Question

A sinusoidal travelling wave in x-direction has amplitude of 15 𝑐𝑚, wavelength of 40 𝑐𝑚 and the

frequency of 8 𝐻𝑧. The vertical displacement at 𝑥 = 0 and 𝑡 = 0 is 15 𝑐𝑚. Find (i) Wave number (ii)

Time period (iii) Wave speed, and (iv) Angular frequency of wave.

Answer 1

1.

$k=\frac{2\pi}{\lambda}=15.7~m^{-1},$

2.

$T=\frac 1{\nu}=0 .13~s,$

3.

$v=\lambda\nu=3.2~\frac ms,$

4.

$\omega=2\pi \nu=50.3~\frac{rad}s.$