Dynamic pressure given normal pressure Calculator

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✖Specific heat of air is the heat required to raise the temperature of a air by one degree to that required to raise the temperature of an equal mass of water one degree.ⓘ Specific Heat of Air [cp]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+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%

✖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 normal pressure [q]

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Dynamic pressure given normal pressure

Formula

`"q" = 1/2*"cp"*"p"*"M"_{"r"}^2`

Example

`"70.59468Pa"=1/2*"0.003J/(kg*K)"*"800Pa"*("7.67")^2`

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Dynamic pressure given normal pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2
q = 1/2*cp*p*M_r^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.
Specific Heat of Air - (Measured in Joule per Kilogram per K) - Specific heat of air is the heat required to raise the temperature of a air by one degree to that required to raise the temperature of an equal mass of water one degree.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Mach Number - Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.

STEP 1: Convert Input(s) to Base Unit

Specific Heat of Air: 0.003 Joule per Kilogram per K --> 0.003 Joule per Kilogram per K No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Mach Number: 7.67 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = 1/2*cp*p*M_r^2 --> 1/2*0.003*800*7.67^2

Evaluating ... ...

q = 70.59468

STEP 3: Convert Result to Output's Unit

70.59468 Pascal --> No Conversion Required

FINAL ANSWER

70.59468 Pascal <-- Dynamic 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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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

Dynamic pressure given normal pressure Formula

Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2
q = 1/2*cp*p*M_r^2

What is dynamic pressure?

the 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 is dynamic pressure.

How to Calculate Dynamic pressure given normal pressure?

Dynamic pressure given normal pressure calculator uses Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2 to calculate the Dynamic Pressure, The Dynamic pressure given normal pressure formula is defined as the pressure exerted by the medium in a resting state with a value of specific heat of air and normal pressure. Dynamic Pressure is denoted by q symbol.

How to calculate Dynamic pressure given normal pressure using this online calculator? To use this online calculator for Dynamic pressure given normal pressure, enter Specific Heat of Air (cp), Pressure (p) & Mach Number (M_r) and hit the calculate button. Here is how the Dynamic pressure given normal pressure calculation can be explained with given input values -> 70.96332 = 1/2*0.003*800*7.67^2.

FAQ

What is Dynamic pressure given normal pressure?

The Dynamic pressure given normal pressure formula is defined as the pressure exerted by the medium in a resting state with a value of specific heat of air and normal pressure and is represented as q = 1/2*cp*p*M_r^2 or Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2. Specific heat of air is the heat required to raise the temperature of a air by one degree to that required to raise the temperature of an equal mass of water one degree, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.

How to calculate Dynamic pressure given normal pressure?

The Dynamic pressure given normal pressure formula is defined as the pressure exerted by the medium in a resting state with a value of specific heat of air and normal pressure is calculated using Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2. To calculate Dynamic pressure given normal pressure, you need Specific Heat of Air (cp), Pressure (p) & Mach Number (M_r). With our tool, you need to enter the respective value for Specific Heat of Air, Pressure & Mach Number 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 Specific Heat of Air, Pressure & Mach Number. We can use 6 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
Dynamic Pressure = 1/2*Ambient air density*(Mach Number*Sonic speed)^2
Dynamic Pressure = 1/2*Ambient air density*Mach Number^2*Specific Heat of Air*Gas Constant*Temperature
Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral plane span^2)

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