Mass per Unit Length of 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%
✖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 [V_w]			+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 of String [m]

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Formula

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Mass per Unit Length of String

Formula

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

Example

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

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Mass per Unit Length of String Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 186.05 Newton --> 186.05 Newton No Conversion Required
Velocity of Wave: 61 Meter per Second --> 61 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = T/(V_w^2) --> 186.05/(61^2)

Evaluating ... ...

m = 0.05

STEP 3: Convert Result to Output's Unit

0.05 Kilogram per Meter --> No Conversion Required

FINAL ANSWER

0.05 Kilogram per Meter <-- Mass per Unit Length

(Calculation completed in 00.004 seconds)

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< Wave Characteristics Calculators

Mass per Unit Length of String

Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Tension in String

Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Wave Number using Angular Frequency

Go Wave Number = Angular Frequency/Velocity of Wave

Wave Number

Go Wave Number = (2*pi)/Wavelength

Mass per Unit Length of String Formula

Mass per Unit Length = Tension of String/(Velocity of Wave^2)
m = T/(V_w^2)

What is simple harmonic motion?

Simple harmonic motion is a type of periodic motion where an object moves back and forth around an equilibrium position. The motion is characterized by its constant frequency and amplitude, and the restoring force acting on the object is directly proportional to its displacement from the equilibrium. This type of motion is seen in systems like pendulums and springs.

How to Calculate Mass per Unit Length of String?

Mass per Unit Length of String calculator uses Mass per Unit Length = Tension of String/(Velocity of Wave^2) to calculate the Mass per Unit Length, Mass per Unit Length of String formula is defined as a measure of the amount of mass per unit length of a string, providing a way to quantify the distribution of mass along the string's length, which is essential in understanding the string's physical properties and behavior. Mass per Unit Length is denoted by m symbol.

How to calculate Mass per Unit Length of String using this online calculator? To use this online calculator for Mass per Unit Length of String, enter Tension of String (T) & Velocity of Wave (V_w) and hit the calculate button. Here is how the Mass per Unit Length of String calculation can be explained with given input values -> 0.026874 = 186.05/(61^2).

FAQ

What is Mass per Unit Length of String?

Mass per Unit Length of String formula is defined as a measure of the amount of mass per unit length of a string, providing a way to quantify the distribution of mass along the string's length, which is essential in understanding the string's physical properties and behavior and is represented as m = T/(V_w^2) or Mass per Unit Length = Tension of String/(Velocity of Wave^2). Tension of String is the force exerted by the string on the object attached to it, causing the string to vibrate and produce waves & 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.

How to calculate Mass per Unit Length of String?

Mass per Unit Length of String formula is defined as a measure of the amount of mass per unit length of a string, providing a way to quantify the distribution of mass along the string's length, which is essential in understanding the string's physical properties and behavior is calculated using Mass per Unit Length = Tension of String/(Velocity of Wave^2). To calculate Mass per Unit Length of String, you need Tension of String (T) & Velocity of Wave (V_w). With our tool, you need to enter the respective value for Tension of String & Velocity of Wave 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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