Calculate Tension in String for Frequency of 120Hz

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To calculate the tension in a string vibrating at a fundamental frequency of 120 Hz, the wave speed must first be determined using the formula f = v/(2L), resulting in a wave speed of 120 m/s. The relationship between tension, mass per unit length, and wave velocity is given by the equation T = μv², where T is tension, μ is mass per unit length, and v is wave speed. The mass per unit length can be calculated from the string's mass and length, yielding μ = 0.0029 kg/m. By substituting the values into the tension equation, the tension in the string can be calculated, leading to the conclusion that understanding these relationships is crucial for solving the problem accurately.
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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
\sqrt{\frac{kgm/s^2}{kg/m} = ?}
 
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