Standing waves

by nil1996
Tags: standing, waves
 P: 296 Equation of standing waves→ y=Asinkxcosωt What do i get if i differentiate the above equation with respect to "x" ? Do i get the rate of change of amplitude when i put t=0?
 P: 199 when you differentiate it with respect to x, then you get slope of the curve/wave at a given instant ##\frac{dy}{dx}=slope##.
 P: 199 rate of change of amplitude is velocity, ##\frac{dy}{dt}=##velocity of particle
 P: 296 Standing waves Lets consider a string oscillating in fundamental frequency. In the wave equation if i put t=0 the i will get a snapshot of the wave in which all particles will be at their amplitudes. Now if i differentiate the equation that is y=Asinkx i will get something like $\frac{dy}{dx}$=Akcoskx and i think this will be the rate of change of amplitude on the string. Isn't it right?
P: 296
 Quote by NihalSh rate of change of amplitude is velocity, ##\frac{dy}{dt}=##velocity of particle
I want to say how much the amplitude changes as i move forward on x-axis.
P: 199
 Quote by nil1996 I want to say how much the amplitude changes as i move forward on x-axis.
Yes, you can say that!!

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