Question

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

Answer 1

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:

=  $Frequency\times Wavelength$

=  $890\times 0.10$

=  $89 \ m/s$

Now,

The tension will be:

⇒  $T=v^2\times \frac{M}{L}$

On substituting the values, we get

⇒      $=(89)^2\times \frac{0.09}{1.0}$

⇒      $=7921\times \frac{0.09}{1.0}$

⇒      $=7921\times 0.09$

⇒      $=713 \ N$