{"product_id":"faradays-ripples-plate-085-physics-poster","title":"Faraday's Ripples – Plate 085 Physics Poster","description":"\u003cp\u003ePlate 85 speaks for itself: \u003cem\u003e“Shake at f; it answers at f\/2.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eShake a liquid layer up and down and above a threshold standing waves appear on its surface, oscillating at half the drive frequency. The shaking modulates effective gravity, a parametric resonance.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ef_wave = f \/ 2\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ef_wave: surface-wave frequency, Hz\u003c\/li\u003e\n\u003cli\u003ef: drive frequency, Hz\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe waves oscillate at half the drive frequency. The mechanism: parametric resonance.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eM. Faraday, Phil. Trans. R. Soc. 121, 299 (1831).\u003c\/li\u003e\n\u003cli\u003eT. B. Benjamin, F. Ursell, Proc. R. Soc. A 225, 505 (1954).\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 085, “Faraday's Ripples”: the pixel-art plate with its slogan “Shake at f; it answers at f\/2.”, 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":50962691850343,"sku":"19967144661882974888","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50962691883111,"sku":"18270880353588157781","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50962691915879,"sku":"16776563843663232345","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50962691948647,"sku":"17216195888640095045","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50962691981415,"sku":"75898780762082443914","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50962692014183,"sku":"76697608731771594140","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50962692046951,"sku":"30703609810986700871","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50962692079719,"sku":"27378206934242940728","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50962692112487,"sku":"29370880606294222280","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/18150454610301671876_2048.jpg?v=1793636976","url":"https:\/\/pixelatedphysics.com\/es\/products\/faradays-ripples-plate-085-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}