Question
A steel wire has a length of 12.0m and mass 2.10kg. What should be the tension in wire so that the speed of transverse wave on the wire equals to the speed of sound in dry air at 20°C i.e. 343 m/s?
Solution
Velocity of wave in stretched string is given by,
where,
M is the mass and L is the length of wire
We have,
Velocity of sound,
Mass of steel wire, M = 2.1kg
Length of the string, L = 12m
Therefore,
Tension in the wire is,
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where,
M is the mass and L is the length of wire
We have,
Velocity of sound,
Mass of steel wire, M = 2.1kg
Length of the string, L = 12m
Therefore,
Tension in the wire is,
