SOLUTION: A transverse wave on a metal guitar string with a linear mass density of 2.3 g/m travels at 193.0 m/s. What is the tension on the string in N?

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Question 1130040: A transverse wave on a metal guitar string with a linear mass density of 2.3 g/m travels at 193.0 m/s. What is the tension on the string in N?
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.
From your Physics textbook or from the Internet, you can learn that for an elastic string, velocity of the transverse wave is


    v = ,


where  "T"  is tension of the string (in Newtons, N)  and  "d" is the linear density of the string (in kilograms per meter, kg/m).


In this formula, the velocity "v" of the transverse wave is in meters per second, m/s.


By substituting the given input values, you get


    193 = .


Square both sides and express  T =   to get the value of  T  equal to  85.67 Newtons.


Answer.  The tension of the string is  85.67 Newtons.

Solved.

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My internet source was
https://courses.lumenlearning.com/boundless-physics/chapter/waves-on-strings


You may find many other sources, using Google search with the keywords "transverse wave on a string".



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