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*(Mr*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*(Mr*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)

Credits

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 mach number Formula

Dynamic Pressure = 1/2*Ambient air density*(Mach Number*Sonic speed)^2
q = 1/2*ρ*(Mr*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, The Dynamic pressure given mach number formula is defined as pressure of the surrounding air given air density and mach number and sonic speed of the object. 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 (Mr) & 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?
The Dynamic pressure given mach number formula is defined as pressure of the surrounding air given air density and mach number and sonic speed of the object and is represented as q = 1/2*ρ*(Mr*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?
The Dynamic pressure given mach number formula is defined as pressure of the surrounding air given air density and mach number and sonic speed of the object 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 (Mr) & 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 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^2*Specific Heat of Air*Gas Constant*Temperature
  • Dynamic Pressure = 1/2*Specific Heat of Air*Pressure*Mach Number^2
  • Dynamic Pressure = Lift Force^2/(pi*Induced Drag*Lateral plane span^2)
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