Question

A wave is represented by the equation :
y= 7sin( 7πt - 0.04x + π/3) where x is in meters and t is in seconds . The speed of the wave is ??

Answer 1

Answer:

here

Explanation:

speed of the wave is calculated by

$velocity = omega \div k$

v=w\k=7π\0.04

Answer 2

The speed of the wave is 549.77 m/s.

Explanation:

A wave is represented by the equation :

$y=7\ sin(7\pi t-0.04x+\pi/3)$

Where

x is in meters and t is in seconds

The general equation of a wave is given by :

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

Let v is the speed of the wave. It is given by :

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

On comparing above equation,

$v=\dfrac{7\pi}{0.04}$

v = 549.77 m/s

So, the speed of the wave is 549.77 m/s. Hence, this is the required solution.

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