Question

Write down an equation describing a sinusoidal traveling wave (in 1-D). Tell us (words and/or equations) what in your equation tells us the speed and direction of the wave? [Hint: you can google this if you do not know the answer. Be sure you understand it though!]

Answer 1

Step-by-step explanation:

The standard equation of the sinusoidal wave in one dimension is given by

`y = A Sin\left ( (2\pi )/(\lambda )\left ( vt-x \right )+\phi  \right )`

Here, A be the amplitude of the wave

λ be the wavelength of the wave

v be the velocity of the wave

Φ be the phase angle

x be the position of the wave

t be the time

this wave is travelling along positive direction of X axis

The frequency of wave is f which relates with velocity and wavelength as given below

v = f x λ

The relation between the time period and the frequency is

f = 1 / T.