Question

A stationary wave Y = Asin(100t) .cos(0.1x).What is the velocity of the Wave

Answer 1

@hartnn @sauravshakya

Answer 2

@experimentX

Answer 3

find dx/dt

Answer 4

or write the equation as standard wave equation.
y = a sin(kx - wt)
from here determine the frequency and wavelength

Answer 5

can't we do it this way ?
compare with Y = A sin (wt) cos (kx)
and k= 2 pi/ lamda
find lambda
w = 2pi f
find frequency f
then , velocity = lambda * f

Answer 6

Is it necessary to split the stationary wave into two?

Answer 7

i think yes ..

Answer 8

@experimentX wat if we differntiate the equation?

Answer 9

hold on a sec

Answer 10

let me run this on mathematica

Answer 11

@experimentX wat did u get ?

Answer 12

a standing wave

Answer 13

Animate[Plot[2 Sin[100 t] Cos[0.1 x], {x, -10 Pi, 10 Pi},
PlotRange -> {-3, 3}], {t, 0, 1}, AnimationRate -> 0.01]

Answer 14

@hartnn has an easy and nice way

Answer 15

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