Speed of Sound (Mach number) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Speed of Sound = True Aircraft Speed/True Mach Number
c = VTAS/MTrue
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 = VTAS/MTrue --> 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 00.019 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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Speed of Sound (Mach number) Formula

​LaTeX ​Go
Speed of Sound = True Aircraft Speed/True Mach Number
c = VTAS/MTrue

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 (VTAS) & True Mach Number (MTrue) 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 = VTAS/MTrue 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 (VTAS) & True Mach Number (MTrue). 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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