A harmonic wave on a string is described by Y (x, t) = 0.1 sin (300t +0.01x + л/3) mm, where x is in cm and t is in seconds.

a) Does the wave represent a travelling wave or a standing wave?
b) What is the direction of its propagation?
c) What is its period?
d) What is its wavelength?
e) What is the amplitude of the particle?

A harmonic wave on a string is described by

Equation for travelling wave :-

Equation for stationary wave :-

Given equation for wave :-

On comparing eq(1) , (2) and (3)

We can conclude that, Given wave represent travelling wave.

From solution 1 , We can say that,

It is travelling from right to left direction

Hence, The direction of its propagation is right to left that is towards +x direction.

Here, We have to find the wave period

We know that,

Wave period = wavelength / velocity

Wave equation :-

We know that,

Subsitute the required values,

The wavelength of given wave

Subsitute the required values,

We have wave equation

Travelling wave equation :-

Therefore,

Amplitude of the wave particle

Hence, The amplitude of the particle is 0.1 cm

6 cos 34, 6 sin 34 trig