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Standing waves 
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#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




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