Velocity of Sound Wave given Bulk Modulus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
C = sqrt(K/ρa)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity of Sound in Medium - (Measured in Meter per Second) - Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave.
Bulk Modulus of Sound Medium - (Measured in Pascal) - Bulk Modulus of Sound Medium is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.
Density of Air Medium - (Measured in Kilogram per Cubic Meter) - Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
STEP 1: Convert Input(s) to Base Unit
Bulk Modulus of Sound Medium: 143000 Newton per Square Meter --> 143000 Pascal (Check conversion here)
Density of Air Medium: 1.29 Kilogram per Cubic Meter --> 1.29 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = sqrt(K/ρa) --> sqrt(143000/1.29)
Evaluating ... ...
C = 332.945510824661
STEP 3: Convert Result to Output's Unit
332.945510824661 Meter per Second --> No Conversion Required
FINAL ANSWER
332.945510824661 332.9455 Meter per Second <-- Velocity of Sound in Medium
(Calculation completed in 00.020 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Bulk Modulus for Velocity of Sound Wave
Go Bulk Modulus of Sound Medium = Density of Air Medium*Velocity of Sound in Medium^2

Velocity of Sound Wave given Bulk Modulus Formula

Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
C = sqrt(K/ρa)

What is the velocity of sound in solids?

The speed of sound in solid is 6000 meters per second while the speed of sound in steel is equal to 5100 meters per second. Another interesting fact about the speed of the sound is that sound travels 35 times faster in diamonds than in the air.

Does speed of sound depends on elasticity?

As a result, sound waves travel faster in solids than in liquids, and faster in liquids than in gasses. While the density of a medium also affects the speed of sound, the elastic properties have a greater influence on the wave speed. The density of a medium is the second factor that affects the speed of sound.

How to Calculate Velocity of Sound Wave given Bulk Modulus?

Velocity of Sound Wave given Bulk Modulus calculator uses Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium) to calculate the Velocity of Sound in Medium, The Velocity of sound wave given bulk modulus formula is known while considering the square root with the ratio of the bulk modulus to the density which is applicable for both liquid and gases. Velocity of Sound in Medium is denoted by C symbol.

How to calculate Velocity of Sound Wave given Bulk Modulus using this online calculator? To use this online calculator for Velocity of Sound Wave given Bulk Modulus, enter Bulk Modulus of Sound Medium (K) & Density of Air Medium a) and hit the calculate button. Here is how the Velocity of Sound Wave given Bulk Modulus calculation can be explained with given input values -> 332.9455 = sqrt(143000/1.29).

FAQ

What is Velocity of Sound Wave given Bulk Modulus?
The Velocity of sound wave given bulk modulus formula is known while considering the square root with the ratio of the bulk modulus to the density which is applicable for both liquid and gases and is represented as C = sqrt(K/ρa) or Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). Bulk Modulus of Sound Medium is a measure of the ability of a substance to withstand changes in volume when under compression on all sides & Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
How to calculate Velocity of Sound Wave given Bulk Modulus?
The Velocity of sound wave given bulk modulus formula is known while considering the square root with the ratio of the bulk modulus to the density which is applicable for both liquid and gases is calculated using Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). To calculate Velocity of Sound Wave given Bulk Modulus, you need Bulk Modulus of Sound Medium (K) & Density of Air Medium a). With our tool, you need to enter the respective value for Bulk Modulus of Sound Medium & Density of Air Medium 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 Velocity of Sound in Medium?
In this formula, Velocity of Sound in Medium uses Bulk Modulus of Sound Medium & Density of Air Medium. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow
  • Velocity of Sound in Medium = Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)
  • Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
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