Velocity of Sound in Solids Calculator

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✖Elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.ⓘ Elasticity [E]			+10% -10%
✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%

✖The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.ⓘ Velocity of Sound in Solids [V_w]

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Velocity of Sound in Solids

Formula

`"V"_{"w"} = sqrt("E"/"ρ")`

Example

`"0.10015m/s"=sqrt("10Pa"/"997kg/m³")`

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Velocity of Sound in Solids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Wave = sqrt(Elasticity/Density)
V_w = sqrt(E/ρ)
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 Wave - (Measured in Meter per Second) - The Velocity of Wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity.
Elasticity - (Measured in Pascal) - Elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

STEP 1: Convert Input(s) to Base Unit

Elasticity: 10 Pascal --> 10 Pascal No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w = sqrt(E/ρ) --> sqrt(10/997)

Evaluating ... ...

V_w = 0.100150338345971

STEP 3: Convert Result to Output's Unit

0.100150338345971 Meter per Second --> No Conversion Required

FINAL ANSWER

0.100150338345971 ≈ 0.10015 Meter per Second <-- Velocity of Wave

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 16 Waves And Sound Calculators

Length of Open Organ Pipe

Go Length of Organ Pipe = Number of Nodes/2*Velocity of Wave/Wave Frequency

Loudness

Go Loudness = 10*log10(Sound Intensity/Reference Intensity)

Velocity of Sound in Liquid

Go Velocity of Wave = sqrt(Bulk Modulus/Density)

Velocity of Sound in Solids

Go Velocity of Wave = sqrt(Elasticity/Density)

Mass per Unit Length of String

Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Time Period given Velocity

Go Time Period of Progressive Wave = Wavelength/Velocity of Wave

Time Period using Angular Frequency

Go Time Period of Progressive Wave = (2*pi)/Angular Frequency

Tension in String

Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Length of Closed Organ Pipe

Go Length of Organ Pipe = (2*Number of Nodes+1)*Wavelength/4

Wave Number using Angular Frequency

Go Wave Number = Angular Frequency/Velocity of Wave

Frequency of Wavelength using Velocity

Go Wave Frequency = Velocity of Wave/Wavelength

Frequency of Progressive Wave

Go Wave Frequency = Angular Frequency/(2*pi)

Intensity of Sound

Go Sound Intensity = Power/Normal Area

Wave Number

Go Wave Number = (2*pi)/Wavelength

Frequency of Wave using Time Period

Go Wave Frequency = 1/Time Period of Progressive Wave

Time Period using Frequency

Go Time Period of Progressive Wave = 1/Wave Frequency

Velocity of Sound in Solids Formula

Velocity of Wave = sqrt(Elasticity/Density)
V_w = sqrt(E/ρ)

What is Simple Harmonic Motion?

Simple Harmonic Motion is a special type of periodic motion where the restoring force on the moving object is directly proportional to the object's displacement magnitude and acts towards the object's equilibrium position.

How to Calculate Velocity of Sound in Solids?

Velocity of Sound in Solids calculator uses Velocity of Wave = sqrt(Elasticity/Density) to calculate the Velocity of Wave, The velocity of Sound in Solids is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. Velocity of Wave is denoted by V_w symbol.

How to calculate Velocity of Sound in Solids using this online calculator? To use this online calculator for Velocity of Sound in Solids, enter Elasticity (E) & Density (ρ) and hit the calculate button. Here is how the Velocity of Sound in Solids calculation can be explained with given input values -> 0.10015 = sqrt(10/997).

FAQ

What is Velocity of Sound in Solids?

The velocity of Sound in Solids is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium and is represented as V_w = sqrt(E/ρ) or Velocity of Wave = sqrt(Elasticity/Density). Elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed & The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

How to calculate Velocity of Sound in Solids?

The velocity of Sound in Solids is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium is calculated using Velocity of Wave = sqrt(Elasticity/Density). To calculate Velocity of Sound in Solids, you need Elasticity (E) & Density (ρ). With our tool, you need to enter the respective value for Elasticity & Density 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 Wave?

In this formula, Velocity of Wave uses Elasticity & Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity of Wave = sqrt(Bulk Modulus/Density)

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