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Tension in String Formula

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Tension of String is the force exerted by the string on the object attached to it, affecting the wave's propagation and characteristics. Check FAQs

T = {V w}^{2} \cdot m

T - Tension of String?V_w - Velocity of Wave?m - Mass per Unit Length?

Tension in String Example

With values

With units

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Here is how the Tension in String equation looks like with Values.

Here is how the Tension in String equation looks like with Units.

Here is how the Tension in String equation looks like.

186.05 = 61^{2} \cdot 0.05

186.05N = {61m/s}^{2} \cdot 0.05kg/m

186.05 = 61^{2} \cdot 0.05

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Tension in String Solution

Follow our step by step solution on how to calculate Tension in String?

FIRST Step Consider the formula

T = {V w}^{2} \cdot m

Next Step Substitute values of Variables

∴

T = {61m/s}^{2} \cdot 0.05kg/m

Next Step Prepare to Evaluate

∴

T = 61^{2} \cdot 0.05

LAST Step Evaluate

∴

T = 186.05N

Tension in String Formula Elements

Variables

Tension of String

Tension of String is the force exerted by the string on the object attached to it, affecting the wave's propagation and characteristics.

Symbol: T

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Tension of String

Velocity of Wave

Velocity of Wave is the speed at which a wave propagates through a medium, determined by the properties of the wave and the medium itself.

Symbol: V_w

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Wave

Mass per Unit Length

Mass per Unit Length is the amount of mass per unit length of a wave, which is a fundamental property in describing wave behavior and characteristics.

Symbol: m

Measurement: Linear Mass DensityUnit: kg/m

Note: Value can be positive or negative.

Formulas to find Mass per Unit Length

Other formulas in Wave Characteristics category

Go Wave Number

k = \frac{2 \cdot π}{λ}

Go Wave Number using Angular Frequency

k = \frac{ω f}{V w}

Go Mass per Unit Length of String

m = \frac{T}{{V w}^{2}}

Go Loudness

Q = 10 \cdot \log 10 (\frac{I s}{I ref})

How to Evaluate Tension in String?

Tension in String evaluator uses Tension of String = Velocity of Wave^2*Mass per Unit Length to evaluate the Tension of String, Tension in String formula is defined as a measure of the force exerted by a stretched string, which is a fundamental concept in physics, particularly in the study of vibrations and oscillations, and is essential in understanding the behavior of strings in various physical systems. Tension of String is denoted by T symbol.

How to evaluate Tension in String using this online evaluator? To use this online evaluator for Tension in String, enter Velocity of Wave (V_w) & Mass per Unit Length (m) and hit the calculate button.

FAQs on Tension in String

What is the formula to find Tension in String?

The formula of Tension in String is expressed as Tension of String = Velocity of Wave^2*Mass per Unit Length. Here is an example- 186.05 = 61^2*0.05.

How to calculate Tension in String?

With Velocity of Wave (V_w) & Mass per Unit Length (m) we can find Tension in String using the formula - Tension of String = Velocity of Wave^2*Mass per Unit Length.

Can the Tension in String be negative?

Yes, the Tension in String, measured in Force can be negative.

Which unit is used to measure Tension in String?

Tension in String is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Tension in String can be measured.

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