Question

Write the equation of a progressive wave propagation along the positive x-direction whose amplitude is 5cm,frequency 250 hertz and velocity 500m/sec mathmetic solution

Answer 1

Answer:

The equation of a progressive wave, $y=5\ sin(1570.79t-3.14x)$

Explanation:

The equation of a progressive wave propagation along the positive x-direction is given by :

$y=A\ sin(\omega t-kx)$

Where

A is the amplitude of wave

k is the propagation constant

Given that,

Amplitude of a wave, A = 5 cm

Frequency, f = 250 Hz

Velocity, v = 500 m/s

Since, $\omega=2\pi f$

$\omega=2\pi \times 250=1570.79\ rad/s$

Also,

$v=\dfrac{\omega}{k}$

$k=\dfrac{\omega}{v}$

$k=\dfrac{1570.79}{500}=3.14$

So, the equation of the progressive wave is given by :

$y=5\ sin(1570.79t-3.14x)$

Hence, this is the required solution.

Learn more,

The equation of the progressive wave.

https://brainly.in/question/7975557

Answer 2

Answer:

y=0.05 sin pie (500t-x)m