Velocity of Wave in String Calculator

✖Tension of String is the force exerted by the string on the object attached to it, causing the string to vibrate and produce waves.ⓘ Tension of String [T]			+10% -10%
✖Mass per Unit Length is a measure of the amount of mass per unit length of a wave, which is an important property in understanding the behavior of waves in various physical systems.ⓘ Mass per Unit Length [m]			+10% -10%

✖Velocity of Wave is the speed at which a wave propagates through a medium, characterizing how quickly the disturbance travels from one point to another in a wave pattern.ⓘ 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{\frac{T}{m}}

Example

61 m/s = \sqrt{\frac{186.05 N}{0.05 kg/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) - Velocity of Wave is the speed at which a wave propagates through a medium, characterizing how quickly the disturbance travels from one point to another in a wave pattern.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by the string on the object attached to it, causing the string to vibrate and produce waves.
Mass per Unit Length - (Measured in Kilogram per Meter) - Mass per Unit Length is a measure of the amount of mass per unit length of a wave, which is an important property in understanding the behavior of waves in various physical systems.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 186.05 Newton --> 186.05 Newton No Conversion Required
Mass per Unit Length: 0.05 Kilogram per Meter --> 0.05 Kilogram per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_w = sqrt(T/m) --> sqrt(186.05/0.05)

Evaluating ... ...

V_w = 61

STEP 3: Convert Result to Output's Unit

61 Meter per Second --> No Conversion Required

FINAL ANSWER

61 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

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

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< Wave Equations Calculators

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

Angular Frequency using Frequency

Go Angular Frequency = 2*pi*Wave Frequency

Time Period using Frequency

Go Time Period of Progressive Wave = 1/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 is sound waves?

Sound waves are mechanical waves that travel through a medium, such as air, water, or solids, by causing the particles in the medium to vibrate. These vibrations propagate as compressions and rarefactions, carrying sound energy from the source to the listener. Sound waves are characterized by their frequency, wavelength, amplitude, and speed.

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 -> 44.72136 = sqrt(186.05/0.05).

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 the force exerted by the string on the object attached to it, causing the string to vibrate and produce waves & Mass per Unit Length is a measure of the amount of mass per unit length of a wave, which is an important property in understanding the behavior of waves in various physical systems.

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 3 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)/(2*pi)
Velocity of Wave = Wavelength*Wave Frequency

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