Question

22.) What should be the tension in a wire, 0.5 m long and of mass 0.25 g, for it to
vibrate with a fundamental frequency of 220 Hz? What would be the speed of
the transverse waves on the wire ?​

Answer 1

Explanation:

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Answer 2

The tension in a wire is 24.2 N.

The speed of  the transverse waves on the wire is 220 m/s.

Explanation:

Given that,

Mass of wire = 0.25 g

Length = 0.5 m

Frequency = 220 Hz

We need to calculate the velocity

Using formula of velocity

$v =2l\times f$

Put the value into the formula

$v=2\times0.5\times220$

$v =220 m/s$

We need to calculate the tension in a wire

Using formula of the tension

$v=\sqrt{\dfrac{T}{\dfrac{m}{l}}$

$T=\dfrac{v^2m}{l}$

Put the value into the formula

$T=\dfrac{220^2\times0.25\times10^{-3}}{0.5}$

$T=24.2\ N$

Hence, The tension in a wire is 24.2 N.

The speed of  the transverse waves on the wire is 220 m/s.

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Topic : tension

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