{"id":370782,"date":"2017-03-01T03:00:00","date_gmt":"2017-03-01T00:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=57ecc8e23c94ec9c8501a15c4d6e6c5b"},"modified":"2017-03-01T03:00:00","modified_gmt":"2017-03-01T00:00:00","slug":"damped-oscillations-of-a-frictionless-piston-in-an-adiabatic-cylinder-enclosing-an-ideal-gas-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=370782","title":{"rendered":"Damped oscillations of a frictionless piston in an adiabatic cylinder enclosing an ideal gas"},"content":{"rendered":"<p>Suppose that a piston of nonzero mass encloses an ideal gas in a vertical cylinder. The piston and<br \/>\ncylinder are thermally insulated so that no energy is lost by heat transfer to the surroundings. If<br \/>\nthe piston is set into motion, it oscillates like a block on a spring. However, the motion is damped<br \/>\nbecause the gas density and pressure immediately adjacent to the piston are higher or lower than the<br \/>\nbulk values, depending on whether the piston is compressing or expanding the gas, respectively. That<br \/>\nautomatically gives rise to a drag force linear in the velocity of the piston. It is not necessary<br \/>\nto add extra dissipative terms such as kinetic friction between the piston and cylinder, or<br \/>\nviscosity of the gas, to damp out the motion of the piston. The ideas should thus be helpful to<br \/>\nundergraduate students performing a R\u00fcchardt experiment to measure the ratio of the heat capacities<br \/>\nof a gas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Suppose that a piston of nonzero mass encloses an ideal gas in a vertical cylinder. The piston and<br \/>\ncylinder are thermally insulated so that no energy is lost by heat transfer to the surroundings. If<br \/>\nthe piston is set into motion, it oscillates like a&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-370782","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/370782","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=370782"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/370782\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=370782"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=370782"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=370782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}