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@aaronq can i please take just a few mintues of your time?!?!?!? Pleaase check my work.
This is how i did it....... Given: 30Hz, t = 0.20sec, d = 12m To find the velocity, i need to find the wavelength first. Since V = fXLambda V = Displacement in distance/ Displacement in time V = 12m/0.20sec V = 60sec Now that we have our Velocity of the wave, we can now substitute both the given and reseultant values into the Formula V= F X Lambda Lambda = V/F Lambda = 60m/sec/30Hz = Lambda = 2 Therefore the wavelength is 2meters long. To find the Number of Loops, we need to take the inverse of Frequency and plug-in what's already given to us.....so F = N/Change in time 30 Hz (given)= N/0.20sec 0.20sec X 30 = N 6 = N Therefore the number of loops are 6.
What is takes sec, is that suppose to be .20 sec?
already given to us...0.20sec
i've lablled all the given values at the top.
Ok I see, well in your question it didn't mention that so just making sure.
^_^
So you need to do \[v = f \lambda = (30 Hz)(12m) = 360 m/s\], good I see you have \[v = \frac{ \Delta d }{ \Delta t } \implies \Delta d = v \Delta t\] which is, \[\Delta d = (360m/s)(0.20s) = 72m\] so far you agree?
how did you come up with "12"
"is used to make waves in a rope 12m long", i though the length of the rope is 12m long -__-
Actually you maybe right
I guess I was reading it wrong and thought the wavelength is 12m but I guess the rope is!
ok so once i have the velocity and the displacement, do i foolow the same procedure to find the wavelength.......λ = F/V
So, we should use \[v = \frac{ \Delta d }{ \Delta t } = \frac{ 12m }{ 0.20s } = 60m/s\] this seems better, I think the question is just worded weirdly so it caused the confusion.
\[\lambda = \frac{ v }{ f } = \frac{ 60m/s }{ 30 Hz } = 2m\] that makes more sense
that's what i was wondering.........360m/sec.....that's like sound breaking speed!!! :")
Yeah it was a bit confusing when I was writing it out
yep that's what i got.....λ = 2m
Now you can just divide that by the length of the string, so we have \[\frac{ 12m }{ 2m } = 6\] that is our wavelength in the string
amount of wavelengths*
yep....that's right...i got the same.....but hey do you know the trick of solving these kinds of peoblems?!?!?!?!
There's no real trick, just this problem is worded oddly as you noticed haha
Lots of practice I suppose
no i'm talking in general....tho, cuz i see some of the next problems i have in the book seem kinds hard.....
is there any difference between solving for fixed end and free end?!?!??!?
There's no trick to it, just takes practice, read the question carefully, put all your knowns/ unkowns down and see what you can use :)
Well I would have to see the question to see what exactly you're asking
ok....Thank you sooooooooooooooomuch, Luv you to death....!!! Please stay cute!!! :")
Haha np :) have fun!
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