contestada

Tension is maintained in a string as in the
figure. The observed wave speed is 25 m/s
when the suspended mass is 3.5 kg. If the mass per length of the string is 0.05488kg/m, what is the wave speed when the suspended mass is 2.6 kg?

Respuesta :

okpalawalter8

The wave speed when the suspended mass is 2.6kg is

  • 21.547m/s

Tension applied can be calculated by

[tex]T = mg\\\\ T = 3.5*9.8\\\\ T = 34.3N [/tex]

Therefore, linear density on the string is given by

m = 0.05488kg/m

If the attached mass is replaced by 2.6kg

[tex]T = 2.6*9.8\\\\ T = 25.48N [/tex]

Therefore, the wave speed in the same string is

[tex]v = \sqrt{\frac{T}{m}}\\\\ v = \sqrt{\frac{25.48}{0.05488}}\\\\ v = 21.547m/s [/tex]

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