Question 23H"described by V(x: t-0,5 sin( 2x St) , wherex is mclcrs ,centunelers, and LiS in seconds: Thc WavelengthOA 1.22m O8 5 } m 6 6 1Oo 9.31m Oe 314 m...

The vertical displacement, $y,$ of a transverse traveling wave is given by the equation $y=6 \sin \left(10 \pi t-\frac{1}{2} \pi x\right),$ with $x$ and $y$ in centimeters and $t$ in seconds. What is the wavelength?
(A) 0.25 $\mathrm{cm}$
(B) 0.5 $\mathrm{cm}$
(C) 2 $\mathrm{cm}$
(D) 4 $\mathrm{cm}$

So in this problem, we already know the expression for the wife, which is Ah, Why equal? Six times, six times. Uh, sign 10 pi ti Miners have pi x. All right. And the tea is a unit of seconds and accessing unit off centimeters. So we know that K, which is the wave actor, is half high. And the relation between the wave actor ended. Ah Ah, wait. Lettuces Keiko pi r to pi over lambda. So then say that a lot of guys a full centimeters, okay?

So let's just copy over that The equation that gave us for the wave which is why equals 2.0 centimeters times a sign off K X minus omega G. And they tell us that the wave number K is equal to 2.11 radiance per meters per meter 2.11 radiance per meter which we know to be two pi over Lambda the wavelength of the wave. They also give us the angular frequency. They say that the angular frequency is 3.62 radiance radiance per second, which we know is two pi times the frequency of the wave. And if these formulas are not things that you have memorized, I mean, you can easily, um, used the units as sort of ah pneumonic device. You know, that radiance is associated with two pies. Since radiance are described, the angle of a circle and two pi is the angle of a full 360 degree circle. Right? And then that that's why the two pi over here is in the numerator. And that is why the wavelength over here is in the denominator. Likewise, the to pie here is, um is associate with this ratings in the numerator. And since the seconds aren't the denominator, multiplying by frequency would help us put seconds. And the dominator, since frequency comes in, units of one over second, right? Um right. So the problem asks for the amplitude which is just given by this number here, two centimeters mhm. Then they ask for three wavelength. The wavelength is, um, two pi over 2.11 which is about 3 m mhm. And then they asked for the frequency. The frequency is, um, 3.6 2/2 pi, which is about, um 0.58 hurts 0.5. AIDS hurts. Okay. And then the problem asks for the speed of the wave. The speed of the wave can be gotten by using this equation. Lambda Times frequency. So we have we found those two things and they are three meters times 0.58 over seconds. So, 0.58 times three is 1.73 one 0.73 meters per second

That is this Christian. We have a trust. Bliss travelling legs accord that kidney presented messes. Issue D to team said. Five words six. Sex. Let's 30 40 in which the ax ready leaders and she is a second. So 1st 22 tripping purposes. What is a weightless? What is a frequency? What is a steed? That to the direction you, uh, we can tell that the direction is to the net closes a plus. Like usually that's what this is minus. Say that he's still right just outside of St um her D's ist turn into amplitude. That would also because you could just tell that it's still brought you to how into lost What is, uh, that's inland Regional speed off particles of the court. Okay, so for the rest we mourn. Is this some sort of copulation? So this first chicken nega, we have this relationship So this is a uniform off eight times paying ex lightens the legal t So K equals five foot six. Who's Judas? Its definition of K is to pile of innit? So for Q have Linda because too Okay, because to over references over Peter is this Well, I want to know what Peter and help our frequency so we don't dig it. Relationship between Baker Frequency Is it good he was to grab. So if because bigger equals 34 per second, would you, which is five weeks for Kurds and we can ignore this fever cycle, is the sign only tells us the direction house, this thing's coaches left and the glass to be equals we have done and have that he is sent to strip stuff. So it is with Peter Types. Five. Which workers? Which is five. Nothing eaten her second So this off course religiously, I have approximated the previous Childress already, So this is laid off. He's the most accurate answer. If you did not approximate sister answers video of you who sees two expressions to find difficulty. You might also far right in Austria equals six point when they're sick. Disease are just rub with girls and her body's amplitude. No questions asked. That's were admitted Speed. Oh no, weakened a little kids on Ross where it's rotates. You wanted sex. Is it Z checkpoints, kid, move up and down is these whites. It is a standing wave. See, sports will be stationary so the bit of a frosty zero because you're quite such a rectum. And what about his advance booking? Dusty? So that's no good. Austin will be this much that is seeing aptitude times superior it. So this is the aptitude. It if we we can have aptitudes types frequency that and your privacy, which is the same issue after two divided by, uh, superior int and that gives us the steet. But anyways, that's maximum speed are thes points. Uh, that moves? Uh huh. So this this point of the safe secrecy is the oh is a weight itself to this way. I just used tea plants, ***. So that gives us so don't point to two meter America already boned objection and see the mystery this city for per second. I think it's a civil put five meter per cent

Yeah. Hi frames in the problem. The wave functions are given. They want to me a sign off to fight ex upon them the minus beauty. And just to to be a side of K. X minus pt. So and produce are one is called to four And a whisker to burn upon. 2.5 frequency and periods frequency R no one is called 03 hearts. And temperate even is born upon the one that is 1x3 seconds. Oh my God. To his car to buy new tube That is 3.5 radial per second. So frequency will be While 557 Hz and I'm pretty will be 1.796 seconds. Yeah. Now we have a length you can find Ban upon and no one is going to point to. So Linda one is called 5m sorry five m. And lender to his car too. 25 x seven. It's called to too. Bye bye lambda. So wavelength lambda two is cool too. Uh huh. Fine. Just a moment. Mhm. Uh huh. And then that risk arto by by kato. So it will be 25 x seven m Face veracity are mhm. Will be five near 51 upon guilty The five months apart. Do you lex equal to be evil? He's got a new one linda one. So it will be 15 m/s And Face Velocity of 2nd. Try to they'll fight to 50 upon. They'll fight to the next new to London. So it will be minus half meter per second. And that's all thanks.