A 90-gram wire that is 1.0 m long is under tension. When a transverse wave of frequency 890 Hz travels down the wire, its wavelength is 0.10 m and its amplitude is 6.5 mm. What is the tension in the wire

Respuesta :

Answer:

The tension will be "713 N".

Explanation:

The given values are:

Frequency,

= 890 Hz

Mass,

= 90 gm

or,

= 0.09 kg

Length of wire,

= 1.0 m

Wavelength,

= 0.10 m

The velocity will be:

=  [tex]Frequency\times Wavelength[/tex]

=  [tex]890\times 0.10[/tex]

=  [tex]89 \ m/s[/tex]

Now,

The tension will be:

⇒  [tex]T=v^2\times \frac{M}{L}[/tex]

On substituting the values, we get

⇒      [tex]=(89)^2\times \frac{0.09}{1.0}[/tex]

⇒      [tex]=7921\times \frac{0.09}{1.0}[/tex]

⇒      [tex]=7921\times 0.09[/tex]

⇒      [tex]=713 \ N[/tex]

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