{"id":4695,"date":"2010-05-17T09:39:46","date_gmt":"2010-05-17T09:39:46","guid":{"rendered":"http:\/\/scienceblogs.com\/principles\/2010\/05\/17\/bath-time-fluid-dynamics\/"},"modified":"2010-05-17T09:39:46","modified_gmt":"2010-05-17T09:39:46","slug":"bath-time-fluid-dynamics","status":"publish","type":"post","link":"http:\/\/chadorzel.com\/principles\/2010\/05\/17\/bath-time-fluid-dynamics\/","title":{"rendered":"Bath-Time Fluid Dynamics"},"content":{"rendered":"

SteelyKid’s every-so-often bath was last night, and as always, she was fascinated by scooping up water in a hexagonal cup thing that’s part of one of her bath toys, and watching it drain out. Which is completely understandable– not just because she’s a baby, but because there’s a bunch of physics at work, here.<\/p>\n

I realize this is trampling on Rhett’s territory<\/a>, but I made a little video showing the physics part (in the sink, not the tub, because I don’t want to have the pay the therapy bills that would come from posting video of SteelyKid in the tub):<\/p>\n

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The explanation is laid out in the video, but if you’re someplace where youTube doesn’t work, I’ll put a short summary below the fold:<\/p>\n

<\/p>\n

The toy in question is a hexagonal stacking cup from a turtle-shaped bath toy:<\/p>\n

\"i-2556cab18583f50c3b5ab6f6bf9fc769-hex_cup_numbers.png\"<\/p>\n

It has six holes in it (numbered in the picture), so it doesn’t hold water forever. One of the two physics elements to the video has to do with the draining of the cup. When the cup is full, water is pushed out through these holes by the weight of the water above the holes. When the cup is full all the way, this hydrostatic pressure is large, and the water sprays out to the side quite a bit (the holes don’t point straight down, but sideways through the wall). As the water level drops, the amount of pressure on the holes drops, and the sideways spray slows down, and eventually stops.<\/p>\n

The really cool element, though, is that when the water flow stops completely, there’s still water in the cup above the level of the holes:<\/p>\n

\"i-0a4e2930a2a3ee170d114762573ef0f2-water_level.png\"<\/p>\n

I believe (and confidently assert in the video titles) that this is a surface tension effect. The water molecules at the surface of the water in the hole cling to one another tightly enough that the weight of the water above them (only a millimeter or so) can’t push water through the hole. So even though there’s a small hole the water could, in principle, escape through, it stays in the cup.<\/p>\n

(The other force that might be in play here is atmospheric pressure (which is what lets you pick water up in a straw by covering one end of the straw, and also allows this trick<\/a>), but I don’t think that applies to this problem, as the atmospheric pressure is the same on both sides of the hole.)<\/p>\n

As additional evidence for this theory, if I tilt the cup sideways so all the remaining water is over just two of the holes, the flow resumes. And stops again when there is only a millimeter or so of water above the holes (though it’s much harder to see that on the video).<\/p>\n

So, the next time you see a toddler staring fascinatedly at water draining out of something, you’ll no the reason why. It’s not just that babies will stare at anything– she’s learning physics!<\/p>\n","protected":false},"excerpt":{"rendered":"

SteelyKid’s every-so-often bath was last night, and as always, she was fascinated by scooping up water in a hexagonal cup thing that’s part of one of her bath toys, and watching it drain out. Which is completely understandable– not just because she’s a baby, but because there’s a bunch of physics at work, here. I… Continue reading Bath-Time Fluid Dynamics<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"1","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,7,11,3,136],"tags":[300,216,92,301,88,302,303,221],"class_list":["post-4695","post","type-post","status-publish","format-standard","hentry","category-education","category-physics","category-science","category-steelykid","category-video","tag-bath","tag-fluid","tag-physics-2","tag-pressure","tag-science-2","tag-surface-tension","tag-video-2","tag-water","entry"],"_links":{"self":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts\/4695","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/comments?post=4695"}],"version-history":[{"count":0,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts\/4695\/revisions"}],"wp:attachment":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/media?parent=4695"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/categories?post=4695"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/tags?post=4695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}