{"product_id":"flagella-the-corkscrew-escape-physics-t-shirt","title":"Flagella – The Corkscrew Escape Physics T-Shirt","description":"\u003cp\u003eFlagella swims where water feels like honey, and she gets there with a corkscrew.\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eFor a bacterium, viscosity wins completely: the Reynolds number is about 10⁻⁵, against about 10⁴ for a human swimmer. Purcell's scallop theorem says that a stroke that looks the same run backwards gets you nowhere. A rotating helix breaks that symmetry, because turning a corkscrew is linked to pushing it.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eF = A v + B Ω,   N = B v + D Ω\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eF: thrust force (N)\u003c\/li\u003e\n\u003cli\u003eN: torque (N·m)\u003c\/li\u003e\n\u003cli\u003ev: swimming speed (m\/s)\u003c\/li\u003e\n\u003cli\u003eΩ: rotation rate (rad\/s)\u003c\/li\u003e\n\u003cli\u003eA, B, D: drag coefficients set by the helix shape and viscosity\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eE. M. Purcell set out the scallop theorem in 1977 (Am. J. Phys.); Berg and Anderson showed bacteria swim by rotating their flagellar bundles (Nature, 1973).\u003c\/p\u003e\u003ch3\u003eOn the shirt\u003c\/h3\u003e\u003cp\u003eFront: Flagella, the pixel-art character, with the title. Back: Purcell's propulsion matrix, the Reynolds numbers, the scallop theorem and the 1973 and 1977 sources. Printed on a unisex tee.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"S \/ White","offer_id":50936557076583,"sku":"17483134576232153323","price":29.99,"currency_code":"USD","in_stock":true},{"title":"S \/ Black","offer_id":50936557109351,"sku":"10614054595597030894","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ White","offer_id":50936557142119,"sku":"19653069858902035602","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ Black","offer_id":50936557174887,"sku":"21009306317419466683","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ White","offer_id":50936557207655,"sku":"27121389394823062475","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ Black","offer_id":50936557240423,"sku":"19780470425500105269","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ White","offer_id":50936557273191,"sku":"24659411617890517679","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ Black","offer_id":50936557305959,"sku":"23905884902898220753","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ White","offer_id":50936557338727,"sku":"20970045410181482947","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ Black","offer_id":50936557371495,"sku":"25541674195478456218","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ White","offer_id":50936557404263,"sku":"27335852868024598158","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ Black","offer_id":50936557437031,"sku":"86150494969051201488","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ White","offer_id":50936557469799,"sku":"19801942611478067793","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ Black","offer_id":50936557502567,"sku":"14838045885298239622","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ White","offer_id":50936557535335,"sku":"21677100390767489199","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ Black","offer_id":50936557568103,"sku":"28103629195197270963","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/scallop-theorem_front_16_white.png?v=1793595508","url":"https:\/\/pixelatedphysics.com\/it\/products\/flagella-the-corkscrew-escape-physics-t-shirt","provider":"Pixelated Physics","version":"1.0","type":"link"}