to rest in excess of the pressure on it when the fluid is not flowing.

How to Calculate Dynamic Pressure given Mach Number?

Dynamic Pressure given Mach Number calculator uses Dynamic Pressure = 1/2*Ambient Air Density*(Mach Number*Sonic Speed)^2 to calculate the Dynamic Pressure, Dynamic Pressure given Mach Number is a measure of the pressure exerted by the air in motion, calculated as half the product of ambient air density and the square of the mach number multiplied by the sonic speed. Dynamic Pressure is denoted by q symbol.

How to calculate Dynamic Pressure given Mach Number using this online calculator? To use this online calculator for Dynamic Pressure given Mach Number, enter Ambient Air Density (ρ), Mach Number (M_r) & Sonic Speed (a) and hit the calculate button. Here is how the Dynamic Pressure given Mach Number calculation can be explained with given input values -> 70.62409 = 1/2*1.225*(7.67*1.399)^2.

FAQ

What is Dynamic Pressure given Mach Number?

Dynamic Pressure given Mach Number is a measure of the pressure exerted by the air in motion, calculated as half the product of ambient air density and the square of the mach number multiplied by the sonic speed and is represented as q = 1/2*ρ*(M_r*a)^2 or Dynamic Pressure = 1/2*Ambient Air Density*(Mach Number*Sonic Speed)^2. Ambient Air Density is the mass per unit volume of Earth's atmosphere, Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound & Sonic Speed is when the local flow velocity is equal to the speed of the sound (the speed at which the disturbance propagates) is know as the sonic speed.

How to calculate Dynamic Pressure given Mach Number?

Dynamic Pressure given Mach Number is a measure of the pressure exerted by the air in motion, calculated as half the product of ambient air density and the square of the mach number multiplied by the sonic speed is calculated using Dynamic Pressure = 1/2*Ambient Air Density*(Mach Number*Sonic Speed)^2. To calculate Dynamic Pressure given Mach Number, you need Ambient Air Density (ρ), Mach Number (M_r) & Sonic Speed (a). With our tool, you need to enter the respective value for Ambient Air Density, Mach Number & Sonic Speed 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 Dynamic Pressure?

In this formula, Dynamic Pressure uses Ambient Air Density, Mach Number & Sonic Speed. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Pressure = Lift Force/Lift Coefficient
Dynamic Pressure = Drag Force/Drag Coefficient
Dynamic Pressure = 1/2*Ambient Air Density*Flight Speed^2

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