{"product_id":"terrell-rotation-plate-028-physics-poster","title":"Terrell Rotation – Plate 028 Physics Poster","description":"\u003cp\u003ePlate 28 speaks for itself: \u003cem\u003e“Contracted, but it looks turned.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eA fast object is Lorentz contracted, but a photograph does not show the squash. Light from the far side left earlier, so a small object seen side-on appears rotated instead.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003esin φ = β\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eφ: apparent rotation angle, °\u003c\/li\u003e\n\u003cli\u003eβ: v\/c, dimensionless\u003c\/li\u003e\n\u003cli\u003eγ: Lorentz factor 1\/√(1 − β²), dimensionless\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eβ = 0.9: γ ≈ 2.29, φ ≈ 64°. Terrell; Penrose, 1959.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e The simple rotation picture holds for small objects at small angular size.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eJ. Terrell, Phys. Rev. 116, 1041 (1959).\u003c\/li\u003e\n\u003cli\u003eR. Penrose, Proc. Camb. Phil. Soc. 55, 137 (1959).\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 028, “Terrell Rotation”: the pixel-art plate with its slogan “Contracted, but it looks turned.”, 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":50961872027751,"sku":"15624155578553665214","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961872060519,"sku":"11955584475824561595","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961872093287,"sku":"85908435914988018356","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961872126055,"sku":"98622043355331388886","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961872158823,"sku":"31871652049798672177","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961872191591,"sku":"12081434047985712395","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961872224359,"sku":"37646431554331192089","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961872257127,"sku":"21153700045186438241","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961872289895,"sku":"13975319196340748056","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/3304449455739133538_2048.jpg?v=1793633482","url":"https:\/\/pixelatedphysics.com\/es\/products\/terrell-rotation-plate-028-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}