{"product_id":"helmholtzs-bottle-plate-087-physics-poster","title":"Helmholtz's Bottle – Plate 087 Physics Poster","description":"\u003cp\u003ePlate 87 speaks for itself: \u003cem\u003e“A bottle hums one note.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eBlow across a bottle and the air in its neck bounces like a mass on the spring of the air inside. This one resonance sets the note.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ef = (c \/ 2π) √(A \/ (V L_eff))\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ef: resonant frequency, Hz\u003c\/li\u003e\n\u003cli\u003ec: speed of sound, m s⁻¹\u003c\/li\u003e\n\u003cli\u003eA: neck cross-section, m²\u003c\/li\u003e\n\u003cli\u003eV: cavity volume, m³\u003c\/li\u003e\n\u003cli\u003eL_eff: effective neck length, m\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe air in the neck moves like a mass on a spring. c = 343 m\/s.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eH. von Helmholtz, On the Sensations of Tone (1863).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 087, “Helmholtz's Bottle”: the pixel-art plate with its slogan “A bottle hums one note.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50962697748583,"sku":"23703713739211187293","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50962697781351,"sku":"16063527483455035139","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50962697814119,"sku":"12239098012318096879","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50962697846887,"sku":"17667727054480319561","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50962697879655,"sku":"10144568479034661754","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50962697912423,"sku":"28767528074426006808","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50962697945191,"sku":"29879589555126510395","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50962697977959,"sku":"31640420061678020690","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50962698010727,"sku":"20309407512817121502","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/2150265528424619881_2048.jpg?v=1793637086","url":"https:\/\/pixelatedphysics.com\/it\/products\/helmholtzs-bottle-plate-087-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}