{"product_id":"the-blast-radius-plate-007-physics-poster","title":"The Blast Radius – Plate 007 Physics Poster","description":"\u003cp\u003ePlate 7 speaks for itself: \u003cem\u003e“Energy, read from a photograph and a ruler.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eG. I. Taylor showed by similarity that a strong point blast grows as R ∝ t^(2\/5). Fitting the radius in timed photographs of the 1945 Trinity fireball gave the energy of the explosion.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eR = C (E t² \/ ρ)^(1\/5)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eR: shock radius, m\u003c\/li\u003e\n\u003cli\u003eC: dimensionless constant ≈ 1.03 for γ = 1.4\u003c\/li\u003e\n\u003cli\u003eE: released energy, J\u003c\/li\u003e\n\u003cli\u003et: time after detonation, s\u003c\/li\u003e\n\u003cli\u003eρ: ambient air density, kg m⁻³\u003c\/li\u003e\n\u003cli\u003eγ: ratio of specific heats, dimensionless\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eC ≈ 1.03 for γ = 1.4. Taylor estimated E ≈ 16 800 t TNT.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e Taylor's figure is an estimate from a similarity solution; it lies within the range of yields later published for Trinity.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eG. I. Taylor, Proc. R. Soc. A 201, 159 and 175 (1950).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 007, “The Blast Radius”: the pixel-art plate with its slogan “Energy, read from a photograph and a ruler.”, 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":50961493164135,"sku":"27720478746215509805","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961493196903,"sku":"62226780900868270469","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961493229671,"sku":"23070533195133427847","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961493262439,"sku":"10345287268745364281","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961493295207,"sku":"42950966826559557411","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961493327975,"sku":"14625091951119554203","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961493360743,"sku":"88632806139756195279","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961493393511,"sku":"32995168983114276686","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961493426279,"sku":"11398712366599960476","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/1064279104829838870_2048.jpg?v=1793632033","url":"https:\/\/pixelatedphysics.com\/id\/products\/the-blast-radius-plate-007-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}