Tension in String Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tension of String = Velocity of Wave^2*Mass per Unit Length
T = Vw^2*m
This formula uses 3 Variables
Variables Used
Tension of String - (Measured in Newton) - Tension of String is the force exerted by the string on the object attached to it, affecting the wave's propagation and characteristics.
Velocity of Wave - (Measured in Meter per Second) - 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.
Mass per Unit Length - (Measured in Kilogram per Meter) - 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.
STEP 1: Convert Input(s) to Base Unit
Velocity of Wave: 61 Meter per Second --> 61 Meter per Second 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
T = Vw^2*m --> 61^2*0.05
Evaluating ... ...
T = 186.05
STEP 3: Convert Result to Output's Unit
186.05 Newton --> No Conversion Required
FINAL ANSWER
186.05 Newton <-- Tension of String
(Calculation completed in 00.004 seconds)

Credits

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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 Characteristics Calculators

Mass per Unit Length of String
​ LaTeX ​ Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)
Tension in String
​ LaTeX ​ Go Tension of String = Velocity of Wave^2*Mass per Unit Length
Wave Number using Angular Frequency
​ LaTeX ​ Go Wave Number = Angular Frequency/Velocity of Wave
Wave Number
​ LaTeX ​ Go Wave Number = (2*pi)/Wavelength

Tension in String Formula

​LaTeX ​Go
Tension of String = Velocity of Wave^2*Mass per Unit Length
T = Vw^2*m

What is Tension ?

Tension is a force exerted by a rope, string, or other object when it is pulled tight by forces acting from opposite ends. It is a pulling force that acts along the length of the object, transmitting the force from one end to the other. Tension helps in maintaining the shape and structure of the object under stress.

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 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 calculate Tension in String using this online calculator? To use this online calculator for Tension in String, enter Velocity of Wave (Vw) & 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 -> 186.05 = 61^2*0.05.

FAQ

What is Tension in 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 and is represented as T = Vw^2*m or Tension of String = Velocity of Wave^2*Mass per Unit Length. 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 & 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.
How to calculate Tension in 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 is calculated using Tension of String = Velocity of Wave^2*Mass per Unit Length. To calculate Tension in String, you need Velocity of Wave (Vw) & 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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