00:01
So for this question, we have been provided the general equation of the wave which is y is equal to a -sign kx plus minus omega -t plus minus phase difference.
00:09
The wave speed in the question is given as 85 centimeters, sorry, 85 meters per second.
00:15
The formula for wave speed is wavelength multiplied by frequency.
00:20
At x is equal to 0, y is equal to 4 cm.
00:24
This means this 4 cm is nothing but our amplitude, which is denoted by capital a.
00:34
The particle velocity at x is equal to 0 or maximum particle velocity is given as 18 meter per second which is also given by the formula omega a.
00:45
So when we find the value of omega from here we will get omega is equal to 18 divided by 4 centimeters so this will be equal to 450 radian per second.
01:01
Now, it is also given that it is traveling in positive x direction.
01:07
So to write the equation for this wave, we have to find wave number, omega and delphi, or the phase difference.
01:18
We have successfully found omega and using the equation of wave speed, we can find lambda or the wavelength as omega is equal to 2 pi f...