Question

A wave is represented by the equation y=0.5 sin (10 t-x)m. It is a travelling wave propagating along the + x direction with velocity

Answer 1

The velocity of the wave is 10 m/s.

Explanation:

We know that a wave is represented by the equation as :

$y=0.5\ \sin (10t-x)\ m$ ........(1)

It is a travelling wave propagating along the + x direction.

The general equation of the wave is given by :

$y=A\ \sin (\omega t-kx)\ m$   ..........(2)

Comparing equation (1) and (2) as :

$\omega=10\ rad/s$

and

k = 1

The velocity of the wave is given by :

$v=\dfrac{\omega}{k}\\\\v=\dfrac{10}{1}\\\\v=10\ m/s$

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