Question

A sinusoidal wave is described by y (x, t) = 3.0 sin (3.52t 2.01x) cm x is the position along the wave propagation. Determine the amplitude, wave number, wavelength, frequency and velocity of the wave.

Answer 1

Answer on Question #65638-Physics-Mechanics-Relativity

A sinusoidal wave is described by $y(x, t) = 3.0 \sin(3.52t \cdot 2.01x) \, \text{cm} \cdot x$ is the position along the wave propagation. Determine the amplitude, wave number, wavelength, frequency and velocity of the wave.

Solution

The amplitude is $A = 3.0 \, \text{cm}$.

The wave number is $k = 2.01 \, \text{cm}^{-1}$.

The frequency is

$$f = \frac{3.52}{2\pi} = 0.56 \, \text{Hz}.$$

The velocity of the wave is

$$v = \frac{\omega}{k} = \frac{3.52}{2.01} = 1.75 \, \frac{\text{cm}}{\text{s}}.$$

Answer provided by https://www.AssignmentExpert.com