Tension is maintained in a string as in the figure below. The
observed wave speed is 23 m/s when the suspended mass is 3.0
kg.
(a) What is the mass per unit length of the string?
kg/m?
(b) What is the wave speed when the suspended mass is 2.5 kg?
m/s?
The speed of the wave in astretched string is given by
v=√(T/m)
v is the speed of the wave = 23 m/s
T is the tension applied = mg
= 3 kg * 9.8 m/s^2
= 29.4 N
Then the linear density of the string is given by m = T/v^2
= 29.4 N / 23 m/s*23 m/s
= 0.0556 kg/m
If the attached mass is replace by 2.5 kg
Then the tension applied is T = 2.5 kg * 9.8 m/s^2
= 24.5 N
Now the wave speed in the same string is given by
v = √(T/m)
= √(24.5 N / 0.0556 kg/m )
= 20.99 m/s
Tension is maintained in a string as in the figure below. Theobserved wave speed is...
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Tension is maintained in a string as in Figure P13.49. The
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Figure P13.49
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