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lecture on unit conversions

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so you listen Persian what is meant by converting units changing units from one type to another without changing the measurement itself torrent I asked you how tall you are you tell me five foot nine inches tall whatever I think it's all together operate the challenge like this again okay what how far can go out with short guy I'll cover him getting better to run If I Stay and if you told me your five 9 I can wait I want that in meters that's converting units into a system or maybe we're going to do calculations and how many meter is it is so changing the units without actually changing the measurement is still the same amount the same distance the same time same energy the same thing did you understand what basic principles of mathematics you can do here's the thing you need to understand what can you multiply any number by and not changed at number one BFF do you know the deal to do this at if you know that x one doesn't change something you know how to do conversion 180 what number is there any 020 another system unless there's an added on oh I guess you say that person is 0 inches tall is how many centimeters tall they are that's a litter of American made here I am yeah yeah you are so weird without sounding selling system zero is not the same place that you insisted we had a hat in your feet wrapping thing on there too quick to use it to the light still don't have the same as yours an atom's attraction to jail because their minds. So am I if I want to still here 50 fraction equal to 1 what are you thinking about people that want if you have the same top and bottom urban language numerator denominator 2 + 4/6 is not equal to 1 are they the same just because they don't look the same doesn't mean they are not the same they can be the same without looking to say tell me what this fraction is equal to 1 ft / 12 in one the one the one on the top and bottom are there only for the one because the top and bottom are the same this is the key to doing conversions It won't always look the same like 2/2 but they are equal to one so if you can understand that when you multiply by the one you don't really change measurements might be able to change the units by doing that do not change in the measurement is going to be an easy task for you to do in the beginning it's going to be very simple it really culminates when you get to 10th Street when you're doing this. and you're starting with graham three abdomen you're changing that to moles of reactant moles of product grams of product and then if it's a gas you can have your the leaders of product express it in volume that would be fun conversion call interrupt if you know this system it's a piece of cake if you try to do it other ways like in your head I made it lost and find somebody duson La physics and chemistry pitch I can try to find somebody that will reach each year Okay so I'm not going to spend too much time talking about this I think doing it is the important thing I'm going to boil it down to the two main concerns when I'm thinking of unit conversion is very simple to convert unit we need to set up the proper converters to do that. What you need to worry about is a unit converter that's the fraction equals 1 so you get that fraction equal to one that's going to help us convert we need to know first we need to think about what we want to get rid of but you didn't need to go number two if we keep those two things in mind then our skills are going to be how do we get from A to B and usually going to be is going to be straightforward on sometimes it's not sometimes it's a day and a half to be sometime you have to do an intermediate step and I'll tell you the things I do that call me to not make errors as I go through this so the first one how many seconds in 3 hours I can't tell you if I didn't teach you the method of this how many people would say 100 pay you 60 right now review 60 x 60 which is 3600 can later on when we do some other ones I'll I can what pick was the point where I'm about to show you first step is always the same it's a piece of cake Easy Peasy is lemon and it's bleeding squeezies you can do this right thing you want to convert for one that's it no looking stuff up what are we trying to convert in this one three right three hours now you can abbreviate out how could you do that are at really be this evening HR has also either one but plain old age did power so you could do HHR HRS all three of those the same thing here's what we need we're going to do our converter we need to think about what we want to get rid of him what we want to get we want to get rid of hours we want to get seconds is there a conversion factor on your Yellow Sea directly from hours to seconds so we've got one we've got a single conversion factor that allows to do this so let me show you how I call this now I know if you're at the back of the roundness how to pack glasses no I don't want to go blowing this up right now sorry I'll just mess things up if you're if you're cool and you have blasted ears back in the room you can take off my glasses how to change the shape of my car Elmo and it does you can actually but it's not good for your eyes and it works more towards when you wanted to have reading problems so far away vision the reason that I did not focus because my eyes not the right shape the light is not focusing on the back of my eye if I can change the shape of my eye is like jello side of your eye just pushing in on it and stuff you can sometimes get a little bit better but it's not working remind my glasses I see that perfectly if you're back here and you're not seeing that stuff if you decline really easy I try and do what why people a lot easier than getting yeah that's cool that's cool okay so here's my conversion fraction right here what's that fraction equal to 3600 seconds over 1 hour at 1:10 with 1 numerator the same equipment 3600 seconds 1 hour same thing so we're multiplying this by one does that change it change it to change the unit of not the actual measurement is still going to represent the same amount of time so why did I put ours on the bottom and not on the top okay better because you multiply 1 5 3 hours you're still just going to end up with the same 3 hours nothing's going to change something we don't want it Supply these two fractions multiply across the top multiply across the bottom what happened to H&H take a note we put ours on the bottom here specifically so that it gets rid of this one why do we put seconds up top cuz that's what you want to get rid of it goes on the bottom that's going to match the unit here so they canceled do we need to multiply call Solomon divided on the phone why don't you ever call you making that original measurement look like a fraction so that when you multiply across you have six or seven unit multipliers you'll be okay it's just better for your brain to see fraction times fraction instead of non rack and like I said three you're going to start going to buy multiply their brains going to try to figure out things you don't need to figure out so they really this is one of those things that I asked you to do that's just kind of my thing saved me from making Eric so I'd like you to do Tennessee to starting point what I want to get rid of over 1 times sign fraction line find your converters the one you want to get rid of on the bottom when you want to get on the top do the math near it will be that let's see about the second one now okay how many meters are in 26.2 beard Marathon Marathon marathon runner on the back of some people's cars they had those like oval stickers out of a 26.2 or so people that are brothers and they how to express which person you do 40 * 6 do I put one over one 26.2 miles how do we abbreviate miles MI first thing you do is 26.2 miles over 1 can you put a Time sign in a fraction line next thing I always do is I do this I do this and I do that and then I go to my conversion is there a way for me to hear the two things I need to think about what I want to get rid of and what I want to get to Kneaders so now I go to my conversion sheet is there something that I can do to go from meters to miles and miles to meet ya there is one under the dentist one mile equals 1609 we wanted to cancel if I put it on top cancel an area will still get to look at Miles Square per meter distance measurement still but it's a nonsense unit and nobody understand is a mixed unit of different systems is real what dimensional analysis with pellet pistol length measurement what it is that's okay now x. X cross the bottom and divide do I need to worry about that there once Whenever there was it simple for you to help my brother stop it won't always be one but then or maybe if you have a second one sometimes you have to do two conversion factors to get from beginning to end the event where it went when is not a one footage assignment recovery commission * * and I 42156 if you are a runner and your stride length while you're running is this long a meter give me a pretty small personality of a marathon and that's your stride length but there are people that I take in one day yeah now the real fast Runners are going to have a try this out the Holden about 2 meters go when they get a stride length is about 2 meters how many sets are they dating in 1000 78 yeah so if we want to try to be exact or anything like that that's over 20 stop now the scientist would go in a person's foot handle that much force can a Conoco can I do to his shoe and make that better on the first how can I present for his hours left before something first Alta where is the forecast going to be in the life you want be up on the hill on the ball of the foot of a toe is there a force on the ark can we put something in a shoe that would put up on your arms and puts horse there these are the questions in science with a scientist would do to try on them are you okay how can we improve a runner's performance let's look at their motion on video and let's see if there's anything where they're wasting motion do you see people in marathon races Garrison try to reduce that waste in motion some scientists to take this information and go further all right how many meters per second is 65 Mi per hour where you going to be signs at 6:55 miles an hour all the way on the freeway so if you happen to want to join this secret physics gang here on campus I might have to jump you into the game to jump you into the game you're going to have to do some type of activity in this activity maybe I'll give you a spray paint that will run on the freeway and that's all change it to the appropriate leader cuz that yeah we have one that is all the Americans feel like probably right Teresa miles for where does it say speed limit 65 they're just going to see a number they're going to assume to miles per hour what is that number so there are many mirrors 55 miles an hour over one that's your starting point and a Time sign and then a fraction line then find how you can get miles per hour to meters per second notice that the mile per hour is all up top power doesn't come down to the bottom is considered one unit that we are getting rid of much easier when we think about you what happened I didn't have that so here's one where a lot of people would do that they might x 2.24 not setting it up this way with the units in realizing wait a minute 2.2 floors with the miles per hour to meter per second that needs to go on the bottom so I can cancel miles per hour so in this case we have to divide 65 / 2.2 for about 20 not real. What round number 30 so every second you're on the freeway in a car 1 1000 how far are we going to meet her and give God a 30-30 of these three of these is just about the length of this whole building Everytime You Go 1/1000 on the freeway and that's going the speed limit not more than the speed limit at going the speed limit you got to realize we are from the environment I'm dry you off and don't realize how fast you're going and you won't realize it until an emergency happens and that's the old that's not one you want to realize how fast you're going people in California do not leave enough room between other people on the freeway Herb in front of you that's the reason we have so many accidents in California and that's the reason California has the law that if you rear-end somebody you're lying emergency stop you're allowed to do that you were too close your insurance goes up the hard-earned money you make no longer goes for the trips in the clothes in the food in the car. Now it goes just so you can drive a car door you want to waste your money on the shirts leave room between you and the person in front of you now it's frustrating to do that California cuz here's what I do in front of me my brain goes there a little too close song happens on the next truck in front of them boxes out like a wrench they might hit them right when they get their brakes I have to stop to so I start lowering my speed limit on the freeway going less than 65 miles an hour in miles an hour. Is that okay but less than 45 display above 40 or 45 miles an hour so I slow down what could happen to the car in front of me can I move out rice to go inside so what happens between an increase of space that's the frustrating thing that happened in California as soon as you open up his face in front of it and make it safe to your lane you have to drop that again Park if you want to be safe on the freeway through Sparta what you're going to have to do how do I tip Miss and I hope you don't waste all that money on accident stuff like that that is only that is a waste of money but you would be paying less money for the same coverage okay let's do one more swan is going to involve two conversion factors not just one fraction Hoffer law anybody know where you might hear the measurements for long I feel like is my night better Alvin Darling horse racing horse races are pretty much almost all horse races are from even multiple of a or sometimes it's a half for long added on the public go up to Del Mar you'll see if you get the booklet that tells you about the horse race Associated sulfide for a long way I prefer long but I want to know 1 Furlong which is 220 yd how many liters is that you know the first step first at BPI bring up the pick for this what do you do if you write it over I don't know what do you want to convert calm down first thing we do is we write 220 yards over one how you going to bring a yard is there a conversion factor on the back of the boat from yards to meters. you should do Dentistry Garden 67th Street exactly what you do. We can just go from feet when go to meters we have one on there that goes feet to meters so again 220 yards is written over one then I write a Time fraction line I realize I can't go directly from yards to meters on the information I have so then I have to say what can I change yard to this is what you should know so I can change from yards to feet Courtyard on the bottom feed on the top if I just stopped right here I'd be converting yards to feet but that's not what we wanted we want to meet her so now I'm going to convert Demeter's what was on the back of your sheet that one you can grab 5.305 m is equivalent to 1 foot now we're just left with meters that's our answer what's this fraction equal to y11 what about this fraction you'll be doing just like one of these actual and then one that's going to make you stay tonight for homework second page is going to be in a very simple way tell you how to deal with metric prefixes you can do converters for prefixes this conversion method also works for metric prefixes you might need that tonight route to use a method that could be a little easier than this for one doing those type of things one metric prefix to another two basic ways to do that conversion One is using what's called a multiplier that's just a regular and the other is that using decimal number means a power because all the metric prefixes are powers of 10 off for one another well how is the Ted I'm a familiar with some of the multipliers do you want kilo mean one one hundred a hundred okay you know somebody until that's pretty cool cogat test intention -15 text book textbook sit on either page six or in the back of the textbook is appendices that's good information in there that you might need to know sometime first daddy wouldn't you go first to look and see if you can find Pepto your first thing and if not maybe go to the book okay let me show you conversion with these two methods first by a multiplier to Second by a power of 10 so I'm going to convert 12.8 km Demeter's I want to get rid of the cat the kilo this one is pretty easy to just use the multiplier where I see the word kilo I substitute in the number 1000 and that means the x that so 12.8 kilos there we go both ways is 12.8 time find me turkey Logan South multiply that already calculated 12800 so if I wanted to do this instead of using a multiplier instead of using a multiplier if I wanted to do it using a power I would substitute instead of substrate 1004 kilo to the power of 10 that equals 1000 how many times does it take to get 1020 * 310 * 10 * 10 is there a shorthand way to write 10 * 10 * 1/10 to the 3rd power we tend not to say light squared and Cubed and stuff we just use a second power third power horsepower looking at using my name to the 7th power quality shake that I can be heavy attachment to dimensional shape I'm not saying all this something for the 7th power 10 to the 7th power with people like 10 million level level D Hall at bowling and what's more is 144 I know I know this to be true who is 144 I don't know I'm not taking a nap. Where is this how to make a cube I am in the third power at 10 * 10 - 10 + 1000 little different terms using those X on each other dimensional I'm not thinking that is being conventional okay so this turns into 12.8 but you're going to find out tomorrow that the actual weight was depressed that is 1.28 X 10 to the 4th instead of 12.8 * 1/3 + 1.28 * 74 isn't the same magnitude the same amount why do we write it this way I'm not going to give you that lesson today I'm going to get a little I know it looks really know because it's more than yeah it has to be between 1 and 10 beginning number of fishing tomorrow so I probably just * 1000 I might not use 10 to the third all I see is one where the multipliers going to be kind of a pain 31 points are in 3.17 nanometers to meters a nanometer is one one millionth of a meter how to distance across diameter of an atom is not one now question start counting of zeros how many zeros is that not counting the zero before the decimal for 1000000 is an easy I love you know when do you start getting you could do this okay if possible to do it but when you start getting things like 10 to the how to get 15 power you got 14 zeros in 1 writing that one is answer you have to write this answer six or seven times it's going to be a What If instead of substituting the multiplier for Nano if we instead substituted the power of 10 which is 10 to the negative 9th power that means negative power sending one over so 10 to the negative 9th power is the same as 1 / 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 ft x a billion one over a billion one 1 billion this says 3.17 in the parentheses is negative 9th power and then when you do that is 3.17 is that between 1 and 10 that's proper coefficient for scientific notation is you'll be tomorrow so this answer would be 300

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