Buoyancy - By MITK12Videos
Transcript
00:07 | we know that objects fall towards the earth because gravity | |
00:10 | acts on them . But if gravity acts on everything | |
00:13 | , why doesn't everything sink ? Imagine a submarine that | |
00:18 | is stationary underwater . We know gravity is acting on | |
00:22 | it , but the sub isn't sinking . So there | |
00:24 | must be a force opposing gravity . We call this | |
00:28 | force buoyancy . In this video we will examine buoyancy | |
00:33 | and why some things float while others don't . 1st | |
00:37 | . Let's review density . Before we move on to | |
00:39 | buoyancy , different materials have different densities . It's a | |
00:44 | measure of how much mass there isn't a given volume | |
00:47 | and is determined by the following formula , density equals | |
00:50 | mass , divided by volume . Density is an intrinsic | |
00:54 | property , which means it depends on the material but | |
00:57 | not the shape or size of the object . So | |
01:00 | while a gold bar may weigh more than a gold | |
01:02 | coin , they have the same density . And while | |
01:05 | a kilogram of rocks and a kilogram of feathers have | |
01:08 | the same weight , they have very different volumes and | |
01:10 | therefore very different densities . Mhm . Generally rocks and | |
01:15 | metals are more dense than water and sink , while | |
01:19 | styrofoam and wood are less than than water and float | |
01:24 | . So we see the density affects buoyancy , but | |
01:28 | it can't possibly be everything . Many modern ships are | |
01:31 | made of tons of metal that are more dense than | |
01:33 | water , but the ship's still float . The boats | |
01:36 | are floating because they are not just a solid block | |
01:39 | of metal . Their hull is made of metal , | |
01:41 | but the inside is full of air and room for | |
01:43 | people in cargo . The ship , with all the | |
01:46 | space inside displaces a greater volume of water than if | |
01:49 | it were squished into a block , in which case | |
01:51 | it would actually sink . Therefore , we now know | |
01:55 | that both the volume of the fluid displaced by the | |
01:57 | object and the density of the fluid play a role | |
02:00 | in defining buoyancy . With this in mind , let's | |
02:03 | take a closer look at how things actually float Here | |
02:07 | , we're placing three identical wooden blocks and three liquids | |
02:10 | with different densities . The liquids are honey water and | |
02:16 | rubbing alcohol . Notice how the more dense and liquid | |
02:19 | is , the higher the block floats . Hence we | |
02:23 | see the importance of the liquid density on the buoyancy | |
02:26 | . Also note that the higher the blocks float , | |
02:29 | the less liquid volume is being displaced . This demonstrates | |
02:33 | how to displace volume plays a part on buoyancy as | |
02:35 | well . So , up to now we know that | |
02:38 | buoyancy opposes gravity . Buoyancy depends on the density of | |
02:41 | the fluid , and buoyancy depends on the submerged volume | |
02:44 | of the floating object . Our committee is an ancient | |
02:48 | greek scientist found . The buoyancy force is proportional to | |
02:52 | the density of the fluid and the volume of the | |
02:53 | fluid displaced by the object . If this buoyancy force | |
02:57 | is greater than the gravitational force acting on the object | |
03:00 | , it floats . The exact equation found for the | |
03:03 | buoyancy force is given by F . B equals G | |
03:06 | . Times G times B . Where F B . | |
03:09 | Is the buoyancy force D . Is fluid density . | |
03:13 | G is gravitational acceleration , envy is displaced volume . | |
03:18 | Let's use our comedians equation to figure out how much | |
03:21 | weight a cargo ship can carry . Our cargo ship | |
03:24 | is 250 m long , 30 m wide and goes | |
03:28 | 10 m below the water surface . Multiplying these together | |
03:32 | , we know the volume displaced by the cargo ship | |
03:35 | is 75,000 m3 . Multiplying by the density of water | |
03:39 | and gravitational acceleration , we get that the buoyancy force | |
03:42 | acting on the ship is 735 million newtons , or | |
03:47 | about £165 million . That means that the ship could | |
03:52 | hold £165 million pounds of weight before it sinks . | |
03:56 | That's the equivalent of 8000 elephants , or even 170 | |
04:00 | jumbo jets . We can also use buoyancy to explain | |
04:03 | some interesting experiments that you can try at home . | |
04:08 | For example , one of these eggs is fresh and | |
04:10 | one was accident left out of the refrigerator . How | |
04:13 | can we use buoyancy to figure out which is which | |
04:16 | ? Well , one floats and one sinks what's going | |
04:19 | on ? This is a bit tricky . While X | |
04:22 | shells look solid , they're actually porous . That means | |
04:26 | that the shell is covered in small hole over time | |
04:29 | . As the egg starts to rock , the eggs | |
04:32 | liquid leaves through these holes and is replaced by air | |
04:36 | . When this happens , the volume of the X | |
04:39 | . Stays the same while the X mass is decreasing | |
04:42 | . Therefore the density decreases . After enough time , | |
04:47 | the X density becomes lower than the water's density and | |
04:51 | the egg starts to flow . Here's another experiment that | |
04:56 | you can try at home . What happens when you | |
04:58 | dropped raisins into soda ? Sometimes they're on the bottom | |
05:02 | of the glass while other times throughout the top what | |
05:05 | is going on soda has carbon dioxide gas , which | |
05:10 | escapes as bubbles . Raisins are more dense in water | |
05:14 | than initially sink . Since raisins have wrinkled skin . | |
05:17 | The bubbles can get trapped on the surface as they | |
05:19 | try to escape . These bubbles are buoyant in water | |
05:23 | because they're low density and cause the raisins to float | |
05:27 | after the raisins reached the surface , the bubbles pop | |
05:30 | and the raisins sink again . This process repeats and | |
05:33 | the raisins dance and thats buoyancy . Mhm . |
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