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Blizzard [7]
4 years ago
15

A stretched string is 120 cm long and has a linear density of 0.022 g/cm. What tension in the string will result in a second har

monic of 590 Hz
Physics
1 answer:
Alona [7]4 years ago
5 0

Answer:

T = 15,576 N

Explanation:

The speed of a wave on a string is given by

        v = √ T /ρ rho

also the speed of the wave is given by the relationship

       v = λ f

we substitute

     λ f = √ T /ρ

       

T = (lam f)² ρ

let's find the wavelength in a string, fixed at the ends, the relation that gives the wavelength is

       L= λ/2 n

       λ= 2L / n

we substitute

      T = (2L / n f)²ρ rho

let's calculate

      T = (2 1.20 / 2 590) 0.022

      T = 15,576 N

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