Mach number of moving object Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mach Number = Velocity/Speed of Sound
Mr = v/c
This formula uses 3 Variables
Variables Used
Mach Number - Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Speed of Sound - (Measured in Meter per Second) - Speed of Sound in the air is considered here and is denoted by c symbol.
STEP 1: Convert Input(s) to Base Unit
Velocity: 24200 Meter per Second --> 24200 Meter per Second No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mr = v/c --> 24200/343
Evaluating ... ...
Mr = 70.5539358600583
STEP 3: Convert Result to Output's Unit
70.5539358600583 --> No Conversion Required
FINAL ANSWER
70.5539358600583 70.55394 <-- Mach Number
(Calculation completed in 00.004 seconds)

Credits

Created by Abhinav Gupta
Defence institute of advanced technology (DRDO) (DIAT), pune
Abhinav Gupta has created this Calculator and 10+ more calculators!
Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune
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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

Mach number of moving object Formula

Mach Number = Velocity/Speed of Sound
Mr = v/c

Mach number of moving object

Mach number of moving object is defined as the ratio of velocity of object with respect to velocity of soundSpeed below the speed of sound is termed as subsonic whereas speed above the speed of sound is termed as supersonic, although scientists practising aerodynamics most of the time use these terms to describe a particular range of Mach values.

Significance of Mach number

The Mach number due to the local speed of sound is dependent on the surrounding mediums in specific temperature and pressure. Flow can be determined as an incompressible flow with the help of the Mach number. The medium can either be a liquid or a gas. The medium can be flowing, whereas the boundary may be stable or the boundary may be travelling in a medium that is at rest. The medium and boundary both may be travelling with a certain speed, but their velocities with respect to each other are what matters. The medium may be channelled through several devices such as wind tunnels or may be immersed in the medium. The Mach number is termed as a dimensionless number because it is a ratio of two speeds.

How to Calculate Mach number of moving object?

Mach number of moving object calculator uses Mach Number = Velocity/Speed of Sound to calculate the Mach Number, The Mach number of moving object is defined as the ratio of its speed with respect to speed of sound. Mach Number is denoted by Mr symbol.

How to calculate Mach number of moving object using this online calculator? To use this online calculator for Mach number of moving object, enter Velocity (v) & Speed of Sound (c) and hit the calculate button. Here is how the Mach number of moving object calculation can be explained with given input values -> 0.174927 = 24200/343.

FAQ

What is Mach number of moving object?
The Mach number of moving object is defined as the ratio of its speed with respect to speed of sound and is represented as Mr = v/c or Mach Number = Velocity/Speed of Sound. Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Speed of Sound in the air is considered here and is denoted by c symbol.
How to calculate Mach number of moving object?
The Mach number of moving object is defined as the ratio of its speed with respect to speed of sound is calculated using Mach Number = Velocity/Speed of Sound. To calculate Mach number of moving object, you need Velocity (v) & Speed of Sound (c). With our tool, you need to enter the respective value for Velocity & Speed of Sound 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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