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

The tension will be "713 N".

Step-by-step 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* Wavelength`

=
`890* 0.10`

=
`89 \ m/s`

Now,

The tension will be:

⇒
`T=v^2* (M)/(L)`

On substituting the values, we get

⇒
`=(89)^2* (0.09)/(1.0)`

⇒
`=7921* (0.09)/(1.0)`

⇒
`=7921* 0.09`

⇒
`=713 \ N`