Jin-Yi Yu: Yeah, sorry I come back to the meeting again. So we have another 40 minutes for this lecture. So let me go to Ustream again.
Jin-Yi Yu: Now I make sure that I record the rice going in the in the file. So here I will start talking about, we want to discuss the global energy balance and you need to know.
Jin-Yi Yu: The how much solar energy that is deliver to the top of our atmosphere. So in order to find out how much soda energy
Jin-Yi Yu: Come into our economy system. The probably to the equation for parents to among by runway radiation. The tourists radiation going up.
Jin-Yi Yu: Call immediate out by our list in order to get this global energy parents who need to find out this number and the amount of sodium intake to come to our climate system has to be
Jin-Yi Yu: Asked me fullest pirate realize how much energy was a set up from the sun and November is called solar Normal University, which is this 3.9 10 to 26 watts.
Jin-Yi Yu: As constant flux or energy put out by the sun and the energy is energy that put a lie on the surface of the sun, and then is going to emit out spread out.
Jin-Yi Yu: To a sphere in a sphere has a surface areas for pi squared any distance of P away from the sun. So that is called solar products density
Jin-Yi Yu: Right, the sort of fraud is the solar luminosity, and he we spread out a couple of my arm spherical surveys had a pistol be fun.
Jin-Yi Yu: Some then the solar for us density is equal to the solar when we asked the divide by surface area of the sphere for pie history square. So, based on this constancy. This is solar
Jin-Yi Yu: Is this sort of this has become our solar constant. So now if we find out who else is here is a distance t if we can find out is p and we put up numbers distance from
Jin-Yi Yu: The sun into this and that is total that is the every square meter sun is going to keep us this much of energy. On the top of our those service, you know, divide by four quite the script and then number is called
Jin-Yi Yu: Soda comes to solar comes there is a solar noon we NASA p divided by four pipe that square distance between Sam to us.
Jin-Yi Yu: Which is 1.5 times 10 to 11 meter, he put a number in, and that's the key thing I want to find out to tell you this thing so coach call soda comes to so you have to remember what does a solar comes to me solo comes to means nasty among of energy.
Jin-Yi Yu: The sun.
Jin-Yi Yu: The river.
Jin-Yi Yu: To the top of our data must fear.
Jin-Yi Yu: Our climate system.
Jin-Yi Yu: Right, so that's diva outside our door we conduct is the maximum amount we can make use is this right but we are not necessarily be able to use the all
Jin-Yi Yu: Discuss that we need to remember this number. So now I see that on this number, the energy, the energy some give us on every square meter our service area is one service 370 watch
Jin-Yi Yu: We're going to find out this number needs to be divided by four and five 0.7 will get something equals 240 watts. So our global energy
Jin-Yi Yu: Balance is going to involve instead of one sound and 370 watts per meter squared energy, our crop energy comes in and goes out the amount comes, it goes up is
Jin-Yi Yu: 203 40 watts per meter squared. So I want you to remember this number because I can tell you the order of magnitude of energy that would be all in, we're
Jin-Yi Yu: About out of every parent that is so now if we say you do you increase coverage outside of the quiz carbon. So it's cool air 10 watts per meter squared to this balance.
Jin-Yi Yu: Can you can you have an idea to guess that this was feminism is people nappy compare the program to you for the. That's why you need to remember but
Jin-Yi Yu: Before we come to this show number a political entity pays you need to remember Sankey plus one, something, something. What but global entity penance only involved poor country and 20
Jin-Yi Yu: What okay we'll come to that point. So now sort of constant is the energy, something that was here, you see.
Jin-Yi Yu: Okay, but now come to the second thing we need to say why I say this solar constant has divided by four. Okay, we'll come to that, after we discussed the radiation send up by us. Don't worry, the Asian families side is a factor for you.
Jin-Yi Yu: And then we bring to the other side and become divided by four. But before that, let's just come through here, we see that Earth's surface is has curvature
Jin-Yi Yu: What happened, the curvature is that when this summer come to exactly it. So then go directly the energy coming to a service. Exactly. Hit 90 degree.
Jin-Yi Yu: Weather Service. So that means because we remember so comes to how much energy on a square meter right maybe square meter, at least.
Jin-Yi Yu: Right. So here is 1370 was now. Come, come, come here to a service or service and he will hit a survey exactly at a 90 degree then this one square meter service will receive once all those 370
Jin-Yi Yu: However, if you go to higher and higher morality. You notice that that's exactly same amount one solid 371 square meter is gonna shine on the surface area as a speaker their
Jin-Yi Yu: Website one meter per, per square meter square. If you call even had it if you see that that energy was spread out like a peanut butter spread out on the big area so
Jin-Yi Yu: In this area because is 1370 divided by, for example, something greater than one meter per second. So this number is going to be less than this.
Jin-Yi Yu: One 370 or so, but because of curvature less the energy does not completely absorbed by the same surface area at higher view.
Jin-Yi Yu: Right. So in order to take into the car. Notice curvature. In fact, we can say, okay, instead of, say, a whole service area that facing the sun.
Jin-Yi Yu: The whole surface area and this is for pi R Us radius squared plus radius, but we only have every time we want to have happen is facing the sun. So we know
Jin-Yi Yu: The service area here is too high, half squared plus radius. Right. However, after consider the the curvature. If I did not realize that the rear surface area that is exactly
Jin-Yi Yu: Perpendicular 90 degree particular SOS SOS or some night is this tai chi square
Jin-Yi Yu: Inch radius, right. So this is where solar energy incident on the earth is a proper amount of solar and it can be absorbed by Earth is a solo constant times the shadow area which is only pi r squared. OK, so now we have begin to have
Jin-Yi Yu: Form the right now pins that inside of this equation. This equation is called prem.
Jin-Yi Yu: We can t Anna's
Jin-Yi Yu: We are working on the energy comes in from sunlight.
Jin-Yi Yu: Can work on energy cooling down by energy escape from those data to hear that this is total amount of service our system received or the only pi r squared times x. Now let's continue. But we know that surface.
Jin-Yi Yu: Condition Barry some area is is for is some areas stanza summary is also in summer darker color that ocean or forest summer neither Carter, for example, there's a
Jin-Yi Yu: Small area so that the backhaul area absorb and our soul energy and bright area refresh our solar energy, so
Jin-Yi Yu: We need to consider the albedo right happy. The is define us the amount of energy that came in fact out compared to the energy comes in because up right and we know for the host the RP though is around
Jin-Yi Yu: It and right here, you know, happy to us is
Jin-Yi Yu: The coin popular K is a premier very happy to us, which is about 30% so we only absorb 70% of summer comes in Canada, most Americans the soda constant
Jin-Yi Yu: Times. This is a real square meter. This one, she said it was an important earth receive the energy without a shadow area is pi r squared plus radius. So we see that this one so Constantine's the cross session variables. And then, but we also need to refresh.
Jin-Yi Yu: Your point 3% actually space. So the solar energy really absorbed by those actually consider curvature. In fact, so this past year.
Jin-Yi Yu: After we can see that this surface up either in fact by one man is happy though this is become the final form of the luck inside of our energy betters equation.
Jin-Yi Yu: This is total amount of energy absorbed by this sort of constant pi r squared times one minus capital. Now let's
Jin-Yi Yu: Figure out how much energy needs to be sent out sent back to space by both so don't worry radiation or what color Teresa radiation.
Jin-Yi Yu: In order to find out how much energy will be sent back to space battles. We need to find out why.
Jin-Yi Yu: Buddhist want to send energy pack for is a physical reason for that. So what happened. And would you say what happened after some absorb some
Jin-Yi Yu: Energy, the earth will warm up in a stone any object has any has a temperature, you need to eat meat radiation out from the actual sale up the assembly be some has a temperature. So some radius and our energy everywhere. And then some of the competitors.
Jin-Yi Yu: And us also need to send up radiation, because he has temperature right and he has. He has a temperature and you didn't put the radiation.
Jin-Yi Yu: And the radiation emitted by the earth is called per ritual terrestrial radio, which I assume
Jin-Yi Yu: To be the pragmatic radiation. So you ours is a pragmatic what this practice part of it means that it can produce radiation at 20% ability, right, and then
Jin-Yi Yu: If that's the flag body, the physical model or a tell us the black Barbie is something that you need absorbed in a mechanistic radiation was hundred percent efficiency at all Windex, but it has a key or so of us will put the radiation from always
Jin-Yi Yu: From the very small one.
Jin-Yi Yu: That is tomorrow. Tomorrow ray, X ray auto body radiation from the very short wavelength.
Jin-Yi Yu: Kind of like inside for longer wavelength and ally inside. So after radiation before live and they become Inveraray. Right. And because Michael way you can read the awake getting longer, so us any proper that you will produce radiation or different or that overrides however is maxima.
Jin-Yi Yu: We initially what happened in particular websites were talking about our next. But anyway, when these family produce radiation at all with this.
Jin-Yi Yu: Right. We don't care. It is maxima here or
Jin-Yi Yu: Maximum I hear this surface area under being this radiation we integrate Sue wavelengths of radiation.
Jin-Yi Yu: And Amanda and then the total amount of radiation. The amount of radiation protocol around the area by a block party is only control by Wednesday.
Jin-Yi Yu: The temperature of that practice part is actually temperature, what does absolute temperature mean the temperature has to be major in Kelvin.
Jin-Yi Yu: That's called Opposite. Opposite. Opposite him better. Yeah. So any object that has a temperature absolute temperature not equal zero. Let's see this one zero.
Jin-Yi Yu: Calvin degree. There is no radiation, otherwise the smallness that after has a non zero absolute temperature any after you mean
Jin-Yi Yu: The table TV everything you have surrounding you is going to produce a radiation but radiation is money is going to be proportional to power for temperature for perhaps. Yeah. So most of us are Amelia has a very
Jin-Yi Yu: Low including us as adults temperature. So that's why the energy radiation. We meet is very slow right now is the first one number so sorry, the total amount
Jin-Yi Yu: And this is called STEPHEN, STEPHEN, STEPHEN Boltzmann la he tell you that the total visits total
Jin-Yi Yu: Sort of single factor determining how much energy is emitted by a block party is his temperature, the intensity of energy radiation block party.
Jin-Yi Yu: By a black party increase according to the fourth power of his actual temperature. Right. So you already notice so now son has a temperature of 6000 Kelvin degree and pick the power four times the Stephen Boltzmann constant here.
Jin-Yi Yu: Look at this total amount energy emitted by some it every square meter. And we do the same formula.
Jin-Yi Yu: can now use the same comes to see my boss comes in, put first temperature. He has 300 degree 200 degree divide by 273 equal equal how much about
Jin-Yi Yu: 37 if we see right now. Something is us here and then find out that the sense temperature 6000 us to understand you, but it is
Jin-Yi Yu: 20 times poppers temperature pending. I said, however, the total Amanda energies radiation produced by some. Is this a man and this by this amount by Sandy by by this amount
Jin-Yi Yu: Equal to 167 exactly equal to the 23rd of power for right so some Amiga 167 so Simon's solder it is it is much, much stronger because when you come to Earth, it can
Jin-Yi Yu: dilute it becomes smaller.
Jin-Yi Yu: So here, this is PREP Stephen Boltzmann not telling you how much energy is produced in a different wavelength. And this whole areas proportional to that.
Jin-Yi Yu: So we know that because based on Stephen balsam you know if we have a surface temperature key of E
Jin-Yi Yu: And then we take a powerful estimator kinds of Stephen Bozeman law nasty. How much energy emitted AV square meter of service. Now, in order to find our global energy products. We already find a powerful a magnetic
Jin-Yi Yu: Hit that deliver to sell that the rebuttal from Santos is S has pi r square radius us times one minus happy though. Now we need to know the total Amanda enmity last send out by our US based on Steam abortion or not. And so we'll put this one for pipe.
Jin-Yi Yu: Now, Jimmy sigma to repeat to a forceful estimator tied because Earth is a sphere every path it producer radiation goes up.
Jin-Yi Yu: And that total service areas for Python script. Right. So now let me run out of time, so I'm going to come to this premise that energy parents or stop your app or taco parties. So energy we absorb
Jin-Yi Yu: The energy we absorb is sort of constant kind of cross session, times one minus beta, we talk about energy send up to space battles to step apprentice Stephen Bozeman Doc is for pi r squared.
Jin-Yi Yu: The total surface area has the right kinds sigma 24 so now the interesting part here, we are using the cross section pi r squared to receive sunlight.
Jin-Yi Yu: But we are sending energy up in this whole spherical surface which is for password. So, the surface area we used to eat meat.
Jin-Yi Yu: Radiation to call them out there is math is for a larger than the surface area we used to intersect solar radiation. That's why if we cross out the pi r squared on both side here. Yeah.
Jin-Yi Yu: And they see that you have this factor for neither come to the side. Okay, so see from Apple tea.
Jin-Yi Yu: So all this radiation Stephen Bozeman already as you can, every square meter. How much was emitted here at square meter of
Jin-Yi Yu: His seminar this amount of energy to go out there and as equal to the solar radiation soda cans of the back I for
Jin-Yi Yu: Now, you realize by for coming up, because all the solidarity with see from cross session has to be used to sprout for pastor. That's why I need to divide by four and then after that kinds one happy.
Jin-Yi Yu: Man's have either so circumstance one solace, you have 273 right by a factor of four times one. This one is 0.3 right
Jin-Yi Yu: Exactly. See that this is the number you need to remember our group or entity parents we every square meter of service center track record and healthier by seven 240
Jin-Yi Yu: scape to space and busy exactly how much we receive from some so some initial centers one she's $70 but we only really use them every
Jin-Yi Yu: square meter race only 240 we're going to send 240 back to space to the parents each other. Okay, so do you see equation tell us that if you can see that this
Jin-Yi Yu: And then put all this number, we know and then this sigma to the people for should be 240 every square meters. You made 240 in
Jin-Yi Yu: That initial space and property and blocked by the already know this is a constant. So we know oh surface has to be this match.
Jin-Yi Yu: The force root of this number in order after the by the, by Stephen possible or not, in order to Paris. This image and then we find out in order to balance.
Jin-Yi Yu: This global energy parents. Oh, surface has temperature has to be 255 degree angle is equal to minus taking decreasing now means if we just consider how much solar radiation comes in. How much goes up our surface temperature will be freezing
Jin-Yi Yu: below freezing point, then we should not have. What do we want the earth hope frozen right but we are temperature, we see that the summer 280 288 Calvin equals 15 degrees at this is observed.
Jin-Yi Yu: Surface temperature
Jin-Yi Yu: And this is the supposedly we should be minus 80 degrees. See Facebook group or energy parents a lot
Jin-Yi Yu: Right to spend as radiation comes in to radiation goals are and the difference between 15 degrees. See, in reality,
Jin-Yi Yu: To the minus 18 degrees below zero. In theory, the difference is 32 degrees see right now why we have this 30 degree see increased from this is theoretical parameter energy parents to this real as ever observed emitter
Jin-Yi Yu: This is because we are mostly produce greenhouse effect. And it's greenhouse effect. So is the other temperature minus the temperature coming up on premise.
Jin-Yi Yu: To people. So this is one way to describe to quantify how strong the greenhouse effect is in Alchemy system. So if I asked you how much how strong, could you tell me how strong is up when I was in fact
Jin-Yi Yu: That produced by Earth's atmosphere. You say that greenhouse effect producer. He's three decreasing warming
Jin-Yi Yu: Or call you can describe something that he produced. He was for me. There's put energy back to speak better surface. The other must be
Jin-Yi Yu: Absorbed normally radiation in the Senate back to surface by he was coming. So we're gonna end up near the end. The restructure but the
Jin-Yi Yu: Way to see how much how strong greenhouse effect is this tool number but completely different. So how much we produce. So these are decreasing warming
Jin-Yi Yu: And why we have this warming why we didn't see that here because everything here is does not take into account is assuming that we do not have the most
Jin-Yi Yu: Energy solar radiation comes in Spanish by service Korean only energy comes in service could only surface and not atmosphere. If you put into other must fear and this, it must be. It has water vapor as carbon dioxide, all these clean house gases.
Jin-Yi Yu: Then it's going to track pad of these cooling effect is said that Cody effect backwards and say, hey, it was for me the script. And that's why surface that needed a warm up. So we're going to talk about this.
Jin-Yi Yu: Next Tuesday and
Jin-Yi Yu: And that's it, and their homework. This one, number two is available on the canvas and then needs the assignment have to 61 key okay how stop you. Thank you very much. Bye.
Jin-Yi Yu: Hi everybody.