Speed of Sound (Mach number) Calculator

✖True Aircraft Speed of an aircraft is the speed of the aircraft relative to the air mass through which it is flying.ⓘ True Aircraft Speed [V_TAS]			+10% -10%
✖True Mach Number of the aircraft. Mach number is a function of temperature and true airspeed. Aircraft flight instruments operate using pressure differential to compute Mach number, not temperature.ⓘ True Mach Number [M_True]			+10% -10%

✖Speed of Sound in the air is considered here and is denoted by c symbol.ⓘ Speed of Sound (Mach number) [c]

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Formula

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Speed of Sound (Mach number)

Formula

`"c" = "V"_{"TAS"}/"M"_{"True"}`

Example

`"47.5km/h"="190km/h"/"4"`

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Download Aircraft Runway Length Estimation Formulas PDF

Speed of Sound (Mach number) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Sound = True Aircraft Speed/True Mach Number
c = V_TAS/M_True
This formula uses 3 Variables

Variables Used

Speed of Sound - (Measured in Kilometer per Hour) - Speed of Sound in the air is considered here and is denoted by c symbol.
True Aircraft Speed - (Measured in Kilometer per Hour) - True Aircraft Speed of an aircraft is the speed of the aircraft relative to the air mass through which it is flying.
True Mach Number - True Mach Number of the aircraft. Mach number is a function of temperature and true airspeed. Aircraft flight instruments operate using pressure differential to compute Mach number, not temperature.

STEP 1: Convert Input(s) to Base Unit

True Aircraft Speed: 190 Kilometer per Hour --> 190 Kilometer per Hour No Conversion Required
True Mach Number: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = V_TAS/M_True --> 190/4

Evaluating ... ...

c = 47.5

STEP 3: Convert Result to Output's Unit

13.1944444444444 Meter per Second -->47.5 Kilometer per Hour (Check conversion here)

FINAL ANSWER

47.5 Kilometer per Hour <-- Speed of Sound

(Calculation completed in 00.004 seconds)

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Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 11 Aircraft Runway Length Estimation Calculators

Lifting Force given Friction Force due to Rolling Resistance

Go Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction)))

Vehicle Speed for Lifting Force Provided by Wing Body of Vehicle

Go Vehicle Speed = sqrt((Lifting Force of Aircraft/(0.5*Density Altitude for flying*Aircraft Gross Wing Area*Lift Coefficient)))

Lift Coefficient for Lifting Force Provided by Wing Body of Vehicle

Go Lift Coefficient = Lifting Force of Aircraft/(0.5*Density Altitude for flying*(Vehicle Speed^2)*Aircraft Gross Wing Area)

Lifting Force Provided by Wing Body of Vehicle

Go Lifting Force of Aircraft = 0.5*Density Altitude for flying*Vehicle Speed^2*Aircraft Gross Wing Area*Lift Coefficient

Operating Empty Weight when Desired Take-off Weight is considered

Go Operating Empty Weight = Desired Takeoff Weight of Aircraft-Payload Carried-Fuel Weight to be carried

Payload carried when desired take-off weight is considered

Go Payload Carried = Desired Takeoff Weight of Aircraft-Operating Empty Weight-Fuel Weight to be carried

Fuel Weight to be Carried given Desired Takeoff Weight

Go Fuel Weight to be carried = Desired Takeoff Weight of Aircraft-Payload Carried-Operating Empty Weight

Desired Take off Weight

Go Desired Takeoff Weight of Aircraft = Payload Carried+Operating Empty Weight+Fuel Weight to be carried

True Mach number when true aircraft speed

Go True Mach Number = True Aircraft Speed/Speed of Sound

True Aircraft Speed (Mach number)

Go True Aircraft Speed = Speed of Sound*True Mach Number

Speed of Sound (Mach number)

Go Speed of Sound = True Aircraft Speed/True Mach Number

Speed of Sound (Mach number) Formula

Speed of Sound = True Aircraft Speed/True Mach Number
c = V_TAS/M_True

What is Maximum Structural Payload Weight ?

Maximum Structural Payload Weight (or mass) is the maximum demonstrated payload to be carried without stressing the aircraft fuselage. Maximum zero fuel weight (or mass) is the sum of the operating empty weight and the maximum structural payload weight.

What is Mach number?

The ratio between the the true air speed (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 Speed of Sound (Mach number)?

Speed of Sound (Mach number) calculator uses Speed of Sound = True Aircraft Speed/True Mach Number to calculate the Speed of Sound, Speed of Sound (Mach number) is defined as the ratio of equivalent aircraft speed to that of the true match number. Speed of Sound is denoted by c symbol.

How to calculate Speed of Sound (Mach number) using this online calculator? To use this online calculator for Speed of Sound (Mach number), enter True Aircraft Speed (V_TAS) & True Mach Number (M_True) and hit the calculate button. Here is how the Speed of Sound (Mach number) calculation can be explained with given input values -> 171 = 52.7777777777778/4.

FAQ

What is Speed of Sound (Mach number)?

Speed of Sound (Mach number) is defined as the ratio of equivalent aircraft speed to that of the true match number and is represented as c = V_TAS/M_True or Speed of Sound = True Aircraft Speed/True Mach Number. True Aircraft Speed of an aircraft is the speed of the aircraft relative to the air mass through which it is flying & True Mach Number of the aircraft. Mach number is a function of temperature and true airspeed. Aircraft flight instruments operate using pressure differential to compute Mach number, not temperature.

How to calculate Speed of Sound (Mach number)?

Speed of Sound (Mach number) is defined as the ratio of equivalent aircraft speed to that of the true match number is calculated using Speed of Sound = True Aircraft Speed/True Mach Number. To calculate Speed of Sound (Mach number), you need True Aircraft Speed (V_TAS) & True Mach Number (M_True). With our tool, you need to enter the respective value for True Aircraft Speed & True Mach Number 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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