91影视

• The angular frequency of a wave,$蝇=110\mathrm{rad}/\mathrm{s}$
• The wavelength of a wave,$位=1.8\mathrm{m}$

Wave number is the inverse of wavelength. The speed of the wave is equal to the product of its wavelength and frequency. The angular frequency is equal to 2蟺 times frequency.

We can use the equations of wavenumber and the speed of the wave to calculate them.

Formulae:

The angular wave number of a wave equation, $k=\frac{2蟿蟿}{位}$(i)

The speed of the wave, $v=位f$(ii)

The angular frequency of the wave, $蝇=2蟿蟿f$(iii)

The angular wave number using equation (i) is calculated by substituting the values in the equation (i).

$$\begin{gathered} k=\frac{2\mathrm{蟿蟿}}{1.8\mathrm{m}} \\ =3.49{\mathrm{m}}^{-1} \end{gathered}$$

The value of the angular wave number is role="math" localid="1657278936633" $3.49{\mathrm{m}}^{-1}$.

The speed of the wave using equations (ii) and (iii) frequency function is given as:

$$\begin{gathered} v=\frac{位蝇}{2蟿蟿} \\ =\frac{1.8脳110}{2蟿蟿} \\ =31.53\mathrm{m}/\mathrm{s} \end{gathered}$$

Hence, the value of wave speed is $31.53\mathrm{m}/\mathrm{s}$.