How to work out Engine Capacity - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to Tech Math channel . This | |
| 00:01 | video is a special request from one of my patrons | |
| 00:04 | who , who wanted to know how to work out | |
| 00:06 | engine capacity . So we'll launch straight into it and | |
| 00:09 | a big shout out to all my patrons . If | |
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| 00:13 | see there's a link below the video in the description | |
| 00:17 | and you can support the tech mouth channel and your | |
| 00:19 | help is really appreciated . So let's look at how | |
| 00:22 | we work out engine capacity and to start off engine | |
| 00:25 | capacity is a volume measurement . You might have heard | |
| 00:28 | our engine sizes talked about in terms of , say | |
| 00:30 | , a 1.4 litre engine or maybe a 250 cc | |
| 00:36 | engine or even from the United States . You might | |
| 00:38 | have even heard of an engine talked about in terms | |
| 00:40 | of cubic inches . Pretty much these are all volume | |
| 00:44 | measurements . Leaders , Well , there's 1000 cubic centimeters | |
| 00:50 | in one liter . Okay , basically 1000 cubic centimeters | |
| 00:55 | , 250 CCs , 250 cubic centimeters . So , | |
| 00:59 | it's a volume measurement . All right . The other | |
| 01:02 | thing that is important to understand is how the basics | |
| 01:05 | of an engine work . And I've got a diagram | |
| 01:07 | up right now that looks at this , we've got | |
| 01:09 | a six cylinder engine . And what's happening in this | |
| 01:11 | engine is we have pretty much some fuel being fired | |
| 01:15 | inside some cylinders and as it's being burnt , what's | |
| 01:19 | causing is some pistons to go up and down . | |
| 01:21 | We have the six cylinder engine here and these pistons | |
| 01:23 | are going up and down . When we're talking about | |
| 01:25 | engine capacity or engine displacement , we're talking the total | |
| 01:29 | amount of that these pistons are moved . Okay . | |
| 01:32 | The volume pretty much that are encapsulated when they move | |
| 01:36 | for all these six cylinders over one cycle of the | |
| 01:39 | engine sound pretty nasty . It's not too bad . | |
| 01:42 | I'll tell you what , I'll draw up a cylinder | |
| 01:44 | and you'll see how this works . Now we have | |
| 01:48 | the diameter of the cylinder which is said to be | |
| 01:52 | its bore . Okay , the other measurement that we | |
| 01:55 | need to know is how much the piston moves up | |
| 01:58 | and down within the cylinder . Okay , this measurement | |
| 02:00 | here , This is said to be its stroke or | |
| 02:03 | just write that in . So how do we work | |
| 02:05 | out the engine capacity ? Say , for our six | |
| 02:07 | cylinder engine that we had based on this particular idea | |
| 02:10 | here ? Well , it's pretty simple because we're dealing | |
| 02:11 | with cylinders . Well , the volume of a cylinder | |
| 02:14 | is as follows . It's Pie R squared times the | |
| 02:18 | height . Okay , that's the volume of any cylinder | |
| 02:21 | is pi r squared times the height . And then | |
| 02:24 | what you do is you multiplied by the number of | |
| 02:25 | cylinders . So in this case , what do we | |
| 02:28 | have ? What we have , pie ? Which is | |
| 02:30 | 3.14 the radius , which is this halfway measurement here | |
| 02:35 | . So , the halfway measurement of our particular circle | |
| 02:38 | here is half of what the bore is . Okay | |
| 02:41 | , so its the boar divided by two . And | |
| 02:46 | what we do that is we would square that . | |
| 02:48 | So I'm going to put that in brackets and we | |
| 02:49 | would square it . Okay . And basically it's the | |
| 02:52 | half a measurement of the boar squared and that is | |
| 02:55 | multiplied by the height , which for our cylinder here | |
| 02:58 | is the stroke . Okay , So times a stroke | |
| 03:01 | , and we were talking about engines were also talking | |
| 03:04 | about , we have to consider the total number of | |
| 03:06 | cylinders . So safe for our six cylinder engine . | |
| 03:09 | We were times it by the number of cylinders . | |
| 03:12 | Okay , so I've run out of space here , | |
| 03:13 | but I'm gonna just say times the cylinders . Okay | |
| 03:17 | . Uh , and it's a bit messy , but | |
| 03:20 | you'll see what I'm talking about . Okay , so | |
| 03:22 | this is our engine displacement and that's the way we | |
| 03:25 | work it out . It's pretty simple . Right ? | |
| 03:27 | So , what about I go through a couple of | |
| 03:30 | examples of this . Okay , so the first example | |
| 03:33 | , I'm going to have a look at what I'm | |
| 03:34 | talking about energy capacity . I'm going to look at | |
| 03:36 | a five liter forward mustang . Okay , so straightaway | |
| 03:40 | , we already know the engine capacity should be around | |
| 03:42 | about five liters . In fact , I'll put that | |
| 03:44 | in a little . I'll just write that over here | |
| 03:47 | . It should be about five liters . Okay , | |
| 03:48 | this is a five liter ford mustang . As I | |
| 03:50 | said , now five letter forward mustang is a V | |
| 03:53 | eight engine . What does that mean ? Well , | |
| 03:55 | it means it has eight cylinders . Has eight of | |
| 03:57 | these guys eight of these pistons and the cylinders . | |
| 04:00 | So straight away , we're going to be multiplying our | |
| 04:04 | volumes that we work out for each cylinder by eight | |
| 04:07 | to get the total engine capacity . Okay , so | |
| 04:10 | the other thing we need to know is the boar | |
| 04:12 | here as well as the stroke . So the board | |
| 04:15 | I looked it up Is 92.2 mm . The stroke | |
| 04:22 | is 92.7 mm . Yeah , before I start I | |
| 04:28 | just am going to convert these across because we don't | |
| 04:31 | we usually talk about angie capacity and we talk about | |
| 04:34 | either in terms of leaders or cubic centimeters and I'm | |
| 04:37 | going to start out with cubic centimeters and then I'm | |
| 04:39 | going to change it across the leaders but cubic centimeters | |
| 04:42 | we're going to have to have our measurements here in | |
| 04:44 | centimeters . So there's 10 millimeters equals one centimeter . | |
| 04:50 | and so I am going to divide each of these | |
| 04:52 | by 10 to change them across to centimetres . Okay | |
| 04:57 | , so through the magic computers , I've straight away | |
| 04:59 | I've just changes across in two centimeters . So let's | |
| 05:03 | just start substituting in values into our formula here and | |
| 05:06 | we can work out that this engine capacity should be | |
| 05:09 | correct . So the engine capacity is equal to pi | |
| 05:13 | Which I'm going to keep us pie but is 3.1415 | |
| 05:15 | . Data Times The Board . Now the bore is | |
| 05:19 | this one here ? So 9.22 divided by two . | |
| 05:24 | And that is going to be squared . That's going | |
| 05:26 | to be multiplied by the stroke times 9.27 . And | |
| 05:32 | that is in turn , you'll be multiplied by the | |
| 05:35 | number of cylinders , which is the V- eight . | |
| 05:37 | So , we're talking eight cylinders . All right , | |
| 05:40 | so pretty . All right , so far , what | |
| 05:42 | would we end up if we do this ? So | |
| 05:44 | , if you were to go ? Okay , let's | |
| 05:45 | keep eyes . It is OK . 9.22 divided by | |
| 05:50 | two . So 9.22 divided by two is 4.61 And | |
| 05:56 | we would square that times 9.27 multiplied by eight . | |
| 06:02 | So I'm sure you could go through and you can | |
| 06:04 | work all this out . What you would end up | |
| 06:07 | getting is you would get pretty much per cylinder this | |
| 06:10 | times this times this six 19 cubic centimeters and that | |
| 06:17 | would be times eight because we're talking eight cylinders . | |
| 06:20 | If you do this in terms what you're going to | |
| 06:22 | get is you are going to get 4,952 cc . | |
| 06:29 | Okay . So what you might remember this is that | |
| 06:32 | what we had before was 1000 cubic centimeters equals one | |
| 06:38 | leader . Okay , So each 1000 we have a | |
| 06:40 | leader . You're going to see that this is equal | |
| 06:42 | to 4.952 leaders . So this is pretty right . | |
| 06:48 | We have a five liter engine here . Alright , | |
| 06:51 | so no problem . Yeah . What about we go | |
| 06:53 | through one more example . Okay , for the second | |
| 06:55 | example , I'm gonna go look , I'm gonna go | |
| 06:57 | my first car , which was the HQ . Okay | |
| 07:00 | , um HQ . And it was a six cylinder | |
| 07:03 | . Okay , so we're gonna have uh for you | |
| 07:05 | guys , I don't know what I'm talking about from | |
| 07:07 | overseas in Australia . I look up at HQ . | |
| 07:10 | They were a magnificent car right Now . These guys | |
| 07:13 | had a bore and stroke as follows . They had | |
| 07:16 | a bore of 92.1 which I'm going to call 9.21 | |
| 07:21 | cm . Just changed it straight away over . And | |
| 07:25 | we also had a stroke of 82.6 which I'm going | |
| 07:29 | to change over to 8.26 cm straightaway . Good idea | |
| 07:34 | to do that straight away . So what we're gonna | |
| 07:36 | do , we're gonna convert . So what we're gonna | |
| 07:39 | do , we're just going to substitute into our formula | |
| 07:41 | . Okay , So our engine capacity was equal to | |
| 07:44 | pi Times the ball which is 9.21 over two . | |
| 07:51 | Because we're working at half this for the radius and | |
| 07:55 | we're gonna square that . And this is multiplied by | |
| 07:58 | the stroke times 8.26 . And this was a six | |
| 08:02 | cylinder engine . So multiplied by six . All right | |
| 08:05 | . So what would we end up with if we | |
| 08:07 | did this , we'd end up with pie And this | |
| 08:09 | would be multiplied by half of 9.21 , which is | |
| 08:14 | 4.6 Squared Times 8.26 . And that would tell us | |
| 08:22 | each cylinder and then we'd multiply it by six to | |
| 08:24 | get the total engine displacement of the total engine capacity | |
| 08:28 | . So if you do all this and you were | |
| 08:30 | to work all this out , Okay , what you | |
| 08:32 | would end up getting is you would end up getting | |
| 08:34 | an answer of 3301 C . C . Which is | |
| 08:41 | equal to , because each cubic centimeter is equal to | |
| 08:44 | with one leader , sorry , each cubic centimeter 1000 | |
| 08:48 | cubic centimeters is equal to one liter . We would | |
| 08:51 | end up with a 3.3 liter engine and that's exactly | |
| 08:55 | what I remember my car had . So there you | |
| 08:59 | go . That's how you work out engine capacity . | |
| 09:01 | It's not too bad when you get into it . | |
| 09:03 | Okay , It's just a matter of really just treating | |
| 09:05 | it like basic cylinders . Okay , anyway , thank | |
| 09:08 | you . Once again , if you like this video | |
| 09:10 | , please do hit the like button there and please | |
| 09:12 | subscribe and once again , a big shout out to | |
| 09:16 | my patrons who you love your question may and , | |
| 09:19 | and to all my patrons . I really , really | |
| 09:20 | appreciate your support and I also want to become a | |
| 09:23 | patron of the tech mouth channel . Little link down | |
| 09:25 | below there and another big shout out that I haven't | |
| 09:28 | done yet . Young guy called Ben , who was | |
| 09:31 | talking to the other day . I've been featuring his | |
| 09:33 | math channel , going to put links up at the | |
| 09:35 | moment . Just the new Matthew Matthew to be coming | |
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| 09:40 | a fair bit . I reckon just trying to boost | |
| 09:41 | up his channel a little bit . Um , anyway | |
| 09:45 | , big share that to you as well mate . | |
| 09:47 | Okay . And I hope it all goes well . | |
| 09:48 | We'll see you later . See you next time . | |
| 09:50 | Bye . |
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