
#1
Oct1713, 01:33 AM

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? 



#2
Oct1713, 01:52 AM

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##.




#3
Oct1713, 01:54 AM

P: 199

rate of change of amplitude is velocity, ##\frac{dy}{dt}=##velocity of particle




#4
Oct1713, 02:07 AM

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 [itex]\frac{dy}{dx}[/itex]=Akcoskx and i think this will be the rate of change of amplitude on the string. Isn't it right?




#5
Oct1713, 02:13 AM

P: 296





#6
Oct1713, 02:17 AM

P: 199




Register to reply 
Related Discussions  
What is the difference between standing waves and transverse waves?  Classical Physics  6  
[Waves] Standing waves problem (possibly...)  Introductory Physics Homework  2  
matter waves as standing waves  Quantum Physics  0  
Waves: Standing Waves, Superposition, etc.  Introductory Physics Homework  4  
why we call standing waves as waves  General Physics  1 