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/(Vw^2)
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Tension of String: 100 Newton --> 100 Newton No Conversion Required
Velocity of Wave: 60 Meter per Second --> 60 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = T/(Vw^2) --> 100/(60^2)
Evaluating ... ...
m = 0.0277777777777778
STEP 3: Convert Result to Output's Unit
0.0277777777777778 Kilogram per Meter --> No Conversion Required
FINAL ANSWER
0.0277777777777778 0.027778 Kilogram per Meter <-- Mass per Unit Length
(Calculation completed in 00.020 seconds)

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Mass per Unit Length of String
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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
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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

Mass per Unit Length of String Formula

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

What is 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 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 is the linear density of a one-dimensional substance such as a wire or thread. Its practical application is in measuring the weight of threads and yarns in the textile industry. 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 (Vw) and hit the calculate button. Here is how the Mass per Unit Length of String calculation can be explained with given input values -> 0.027778 = 100/(60^2).

FAQ

What is Mass per Unit Length of String?
Mass per Unit Length of String is the linear density of a one-dimensional substance such as a wire or thread. Its practical application is in measuring the weight of threads and yarns in the textile industry and is represented as m = T/(Vw^2) or Mass per Unit Length = Tension of String/(Velocity of Wave^2). Tension of String is described as the pulling force transmitted axially by the means of a string & 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.
How to calculate Mass per Unit Length of String?
Mass per Unit Length of String is the linear density of a one-dimensional substance such as a wire or thread. Its practical application is in measuring the weight of threads and yarns in the textile industry 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 (Vw). 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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