Velocity of Wave in String Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity = sqrt(Tension Of String/Mass per unit length)
v = sqrt(T/m)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
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: 10 Kilogram per Meter --> 10 Kilogram per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = sqrt(T/m) --> sqrt(100/10)
Evaluating ... ...
v = 3.16227766016838
STEP 3: Convert Result to Output's Unit
3.16227766016838 Meter per Second --> No Conversion Required
FINAL ANSWER
3.16227766016838 Meter per Second <-- Velocity
(Calculation completed in 00.011 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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5 Velocity of Wave Calculators

Velocity of Wave in String
Velocity = sqrt(Tension Of String/Mass per unit length) Go
Velocity of Progressive Wave given Angular Frequency
Velocity = (Wavelength*Angular Frequency)/(4*pi) Go
Velocity of Progressive Wave
Velocity = Wavelength Of A Wave/Time Period of Progressive Wave Go
Velocity of Progressive Wave using Frequency
Velocity = Wavelength Of A Wave*Frequency Go
Velocity of Wave given Wave Number
Velocity = Angular Frequency/Wave Number Go

Velocity of Wave in String Formula

Velocity = sqrt(Tension Of String/Mass per unit length)
v = sqrt(T/m)

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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 = sqrt(Tension Of String/Mass per unit length) to calculate the Velocity, 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 is denoted by v 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 -> 3.162278 = sqrt(100/10).

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 = sqrt(T/m) or Velocity = 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 = 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?
In this formula, Velocity 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 = Wavelength Of A Wave/Time Period of Progressive Wave
  • Velocity = (Wavelength*Angular Frequency)/(4*pi)
  • Velocity = Wavelength Of A Wave*Frequency
  • Velocity = Angular Frequency/Wave Number
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