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Mach Number Calculator

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✖Speed of Object is equal to the distance travelled by the body in one second.ⓘ Speed of Object [V_b]			+10% -10%
✖The Speed of Sound is defined as speed of the dynamic propagation of sound waves.ⓘ Speed of Sound [a]			+10% -10%

✖Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number [M]

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Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = Speed of Object/Speed of Sound
M = V_b/a
This formula uses 3 Variables

Variables Used

Mach Number - Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Speed of Object - (Measured in Meter per Second) - Speed of Object is equal to the distance travelled by the body in one second.
Speed of Sound - (Measured in Meter per Second) - The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

STEP 1: Convert Input(s) to Base Unit

Speed of Object: 700 Meter per Second --> 700 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

M = V_b/a --> 700/343

Evaluating ... ...

M = 2.04081632653061

STEP 3: Convert Result to Output's Unit

2.04081632653061 --> No Conversion Required

FINAL ANSWER

2.04081632653061 ≈ 2.040816 <-- Mach Number

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Mach Number Formula

LaTeX Go

Mach Number = Speed of Object/Speed of Sound
M = V_b/a

Where do we have the value of Mach number as 1?

If the Mach number is ~ 1, the flow speed is approximately like the speed of sound - and the speed is transonic. If the Mach number is > 1, the flow speed is higher than the speed of sound - and the speed is supersonic.

What is Mach number in aircraft?

The ratio between the true airspeed (TAS) and the local speed of sound (LSS). This ratio, which equals one when the TAS is equal to the LSS, is known as the Mach Number (M) and is very important in aircraft operating at high speed.

How to Calculate Mach Number?

Mach Number calculator uses Mach Number = Speed of Object/Speed of Sound to calculate the Mach Number, Mach Number formula is defined as the ratio of the speed of an object to the speed of sound in the surrounding medium. It is a crucial parameter in aerodynamics, particularly in analyzing compressible flow and shock waves. Mach Number is denoted by M symbol.

How to calculate Mach Number using this online calculator? To use this online calculator for Mach Number, enter Speed of Object (V_b) & Speed of Sound (a) and hit the calculate button. Here is how the Mach Number calculation can be explained with given input values -> 2.040816 = 700/343.

FAQ

What is Mach Number?

Mach Number formula is defined as the ratio of the speed of an object to the speed of sound in the surrounding medium. It is a crucial parameter in aerodynamics, particularly in analyzing compressible flow and shock waves and is represented as M = V_b/a or Mach Number = Speed of Object/Speed of Sound. Speed of Object is equal to the distance travelled by the body in one second & The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

How to calculate Mach Number?

Mach Number formula is defined as the ratio of the speed of an object to the speed of sound in the surrounding medium. It is a crucial parameter in aerodynamics, particularly in analyzing compressible flow and shock waves is calculated using Mach Number = Speed of Object/Speed of Sound. To calculate Mach Number, you need Speed of Object (V_b) & Speed of Sound (a). With our tool, you need to enter the respective value for Speed of Object & 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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