Answer to Question #166151 in Physics for Ethan

Question

A transverse wave is describe by the function y=(.08 m) sin[(28 radians) t+(5.6 m^-1)x]. Find the amplitude, angular frequency, frequency, period, wavelength and speed of the wave.

Answer 1

a)

$$A=0.08\ m.$$

b)

$$\omega=28\ \dfrac{rad}{s}.$$

c)

$$f=\dfrac{\omega}{2\pi}=\dfrac{28\ \dfrac{rad}{s}}{2\pi}=4.46\ Hz.$$

d)

$$T=\dfrac{1}{f}=\dfrac{1}{4.46\ Hz}=0.224\ s.$$

e)

$$\lambda=\dfrac{2\pi}{k}=\dfrac{2\pi}{5.6\ m^{-1}}=1.12\ m.$$

f)

$$v=f\lambda=4.46\ Hz\cdot1.12\ m=5\ \dfrac{m}{s}.$$