Calculate Tension in String for Frequency of 120Hz

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Homework Help Overview

The problem involves a string attached to a frequency generator and a weight holder, set to vibrate at a fundamental frequency of 120 Hz. The string's mass and length are provided, and the task is to calculate the tension in the string when this frequency is achieved.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between tension, mass per unit length, and wave velocity in the string. There are attempts to derive the velocity from the frequency and length, but uncertainty remains about linking this to tension.

Discussion Status

Some participants have suggested exploring the relationship between tension and wave properties, while others express confusion regarding the units involved and how to combine them to derive tension. The discussion is ongoing with multiple lines of inquiry being explored.

Contextual Notes

Participants are grappling with the units of tension, mass per unit length, and velocity, indicating a need for clarity on how these concepts interrelate in the context of the problem.

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Homework Statement



One end of a string of mass 1.45 g and length 50.0 cm is attached to a frequency generator and the other end to a weight holder which hangs over a fixed pulley . The part of the string between the generator and the pulley is horizontal . THe string is set to vibrate . Several weights are added until a fundamental frequency of 120 Hz is achieved . Calculate the tension in the string when the fundamental frequency is achieved .

Homework Equations





The Attempt at a Solution



f=v/2L

120=v/(2 x0.05)

v=120 m/s

not really sure whether this is even an attempt . I do not know how to link the v i got here to tension in the string .
 
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Try to find the relation between tension, mass per unit length and the velocity of the wave in the stretched string.
 
rl.bhat said:
Try to find the relation between tension, mass per unit length and the velocity of the wave in the stretched string.

i am not sure how to relate them since the unit of tension is kgm/s^2 , mass per unit length is kg/m and velocity , m/s

how can i combine m/s and kg/m to get kgm/s^2 ?
 
thereddevils said:
i am not sure how to relate them since the unit of tension is kgm/s^2 , mass per unit length is kg/m and velocity , m/s

how can i combine m/s and kg/m to get kgm/s^2 ?

What is the value of
[tex]\sqrt{\frac{kgm/s^2}{kg/m} = ?}[/tex]
 

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