Question

what is the difference between a static sine wave,a pulsating sine wave and a travelling sine wave and what are their mathematical representations?

Answer 1

@ganeshie8 @mathstudent55

Answer 2

@kropot72

Answer 3

@UnkleRhaukus @ash2326

Answer 4

please help me..if I understand this my work will be easy

Answer 5

A traveling wave is a function of position and time,
a standing wave is a function of position (but is constant with time).

Answer 6

A static sine wave is the usual sine wave we come across in problem. A pulsating one has its amplitude varying with time.

Answer 7

so in a travelling wave each point experiences every amplitude from the positive maximum to negative maximum?

Answer 8

yeah for a travelling wave over one cycle, every point experiences the max and min

Answer 9

static sine wave : \[\large y = A \sin (kx)\]

Answer 10

travelling sine wave with velocity \(v \), \(\implies \text{displacement = vt}\) :
\[\large y = A\sin(k(x-vt))\]

Answer 11

Clearly the wave is moving right as the transformation is shift right ^^

Answer 12

@ganeshie8 y=Asin(wt) is this for pulsating sine wave?

Answer 13

So then for a pulsating sine wave A would just be some function that varies with t?

Answer 14

Indeed!

Answer 15

This will probably confuse things, and I apologize, but I am curious! Would a pulsating wave necessarily be a traveling wave?

Answer 16

I can imaging a standing wave that is pulsating

Answer 17

Ok, thanks! I was thinking that A could be a constant, or a function of t. Could A also be a function of x and t? I mean if you have a sine function that is a function of two variables, couldn't the Amplitude function also be a function of both variables?

Answer 18

i guess so