Asteel wire has a length of 12.0 m and a mass of 2.10 kg. What shouldbe the tension in the wire so that speed of a transverse wave on thewire equals the speed of sound in dry air at 20 °C = 343 m s^–1.

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Solution

Lengthof the steel wire, l= 12 m
Massof the steel wire, m= 2.10 kg
Velocityof the transverse wave, v= 343 m/s
Massper unit length,
Fortension T,velocity of the transverse wave can be obtained using the relation:

∴T= v²µ
= (343)²× 0.175 = 20588.575 ≈2.06 × 10⁴N

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A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at $20^{\circ} C = 343 m s^{- 1}$

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Asteel wire has a length of 12.0 m and a mass of 2.10 kg. What shouldbe the tension in the wire so that speed of a transverse wave on thewire equals the speed of sound in dry air at 20 °C = 343 m s–1.

Lengthof the steel wire, l= 12 mMassof the steel wire, m= 2.10 kgVelocityof the transverse wave, v= 343 m/sMassper unit length,Fortension T,velocity of the transverse wave can be obtained using the relation: ∴T= v2µ = (343)2× 0.175 = 20588.575 ≈2.06 × 104N

Asteel wire has a length of 12.0 m and a mass of 2.10 kg. What shouldbe the tension in the wire so that speed of a transverse wave on thewire equals the speed of sound in dry air at 20 °C = 343 m s^–1.

Lengthof the steel wire, l= 12 m
Massof the steel wire, m= 2.10 kg
Velocityof the transverse wave, v= 343 m/s
Massper unit length,
Fortension T,velocity of the transverse wave can be obtained using the relation:

∴T= v²µ
= (343)²× 0.175 = 20588.575 ≈2.06 × 10⁴N