Velocity of Wave in String Calculator

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✖Tension of String is described as the pulling force transmitted axially by the means of a string.ⓘ Tension of String [T]			+10% -10%
✖Mass per Unit length is the mass of an object distributed over the unit length of the object.ⓘ Mass per Unit Length [m]			+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 Wave in String [V_w]

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Formula

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Velocity of Wave in String

Formula

`"V"_{"w"} = sqrt("T"/"m")`

Example

`"2.886751m/s"=sqrt("100N"/"12kg/m")`

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Velocity of Wave in String Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Wave = sqrt(Tension of String/Mass per Unit Length)
V_w = sqrt(T/m)
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.
Tension of String - (Measured in Newton) - Tension of String is described as the pulling force transmitted axially by the means of a string.
Mass per Unit Length - (Measured in Kilogram per Meter) - Mass per Unit length is the mass of an object distributed over the unit length of the object.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 100 Newton --> 100 Newton No Conversion Required
Mass per Unit Length: 12 Kilogram per Meter --> 12 Kilogram per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w = sqrt(T/m) --> sqrt(100/12)

Evaluating ... ...

V_w = 2.88675134594813

STEP 3: Convert Result to Output's Unit

2.88675134594813 Meter per Second --> No Conversion Required

FINAL ANSWER

2.88675134594813 ≈ 2.886751 Meter per Second <-- Velocity of Wave

(Calculation completed in 00.020 seconds)

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Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Team Softusvista

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< 5 Velocity of Wave Calculators

Velocity of Wave in String

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

Velocity of Progressive Wave given Angular Frequency

Go Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)

Velocity of Progressive Wave

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

Velocity of Wave given Wave Number

Go Velocity of Wave = Angular Frequency/Wave Number

Velocity of Progressive Wave using Frequency

Go Velocity of Wave = Wavelength*Wave Frequency

Velocity of Wave in String Formula

Velocity of Wave = sqrt(Tension of String/Mass per Unit Length)
V_w = sqrt(T/m)

What are three types of sound waves?

Sound waves fall into three categories: longitudinal waves, mechanical waves, and pressure waves, particular auditory impression , the sensation perceived by the sense of hearing, mechanical radiant energy that is transmitted by longitudinal pressure waves in a material medium (such as air) and is the objective cause of hearing.

How to Calculate Velocity of Wave in String?

Velocity of Wave in String calculator uses Velocity of Wave = sqrt(Tension of String/Mass per Unit Length) to calculate the Velocity of Wave, Velocity of Wave in String in common usage refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity. Velocity of Wave is denoted by V_w symbol.

How to calculate Velocity of Wave in String using this online calculator? To use this online calculator for Velocity of Wave in String, enter Tension of String (T) & Mass per Unit Length (m) and hit the calculate button. Here is how the Velocity of Wave in String calculation can be explained with given input values -> 2.886751 = sqrt(100/12).

FAQ

What is Velocity of Wave in String?

Velocity of Wave in String in common usage refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity and is represented as V_w = sqrt(T/m) or Velocity of Wave = sqrt(Tension of String/Mass per Unit Length). Tension of String is described as the pulling force transmitted axially by the means of a string & Mass per Unit length is the mass of an object distributed over the unit length of the object.

How to calculate Velocity of Wave in String?

Velocity of Wave in String in common usage refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity is calculated using Velocity of Wave = sqrt(Tension of String/Mass per Unit Length). To calculate Velocity of Wave in String, you need Tension of String (T) & Mass per Unit Length (m). With our tool, you need to enter the respective value for Tension of String & Mass per Unit Length 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 Tension of String & Mass per Unit Length. We can use 4 other way(s) to calculate the same, which is/are as follows -

Velocity of Wave = Wavelength/Time Period of Progressive Wave
Velocity of Wave = (Wavelength*Angular Frequency)/(4*pi)
Velocity of Wave = Wavelength*Wave Frequency
Velocity of Wave = Angular Frequency/Wave Number

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