GR8677 #4



Alternate Solutions 
syreen 20130923 20:27:12  the argument looks like a traveling wave sin(wtkx) where w=1/T, k=1/lamda. Know that vphase=w/k and so w/k=lamda/T  

Comments 
ernest21 20190810 03:09:39  But, to be consistent, I think the and should each lose the power? twoplustwo forum   fredluis 20190808 12:50:11  Tried get rid of it, too, but it seems that you can\'t edit even your own posts. oh well. carpet cleaner   joshuaprice153 20190808 05:07:58  Thanks for the information on this. I really enjoy the writeup. tree pruning   syreen 20130923 20:27:12  the argument looks like a traveling wave sin(wtkx) where w=1/T, k=1/lamda. Know that vphase=w/k and so w/k=lamda/T   Prologue 20091012 08:38:10  I think the explanation for B needs to be spelled out a little better. The wave looks the same in 'some reference frame traveling through space' no matter what time it is. This means you need to find a relationship between x and t such that the argument for sine gives a constant output through all time for the same x'  where x' is not the velocity but the space coordinate in the new moving frame. We need to find a such that . If you want this to be independent of time then that means the argument has to be constant with respect to time. So . Now you can solve for x to get . Now you have the time dependence for x and you can just take the time derivative to get .
I know this is long winded but these little details might be nice for someone that isn't comfortable with shifting.
Prologue 20091012 10:54:45 
That should logically be a but it doesn't change the rest of the post at all.

  anmuhich 20090319 08:39:59  Or you just know that for a sine wave the velocity is just the wavelength over the period.   icelevistus 20070927 16:29:19  The only variables/constants we can assume the units of are x and t. All others are unspecified, despite what convention suggests.
Thus, the application of dimensional analysis for eliminating answers only works for D.
icelevistus 20070927 16:30:20 
Never mind, the units are implicit for the sin argument to be unitless.

 

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