Question

A travelling sinusoidal wave has this equation:

y(x,t) = 0.0450 m sin(25.12 m^-1x – 37.68s^-1 – 0.523)

Find the following:

A. Amplitude

B. Wave number

C. Wavelength

D. Angular frequency

E. Frequency

F. Phase angle

Answer 1

A)

$$A= 0.0450\ m.$$

B)

$$k=25.12\ m^{-1}.$$

C)

$$\lambda=\dfrac{2\pi}{k}=\dfrac{2\pi}{25.12\ m^{-1}}=0.25\ m.$$

D)

$$\omega=37.68\ \dfrac{rad}{s}.$$

E)

$$f=\dfrac{\omega}{2\pi}=\dfrac{37.68\ \dfrac{rad}{s}}{2\pi}=6.0\ Hz.$$

F)

$$\phi= 0.523\ rad.$$