Tension in String Calculator

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✖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 [V_w]			+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%

✖Tension of String is described as the pulling force transmitted axially by the means of a string.ⓘ Tension in String [T]

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Formula

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Tension in String

Formula

`"T" = "V"_{"w"}^2*"m"`

Example

`"43200N"=("60m/s")^2*"12kg/m"`

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Tension in String Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tension of String = Velocity of Wave^2*Mass per Unit Length
T = V_w^2*m
This formula uses 3 Variables

Variables Used

Tension of String - (Measured in Newton) - Tension of String is described as the pulling force transmitted axially by the means of a string.
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.
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

Velocity of Wave: 60 Meter per Second --> 60 Meter per Second 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

T = V_w^2*m --> 60^2*12

Evaluating ... ...

T = 43200

STEP 3: Convert Result to Output's Unit

43200 Newton --> No Conversion Required

FINAL ANSWER

43200 Newton <-- Tension of String

(Calculation completed in 00.004 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

Softusvista Office (Pune), India

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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

Tension in String Formula

Tension of String = Velocity of Wave^2*Mass per Unit Length
T = V_w^2*m

What is a 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 Tension in String?

Tension in String calculator uses Tension of String = Velocity of Wave^2*Mass per Unit Length to calculate the Tension of String, Tension in String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, or by each end of a rod. Tension of String is denoted by T symbol.

How to calculate Tension in String using this online calculator? To use this online calculator for Tension in String, enter Velocity of Wave (V_w) & Mass per Unit Length (m) and hit the calculate button. Here is how the Tension in String calculation can be explained with given input values -> 43200 = 60^2*12.

FAQ

What is Tension in String?

Tension in String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, or by each end of a rod and is represented as T = V_w^2*m or Tension of String = Velocity of Wave^2*Mass per Unit Length. 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 & Mass per Unit length is the mass of an object distributed over the unit length of the object.

How to calculate Tension in String?

Tension in String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, or by each end of a rod is calculated using Tension of String = Velocity of Wave^2*Mass per Unit Length. To calculate Tension in String, you need Velocity of Wave (V_w) & Mass per Unit Length (m). With our tool, you need to enter the respective value for Velocity of Wave & 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.

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