Question #51190

In the wave equation y = asin (wt + kx) , the quantity (wt + kx) represents.the symbols have the usual meaning
1

Expert's answer

2015-05-29T05:31:34-0400

Answer on Question #51190, Physics, Mechanics | Kinematics | Dynamics

In the wave equation y=asin(wt+kx)the quantity(wt+kx)y = \frac{\text{asin}(wt + kx)}{\text{the quantity}(wt + kx)} represents the symbols have the usual meaning

Answer:


y(t,x)=Asin(φ0+φ(t)+φ(x))y(t, x) = A \cdot \sin(\varphi_0 + \varphi(t) + \varphi(x))


A is the amplitude, φ0\varphi_0 is the initial phase, φ(t)\varphi(t) time defined phase, φ(x)\varphi(x) space defined phase.

And the sum of this phases calls just as phase.


φ0+φ(t)+φ(x)=φ\varphi_0 + \varphi(t) + \varphi(x) = \varphi


In this problem


y(t,x)=Asin(wt+kx)y(t, x) = A \cdot \sin(wt + kx)φ=wt+kx\varphi = wt + kx


It is the phase of the oscillation in this wave at some time at some point of space.

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