Question

The spring oscillates to the other end. The amplitude is 3.5m, k = 1.2, and angular frequency is = 4.3. Solve the frequency, wavelength, wave speed, period, wave number, and direction.

Answer 1

Wave number: $k=1.2$

angular frequency: $\omega=4.3$

Wavelength:

$$\lambda=2\pi/k=5.2\text{ m}.$$

Frequency:

$$f=\omega/2\pi=4.3/2\pi=0.68\text{ Hz}.$$

Wave speed = frequency x wavelength

$=0.68Hz × 5.2m = 3.536m/s$

Period:$T=1/f=1.2\text{ s}.$

Wave number =$0.68/3.536=0.1923$

Direction :Moving right