Slide Aula 7a-ondas-2022 1

Aula 7a -Ondas • Batimentos • Efeito Doppler Sonoro BATIMENTOS Soma de ondas de frequência diferentes tempo T/2 Usando a expressão trigonométrica obtemos frequência mais lenta frequência mais rápida fd <latexit sha1_base64="F H/iS/VDTJlDjgher2Nevqt5y4A=">AB6nicbVBNS8NAE J3Ur1q/qh69LBbBU0mkoN6KXjxWtB/QhrLZbNqlm03YnQ il9Cd48aCIV3+RN/+N2zYHbX0w8Hhvhpl5QSqFQdf9dgp r6xubW8Xt0s7u3v5B+fCoZJM95kiUx0J6CGS6F4EwVK3 k1p3EgeTsY3c789hPXRiTqEcp92M6UCISjKVHqJ+2C 9X3Ko7B1klXk4qkKPRL3/1woRlMVfIJDWm67kp+hOqUTD Jp6VeZnhK2YgOeNdSRWNu/Mn81Ck5s0pIokTbUkjm6u+JC Y2NGceB7YwpDs2yNxP/87oZRlf+RKg0Q67YlGUSYIJmf 1NQqE5Qzm2hDIt7K2EDamDG06JRuCt/zyKmldVL1a9fq Vpw8plj+APn8wdBcI3N</latexit>+Vqnf5HEU4QRO4Rw8uIQ63EDmsBgAM/wCm+OdF6cd+dj0 ¯f <latexit sha1_base64="06USgID6jS2R+i72ugM c7y5wPQ=">AB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkUL0VvXisYD+gDWznbRLN5uwuxFK6I/w4kER r/4eb/4bt20O2vpg4PHeDPzgkRwbVz32ylsbG5t7xR3S3v7B4dH5eOTto5TxbDFYhGrbkA1Ci6xZbgR2E 0U0igQ2Akmd3O/84RK81g+mCfkRHkoecUWOlTj+gKgtng3LFrboLkHXi5aQCOZqD8ld/GLM0QmYoFr3P DcxfkaV4UzgrNRPNSaUTegIe5ZKGqH2s8W5M3JhlSEJY2VLGrJQf09kNJ6GgW2M6JmrFe9ufif10tNeO1 nXCapQcmWi8JUEBOT+e9kyBUyI6aWUKa4vZWwMVWUGZtQyYbgrb68TtpXVa9WvXmoVRq3eRxFOINzuAQP6 tCAe2hCxhM4Ble4c1JnBfn3flYthacfOYU/sD5/AGMfo+7</latexit> BATIMENTOS Soma de ondas de frequência diferentes BATIMENTOS Soma de ondas de frequência diferentes Periodo da envoltória = Td A onda resultante do batimento pode ser escrita como o produto de duas ondas: uma lenta ( a modulação ou a envoltória ) e uma rápida (a portadora) de frequência igual a frequência média das duas ondas Como a variação da intensidade tem o dobro da frequência da envoltória definimos a frequência de batimento como fb = |f1 − f2| <latexit sha1_base64="26yKBwXITAF5nEwyxCIvXOqcGw=">AB/HicbVDLSsNAFL2pr1pf0S7dDBbBjSU pBXUhFN24rGAf0IYwmU7aoZMHMxMhpPVX3LhQxK0f4s6/cdpmoa0H7uVwzr3MnePFnElWd9GYW19Y3OruF3a2d3bPzAPj9oySgShLRLxSHQ9LClnIW0pjtxoLiwO041vZ37nkQrJovBpTF1AjwMmc8IVlpyzbLveugaTZDv2 uhc9xqauGbFqlpzoFVi56QCOZqu+dUfRCQJaKgIx1L2bCtWToaFYoTamfSBpjMsZD2tM0xAGVTjY/fopOtTJAfiR0hQrN1d8bGQ6kTANPTwZYjeSyNxP/83qJ8i+djIVxomhIFg/5CUcqQrMk0IAJShRPNcFEMH0rIiMsMFE6r5I OwV7+8ip16p2vXp1X680bvI4inAMJ3AGNlxA+6gCS0gkMIzvMKb8WS8GO/Gx2K0YOQ7ZfgD4/MHXGSqw=</latexit> Efeito Doppler • O efeito Doppler no som é a mudança na frequência detectada numa onda sonora quando a fonte, o detector ou ambos estão em movimento em relação ao meio de propagação (por exemplo, o ar). • O efeito Doppler de uma onda eletromagnética é a mudança na frequência detectada quanto existe um velocidade relativa entre fonte de detector. Esta é a teoria por detrás dos radares. • O efeito Doppler da Luz é de notável importância em cosmologia. Georges Lamaitre e Edwin Hubble usando dados de efeito Doppler de Luz demostraram que objetos distantes apresentam desvios para o vermelho (redshift) crescentes com a distância não importa que direção do universo se olhe. De acordo com eles este fato indica que estes objetos estão todos se afastando da Terra, já que “desvio para o vermelho” é apenas uma forma de dizer que as frequências da luz observadas são mais baixas do que as esperadas, o que é compatível com a possibilidade do universo como um todo está expandindo e portanto deve ter iniciado a partir de um evento onde toda a massa estaria concentrada num ponto inicial. Esta é a teoria do Big Bang. Efeito Doppler Sonoro meio VF VD Importam as velocidades em relação ao meio da fonte e do detector EFEITO DOPPLER: FONTE EM REPOUSO EM RELAÇÃO AO AR <latexit sha1_base64="OjKTxTKcPlHJKnYOd01FXPjEiCg=">AB73 icbVBNS8NAFHypX7V+VT16WSyCp5KIoMeiF48VrCm0oWw2L+3SzSbsboQS+iO8eFAQr/4db/4bt20O2jqwMzMY9+bMBNcG9f9dipr6xubW9Xt2s7u3v 5B/fDoUae5YthqUhVN6QaBZfYMdwI7GYKaRIK9MPx7cz3n1BpnsoHM8kwSOhQ8pgzaqzk94WNRnRQb7hNdw6ySrySNKBEe1D/6kcpyxOUhgmqdc9zMx MUVBnOBE5r/VxjRtmYDrFnqaQJ6qCYrzslZ1aJSJwq+6Qhc/X3RETrSdJaJMJNSO97M3E/7xebuLroOAyw1KtvgozgUxKZndTiKukBkxsYQyxe2uhI 2oszYhmq2BG/5FXiXzS9y6bn3V82WjdlH1U4gVM4Bw+uoAV30IYOMBjDM7zCm5M5L86787GIVpxy5hj+wPn8AdUhj7Y=</latexit>λ <latexit sha1_base64="OjKTxTKcPlHJKnYOd01FXPjEiCg=">AB73 icbVBNS8NAFHypX7V+VT16WSyCp5KIoMeiF48VrCm0oWw2L+3SzSbsboQS+iO8eFAQr/4db/4bt20O2jqwMzMY9+bMBNcG9f9dipr6xubW9Xt2s7u3v 5B/fDoUae5YthqUhVN6QaBZfYMdwI7GYKaRIK9MPx7cz3n1BpnsoHM8kwSOhQ8pgzaqzk94WNRnRQb7hNdw6ySrySNKBEe1D/6kcpyxOUhgmqdc9zMx 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gh6LevBYwdpCG8Jms2mXbjZhd1Oob/EiwcF8eo/8ea/cZvmoK0PBh7vzezsvCDlTGnH+bYqa+sbm1vV7drO7t5+3T4fFRJgntkIQnshdgRTkTtKOZ5rSXSorjgNuML6Z+90JlYol4kFPU+rFeChYxAjWRvLt+qB4I5c0nKGJf+v bDafpFECrxC1JA0q0ftrECYki6nQhGOl+q6Tai/HUjPC6aw2yBRNMRnjIe0bKnBMlZcXS2fo1CghihJpSmhUqL8nchwrNY0D0xljPVL3lz8z+tnOrycibSTFNBFouijCOdoHkKGSEs2nhmAimfkrIiMsMdEmq5oJwV0+eZV0z5 vuRdN17y8aresyjyocwmcgQuX0I7aEMHCGTwDK/wZj1ZL9a79bForVjlzBH8gfX5A2bfk2E=</latexit>vD <latexit sha1_base64="ARZguoIJayTJ9TA2QoRKxPeR9q8=">AB/XicbVDLSsNAFJ3UV62vaJduBovgqiRS 0GXRjcsK1hbaECaTSTt0JhNmJoUQ4q+4caEgbv0Pd/6N0zQLbT1w4XDOvXPniBhVGnH+bZqG5tb2zv13cbe/sHhkX18qhEKjHpY8GEHAZIEUZj0tdUMzJMJE8YGQzG4X/mBOpKIiftBZQjyOJjGNKEbaSL7dHJdv5JKEBZz7uRK 8O2W03ZKwHXiVqQFKvR8+2scCpxyEmvMkFIj10m0lyOpKWakaIxTRKEZ2hCRobGiBPl5eXiAp4bJYSRkKZiDUv190SOuFIZD0wnR3qVr2F+J83SnV07eU0TlJNYrxcFKUMagEXScCQSoI1ywxBWFLzV4inSCKsTV4NE4K7evI6GV y23U7bde87re5NlUcdnIzcAFcAW64A70QB9gkIFn8ArerCfrxXq3PpatNauaYI/sD5/ACVSlYw=</latexit>vsom <latexit sha1_base64="OjKTxTKcPlHJKnYOd01FXPjEiCg=">AB73icbVBNS8NA FHypX7V+VT16WSyCp5KIoMeiF48VrCm0oWw2L+3SzSbsboQS+iO8eFAQr/4db/4bt20O2jqwMzMY9+bMBNcG9f9dipr6xubW9Xt2s7u3v5B/fDoUae5YthqUhVN6QaBZfYMd wI7GYKaRIK9MPx7cz3n1BpnsoHM8kwSOhQ8pgzaqzk94WNRnRQb7hNdw6ySrySNKBEe1D/6kcpyxOUhgmqdc9zMxMUVBnOBE5r/VxjRtmYDrFnqaQJ6qCYrzslZ1aJSJwq+6Qhc /X3RETrSdJaJMJNSO97M3E/7xebuLroOAyw1KtvgozgUxKZndTiKukBkxsYQyxe2uhI2oszYhmq2BG/5FXiXzS9y6bn3V82WjdlH1U4gVM4Bw+uoAV30IYOMBjDM7zCm5M5 L86787GIVpxy5hj+wPn8AdUhj7Y=</latexit>λ <latexit sha1_base64="q cs+KG3RDMvQq6bILW5uM1nPiC0=">ACKXicbZDLSgM xFIYz9VbrbdSlm2ARBaHMSE3YlEXLitYW+iUkzbWgu Q5IplmEex42v4kZEQd36IqaXhb+EPj5zjmcnD+MGdXG 8z6d3MLi0vJKfrWwtr6xueVu79xrmShMalgyqRoh0oRQ WqGkYasSKIh4zUw/7VqF4fEKWpFHdmGJMWR1BI4qRsa jtXkSH5zCIFMIpHLTgIfyIQ0MFUOoJc8yeDyLry3M0o DZHR2Utd2iV/LGgvPGn5oimKradl+DjsQJ8JghrRu+l5 sWilShmJGskKQaBIj3Ed0rRWIE50Kx0fmsEDSzowkso +YeCY/p5IEd6yEPbyZHp6dnaCP5XayYmOmulVMSJIQJP FkUJg0bCUWqwQxXBhg2tQVhR+1eIe8imZmy2BRuCP3vy 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observada é menor <latexit sha1_base64="8Y8R9JjYJlXK9T46PRhtLF0YUA=">AB+XicbVBNS8NAEJ3Ur1o/GvXoZbEInkoi gh6LevBYwdpCG8Jms2mXbjZhd1Oob/EiwcF8eo/8ea/cZvmoK0PBh7vzezsvCDlTGnH+bYqa+sbm1vV7drO7t5+3T4fFRJgntkIQnshdgRTkTtKOZ5rSXSorjgNuML6Z+90JlYol4kFPU+rFeChYxAjWRvLt+qB4I5c0nKGJf+v bDafpFECrxC1JA0q0ftrECYki6nQhGOl+q6Tai/HUjPC6aw2yBRNMRnjIe0bKnBMlZcXS2fo1CghihJpSmhUqL8nchwrNY0D0xljPVL3lz8z+tnOrycibSTFNBFouijCOdoHkKGSEs2nhmAimfkrIiMsMdEmq5oJwV0+eZV0z5 vuRdN17y8aresyjyocwmcgQuX0I7aEMHCGTwDK/wZj1ZL9a79bForVjlzBH8gfX5A2bfk2E=</latexit>vD <latexit sha1_base64="ARZguoIJayTJ9TA2QoRKxPeR9q8=">AB/XicbVDLSsNAFJ3UV62vaJduBovgqiRS 0GXRjcsK1hbaECaTSTt0JhNmJoUQ4q+4caEgbv0Pd/6N0zQLbT1w4XDOvXPniBhVGnH+bZqG5tb2zv13cbe/sHhkX18qhEKjHpY8GEHAZIEUZj0tdUMzJMJE8YGQzG4X/mBOpKIiftBZQjyOJjGNKEbaSL7dHJdv5JKEBZz7uRK 8O2W03ZKwHXiVqQFKvR8+2scCpxyEmvMkFIj10m0lyOpKWakaIxTRKEZ2hCRobGiBPl5eXiAp4bJYSRkKZiDUv190SOuFIZD0wnR3qVr2F+J83SnV07eU0TlJNYrxcFKUMagEXScCQSoI1ywxBWFLzV4inSCKsTV4NE4K7evI6GV 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sha1_base64="ZHNFm7aul4+awZu3cbU6m 4LJoVo=">ACnicbVDLSsNAFJ3UV62vqEs3g0VwVRIRdFl047KCtYWmhMl02g6dR5iZFEPI1o2/4saFgrj 1C9z5N07TLT1wIXDOfO3HuimFtPO/bqaysrq1vVDdrW9s7u3vu/sG9lonCpI0lk6obIU0YFaRtqGkGyu CeMRIJ5pcz/zOlChNpbgzaUz6HI0EHVKMjJVCFwbFG5kigxOwyzgkXzIAkNFCrXkeR6da/hFYDLxC9JHZR ohe5XMJA4UQYzJDWPd+LT9DylDMSF4LEk1ihCdoRHqWCsSJ7mfFjk8scoADqWyJQws1N8TGeJapzynRy ZsV70ZuJ/Xi8xw8t+RkWcGCLw/KNhwqCRcBYLHFBFsGpJQgraneFeIwUwsaGV7Mh+IsnL5POWcM/b/j+7Xm 9eVXmUQVH4BicAh9cgCa4AS3QBhg8gmfwCt6cJ+fFeXc+5q0Vp5w5BH/gfP4Al8ebWA=</latexit>vsom <latexit sha1_base64="Wtjzinx rlU4kzVpXGQRBeUYiwDI=">AB9HicbVBNS8NAEJ3Ur1q/qh69LBbBU0l E0ItQ1IPHCtYWmlA2027dLMJuxOhP4NLx4UxKs/xpv/xm2bg7Y+GHi8N 8PMvDCVwqDrfjuldW19Y3yZmVre2d3r7p/8GiSTDPeYolMdCekhkuheAs FSt5JNadxKHk7HN1M/fYT10Yk6gHKQ9iOlAiEoyilXz/lkukBMkVcXvVm lt3ZyDLxCtIDQo0e9Uv5+wLOYKmaTGdD03xSCnGgWTfFLxM8NTykZ0wLu WKhpzE+SzmyfkxCp9EiXalkIyU39P5DQ2ZhyHtjOmODSL3lT8z+tmGF0Gu VBphlyx+aIokwQTMg2A9IXmDOXYEsq0sLcSNqSaMrQxVWwI3uLy6R9Vvf 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4LJoVo=">ACnicbVDLSsNAFJ3UV62vqEs3g0VwVRIRdFl047KCtYWmhMl02g6dR5iZFEPI1o2/4saFgrj 1C9z5N07TLT1wIXDOfO3HuimFtPO/bqaysrq1vVDdrW9s7u3vu/sG9lonCpI0lk6obIU0YFaRtqGkGyu CeMRIJ5pcz/zOlChNpbgzaUz6HI0EHVKMjJVCFwbFG5kigxOwyzgkXzIAkNFCrXkeR6da/hFYDLxC9JHZR ohe5XMJA4UQYzJDWPd+LT9DylDMSF4LEk1ihCdoRHqWCsSJ7mfFjk8scoADqWyJQws1N8TGeJapzynRy ZsV70ZuJ/Xi8xw8t+RkWcGCLw/KNhwqCRcBYLHFBFsGpJQgraneFeIwUwsaGV7Mh+IsnL5POWcM/b/j+7Xm 9eVXmUQVH4BicAh9cgCa4AS3QBhg8gmfwCt6cJ+fFeXc+5q0Vp5w5BH/gfP4Al8ebWA=</latexit>vsom <latexit sha1_base64="OoHnUMTfKHKutCSpgX5+x yUTug=">ACHicbVDLSsNAFJ34rPUVdSnIYBFclUQKuiwK4rKCtYUmhMlk0g6dTMLMpBhCdm78FTcuFMS tn+DOv3GaZqGtBy4czrl35t7jJ4xKZVnfxtLyuraem2jvrm1vbNr7u3fyzgVmHRxzGLR95EkjHLSVQx0k8 EQZHPSM8fX0393oQISWN+p7KEuBEachpSjJSWPIKd/IBQkKOPFyJ/Ljh9xRlGfwuig8s2E1rRJwkdgVaYA KHc/8coIYpxHhCjMk5cC2EuXmSCiKGSnqTipJgvAYDclAU4iIt283KGAJ1oJYBgLXVzBUv09kaNIyizydWe E1EjOe1PxP2+QqvDCzSlPUkU4n0UpgyqGE5DgQEVBCuWaYKwoHpXiEdIKx0dHUdgj1/8iLpnTXtVtO2b1u 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9JVjn0Yhmp09+PMq7Ym0=">AB9XicbVA9SwNBEJ3zM8avqKXNYhCswl0 IaCMEtbCMkJhAcoS9zV6yZG/v3J0LhJDfYWOhILb+Fzv/jZvkCk18MPB4b 4aZeUEihUHX/XbW1jc2t7ZzO/ndvf2Dw8LR8aOJU814g8Uy1q2AGi6F4g0 UKHkr0ZxGgeTNYHg785sjro2IVR3HCfcj2lciFIyilfzOHZdICZJrUq53C 0W35M5BVomXkSJkqHULX51ezNKIK2SGtP23AT9CdUomOTfCc1PKFsSPu 8bamiETf+ZH70lJxbpUfCWNtSObq74kJjYwZR4HtjCgOzLI3E/z2imGV /5EqCRFrthiUZhKgjGZJUB6QnOGcmwJZVrYWwkbUE0Z2pzyNgRv+eV0iy XvErJ8x4qxepNlkcOTuEMLsCDS6jCPdSgAQye4Ble4c0ZOS/Ou/OxaF1zs pkT+APn8wd6aZES</latexit>∆t = 2T <latexit sha1_b ase64="O0RPvHRw/IJZ09PwLbtl4k 96bM0=">AB9XicbVA9SwNBEN2LX zF+RS1tFoNgFe40oI0Q1MIyQmICyR H2NnPJkr29c3cuEJ+h42Fgtj6X+z 8N26SKzT6YODx3gwz84JECoOu+Xk VlbX1jfym4Wt7Z3dveL+wYOJU82hw WMZ61bADEihoIECJbQSDSwKJDSD4c 3Mb45AGxGrOo4T8CPWVyIUnKGV/M4 tSGQU6RU9r3eLJbfszkH/Ei8jJZKh 1i1+dnoxTyNQyCUzpu25CfoTplFwC dNCJzWQMD5kfWhbqlgExp/Mj57SE6 v0aBhrWwrpXP05MWGRMeMosJ0Rw4F Z9mbif147xfDSnwiVpAiKLxaFqaQY 01kCtCc0cJRjSxjXwt5K+YBpxtHmV LAheMsv/yXNs7JXKXvefaVUvc7yJ MjckxOiUcuSJXckRpE4eyRN5Ia/ OyHl23pz3RWvOyWYOyS84H975ET </latexit>∆t = 3T <latexit sha1_base64="Ztha2fo3iGVJ75b/X8HaS3m094=">AB8X icbVBNSwMxFHzrZ61fVY9egkX0VDZS0GPRi8cK1lbapWSz2TY0yS5JVihLf4UXDwri1X/jzX9j2u5BWwcCw8w8t6EqeDG+v63t7K6tr6xWdoqb+/s7u 1XDg4fTJpylo0EYnuhMQwRVrW4F6SaERkK1g5HN1O/cS04Ym6t+OUBZIMFI85JdZJjz3hohFBZ/1K1a/5M6BlgtShQLNfuWrFyU0k0xZKogxXe ZFdEg0odZ1VHYl4MWTl0n7obrNYzv6tXGdFHCY7hBM4BwyU04Ba0AIKEp7hFd487b14797HPLriFTNH8Afe5w+QkZAR</latexit>ynNsiJtpwKNin3MsNSQkdkwLqOKiKZCfLZwhN06pQIxYl2T1k0U39P5EQaM5ahS0pih2bRm4r/ed3MxldBzlWaWabo/KM4E8gmaHo9irhm1IqxI4Rq7n λ0 <latexit sha1_base64="Ztha2fo3iGVJ75b/X8HaS3m094=">AB8X icbVBNSwMxFHzrZ61fVY9egkX0VDZS0GPRi8cK1lbapWSz2TY0yS5JVihLf4UXDwri1X/jzX9j2u5BWwcCw8w8t6EqeDG+v63t7K6tr6xWdoqb+/s7u 1XDg4fTJpylo0EYnuhMQwRVrW4F6SaERkK1g5HN1O/cS04Ym6t+OUBZIMFI85JdZJjz3hohFBZ/1K1a/5M6BlgtShQLNfuWrFyU0k0xZKogxXe 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4LJoVo=">ACnicbVDLSsNAFJ3UV62vqEs3g0VwVRIRdFl047KCtYWmhMl02g6dR5iZFEPI1o2/4saFgrj 1C9z5N07TLT1wIXDOfO3HuimFtPO/bqaysrq1vVDdrW9s7u3vu/sG9lonCpI0lk6obIU0YFaRtqGkGyu CeMRIJ5pcz/zOlChNpbgzaUz6HI0EHVKMjJVCFwbFG5kigxOwyzgkXzIAkNFCrXkeR6da/hFYDLxC9JHZR ohe5XMJA4UQYzJDWPd+LT9DylDMSF4LEk1ihCdoRHqWCsSJ7mfFjk8scoADqWyJQws1N8TGeJapzynRy ZsV70ZuJ/Xi8xw8t+RkWcGCLw/KNhwqCRcBYLHFBFsGpJQgraneFeIwUwsaGV7Mh+IsnL5POWcM/b/j+7Xm 9eVXmUQVH4BicAh9cgCa4AS3QBhg8gmfwCt6cJ+fFeXc+5q0Vp5w5BH/gfP4Al8ebWA=</latexit>vsom <latexit sha1_base64="OoHnUMTfKHKutCSpgX5+x yUTug=">ACHicbVDLSsNAFJ34rPUVdSnIYBFclUQKuiwK4rKCtYUmhMlk0g6dTMLMpBhCdm78FTcuFMS tn+DOv3GaZqGtBy4czrl35t7jJ4xKZVnfxtLyuraem2jvrm1vbNr7u3fyzgVmHRxzGLR95EkjHLSVQx0k8 EQZHPSM8fX0393oQISWN+p7KEuBEachpSjJSWPIKd/IBQkKOPFyJ/Ljh9xRlGfwuig8s2E1rRJwkdgVaYA KHc/8coIYpxHhCjMk5cC2EuXmSCiKGSnqTipJgvAYDclAU4iIt283KGAJ1oJYBgLXVzBUv09kaNIyizydWe E1EjOe1PxP2+QqvDCzSlPUkU4n0UpgyqGE5DgQEVBCuWaYKwoHpXiEdIKx0dHUdgj1/8iLpnTXtVtO2b1u 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/5EqCRFrthiUZhKgjGZJUB6QnOGcmwJZVrYWwkbUE0Z2pzyNgRv+eV0iy XvErJ8x4qxepNlkcOTuEMLsCDS6jCPdSgAQye4Ble4c0ZOS/Ou/OxaF1zs pkT+APn8wd6aZES</latexit>∆t = 2T <latexit sha1_b ase64="O0RPvHRw/IJZ09PwLbtl4k 96bM0=">AB9XicbVA9SwNBEN2LX zF+RS1tFoNgFe40oI0Q1MIyQmICyR H2NnPJkr29c3cuEJ+h42Fgtj6X+z 8N26SKzT6YODx3gwz84JECoOu+Xk VlbX1jfym4Wt7Z3dveL+wYOJU82hw WMZ61bADEihoIECJbQSDSwKJDSD4c 3Mb45AGxGrOo4T8CPWVyIUnKGV/M4 tSGQU6RU9r3eLJbfszkH/Ei8jJZKh 1i1+dnoxTyNQyCUzpu25CfoTplFwC dNCJzWQMD5kfWhbqlgExp/Mj57SE6 v0aBhrWwrpXP05MWGRMeMosJ0Rw4F Z9mbif147xfDSnwiVpAiKLxaFqaQY 01kCtCc0cJRjSxjXwt5K+YBpxtHmV LAheMsv/yXNs7JXKXvefaVUvc7yJ MjckxOiUcuSJXckRpE4eyRN5Ia/ OyHl23pz3RWvOyWYOyS84H975ET </latexit>∆t = 3T <latexit sha1_base64="Ztha2fo3iGVJ75b/X8HaS3m094=">AB8X icbVBNSwMxFHzrZ61fVY9egkX0VDZS0GPRi8cK1lbapWSz2TY0yS5JVihLf4UXDwri1X/jzX9j2u5BWwcCw8w8t6EqeDG+v63t7K6tr6xWdoqb+/s7u 1XDg4fTJpylo0EYnuhMQwRVrW4F6SaERkK1g5HN1O/cS04Ym6t+OUBZIMFI85JdZJjz3hohFBZ/1K1a/5M6BlgtShQLNfuWrFyU0k0xZKogxXe 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sha1_base64="uvqcJmor14V/04+jGH4KuzaK+I=">ACKHicbVDLSgMxFM34rPVdenmYhF1YZmRgm4URCXFawVOkPJpKmG5jEkGXEY ky6+o01HJRbURPnwzh5sO6UNHaXdkxaG6s+JHAtjMhG7pMD23kx6A/E/r5nazlGUM5mklkoyWtRJOVgFg9KgzTQlmeOYKZ+yuQe6wxsa7aoishmDz5L2kcVIJqJQiuquXTs3EfBbSJtAuCtAhOkWXqIbqiKAn9ILe0Yf37L16n15/FJ3yxjMb6Be8r2+uqaRm</latexit>+jdu/BU3grSrV9i+lho9UDgcM653NwTJ5wZ6/t9b2p6ZnZuvrBQXFxaXlktra3fGJVqQutEcaVvY2woZ5LWLbOc3iaYhFz2oi75wO/8UC1YUpe2yhkcB3knUYwdZJrdJyF24jWEH4Bh24aGVhyJWj3lomczAKNHrwf6kfOHEPbgGaJXKfsUfAv6SYEzKaIxaq/QWthVJBZWcGxM/ATG+VYW0Y47RXD1NAE λ0 = (vsom − vF)T EFEITO DOPPLER: FONTE EM MOVIMENTO SUBSÔNICO E OBSERVADOR EM REPOUSO (EM RELAÇÃO AO AR) <latexit sha1_base64="+i6qCqivMkX6G8hTMaYonOHoM0=">ACKHicbVDLSgMxFM34rPVdenmYhEVocxIQTeKIjLCtYKnaFk0lRD8xiSjDgM 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sha1_base64="yg9Ydk/ZaoEV0eGYtHDRAqEAhQ=">ACNnicbVBNSyNBFOzxM0bXjXr08jCIetgwswgKIgQF8eBwWyETAg9nY5p7I+h RhSm2MypRcEk7xfjzPGUsit6yRueaq4a+bDq/uw7pU2dIz1TyM1a8TOVXO9VTik4pi1417A/F/XiPDzm4zFzrNkGv2uaiTSUADgwqhLSxnKHueUGaF/yuwLrWUoS+6EuIxk/+Sep/K9F2JYrOtsvVg1EfBbJK1sgmicgOqZJjckpqhJFb8kCeyUtwFzwFr8HbZ3QiGM2skG8I3j8Ai+qp3A=</latexit>+40YhvwpL/4PT3rwoCBe/Ql2Yg4at6ChqKrH61dJKoXDMHwMJianpmdmC3PF+YVfi79LS8v/nMks4zVmpLEXCXVcCs1rKFDyi9RyqhLJ68nV4cCvX3PrhNHn2Et5U9FLTqCUfRSq3QSx9uU9gA2IdNuG7lsUrMTR6j0D1wRvX78GdcPvJizIyLscuRQrwHW3AO0CqVw0o4BPwk0YiUyQinrdJ93DYsU1wjk9S5 λ0 = (vsom − vF cos ✓ )T <latexit sha1_base64="RQt/54cKz0CYuCKD2m S9wQiln0=">AB7nicbVDLSgNBEJyNrxhfUY9eBoPgKeyKoMegF48RzAOSJcxOsmY2ZlplcIS/7Bi wcF8er3ePNvnCR70MSChqKqm+6uKJHCou9/e4W19Y3NreJ2aWd3b/+gfHjUtDo1HBpcS23aEbMghYIGC pTQTgywOJLQisa3M7/1BMYKrR5wkAYs6ESA8EZOqnZxREg65UrftWfg6SICcVkqPeK391+5qnMSjk lnbCfwEw4wZFzCtNRNLSMj9kQOo4qFoMNs/m1U3rmlD4daONKIZ2rvycyFls7iSPXGTMc2WVvJv7ndV 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movimento da fonte com o do observador temos o efeito Doppler pode ser determinado pela fórmula Onde são os ângulos entre a o sentido que o som está chegando no observador e as velocidades do observador e da fonte . <latexit sha1_base64="rl6HV2G Xz1i9oUfc4ZwACkVz8tw=">ACI3icbVDLSgMxFM3UV62vUZdugkVwIWV GCipuioq4rGBtoTOUTJq2oZnMkNwRyzDf4sZfceNCobhx4b+YPhba9sC9H M65l+SeIBZcg+N8W7ml5ZXVtfx6YWNza3vH3t171FGiKvRSESqERDNBJe sBhwEa8SKkTAQrB70r0d+/YkpzSP5AIOY+SHpSt7hlICRWvaFBz0GpJV6Y RA9px5wOcA3WYa9S3wyaov8W+Pjl10Ss4YeJ64U1JEU1Rb9tBrRzQJmQ qiNZN14nBT4kCTgXLCl6iWUxon3RZ01BJQqb9dHxiho+M0sadSJmSgMfq3 42UhFoPwsBMhgR6etYbiYu8ZgKdcz/lMk6ASTp5qJMIDBEe5YXbXDEKYmA IoYqbv2LaI4pQMKkWTAju7MnzpH5acsl170vFytX0zy6AdomPkojNUQ XeoimqIohf0hj7Qp/VqvVtD62symrOmO/voH6yfX1Ao+g=</latexit>✓D , ✓F <latexit sha1_base64="WUSzj5jNKxJN2x4pCFNn5EQ8=">ACGX icbVDLSsNAFJ3UV62vqEs3g0VwITWRgoKboiIuK1hbaEKYTCft0MkzEyKJeQz3PgrblwoiEtd+TdO2iy09cC9HM65l5l7/JhRqSzr2ygtLC4tr5RXK2 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✓D vsom − vF cos ✓F ◆ Por exemplo na situação abaixo observador fonte <latexit sha1_base64="F2waAm mYUdrVaiQV2NWa975An0=">AB/3icbVBNS8NAEN34WetXVDx5WSyCp5J IQcFLUQ8eK1hbaELYbDft0s1u2N0UQwj4V7x4UBCv/g1v/hu3bQ7a+mDg8 d4M/PChFGlHefbWlpeWV1br2xUN7e2d3btvf0HJVKJSRsLJmQ3RIowykl bU81IN5ExSEjnXB0PfE7YyIVFfxeZwnxYzTgNKIYaSMF9uE4yL04FI+5p ynP4E1RQO8ysGtO3ZkCLhK3JDVQohXYX15f4DQmXGOGlOq5TqL9HElNMSN F1UsVSRAeoQHpGcpRTJSfT8v4IlR+jAS0hTXcKr+nshRrFQWh6YzRnqo5 r2J+J/XS3V04eUJ6kmHM8WRSmDWsBJFrBPJcGaZYgLKm5FeIhkghrk1j VhODOv7xIOmd1t1F3btGrXlV5lEBR+AYnAIXnIMmuAUt0AY5OAZvI36 8l6sd6tj1nrklXOHIA/sD5/ALy0lcg=</latexit>vD <latexit sha1_base64="1zWgwn5hL3BIfqM4D8zSrDuX2Es=">AB/3icbVBNS8NAEN34WetXVDx5WSyCp5JIQcFLURCPFawtNCFstpt26WY37G6K IQT8K148KIhX/4Y3/43bNgdtfTDweG+GmXlhwqjSjvNtLS2vrK6tVzaqm1vbO7v23v6DEqnEpI0FE7IbIkUY5aStqWakm0iC4pCRTji6nvidMZGKCn6vs4T4MRpwGlGMtJEC+3Ac5F4cisfc05Rn8KYoHcZ2DWn7kwBF4lbkho0QrsL68vcBoTrjFDSvVcJ9F+jqSmJGi6qWKJAiP0ID0DOUoJsrPp+cX8MQo 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icbVDLSgMxFM3UV62vUZdugkVwVWZEUBChqKjLCtYWOmXIpJk2NJMZkjtiGfpJbvwU3SgoiFt/wvQBatsTAodziW5J0gE1+A4b1Zubn5hcSm/XFhZXV vfsDe37nScKsqNBaxqgdEM8ElqwIHweqJYiQKBKsF3fOBX7tnSvNY3kIvYc2ItCUPOSVgJN+8qDgPiZFwXxQ+YBlz180e/jU+wlHsnvwfjWdnLYd bx7aJTcobA08QdkyIao+Lbz14rpmnEJFBtG64TgLNjCjgVLB+wUs1SwjtkjZrGCpJxHQzGy7cx3tGaeEwVuZKwEP170RGIq17UWCSEYGOnvQG4iyvkU J43My4TFJgko4eClOBIcaD9nCLK0ZB9AwhVHzV0w7RBEKpuOCKcGdXHma1A5K7mHJdW8Oi+WzcR95tIN20T5y0REqo2tUQVE0SN6Qe/ow3qyXq1P62 sUzVnjmW30D9b3D+pHqKM=</latexit>✓D = ⇡ ✓F = 0 EFEITO DOPPLER: FONTE E OBSERVADOR EM MOVIMENTO SUBSÔNICO EM RELAÇÃO AO AR Considerando apenas a situação onde as velocidades de fonte e de observador são colineares (não fazem ângulo) existem quatro possíveis arranjos D F D F D F D F <latexit sha1_base64="RxYnUlPhc0siMFmv3P+1jP5Uvwc=">ACYHicjVFNSwMxFMyu37Vq1ZtegkWsB8uCHoREU8VrBW6JaSTbNtMB9L8rZY 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bn</latexit>vsom O mais agudo O mais grave <latexit sha1_base64="lUD9r1CuUBxO 6yQWZ/Ymp0pAEC0=">ACl3icjVFdSxtBFJ1dP2rjV9SXgi+DoTQ+GHaL0PpgES3BR wVjhGwIs5O7yeB8LDN3xbDsT+qf6Vv/TScxDzYp4oWBwzn3pk5J82lcBhFf4JwZXVt/ cPGx9rm1vbObn1v/96ZwnLocCONfUiZAyk0dFCghIfcAlOphG76eDXVu09gnTD6Dic5 9BUbaZEJztBTg/qv7Ms5zWgiIcMmTLeEmfBmWiUvNcJij0hDqjqoqeLNI/PZlw4xI cA7JljVbv3dR+Y9NU86oVozEeD+qNqBXNi6DeA4aZF43g/rvZGh4oUAjl8y5Xhzl2C +ZRcElVLWkcJAz/shG0PNQMwWuX85srehnzwxpZqw/GumMfT1RMuXcRKW+UzEcu0VtSv 5P6xWYfe+XQucFguYvF2WFpGjoNCM6FBY4yokHjFvh30r5mPlo0CdZ8ybEi19eBt2vr Cm/AsN+zEk=</latexit>fi0Fce3p42Ly7kfG+SQHJEmick3ckGuyQ3pEB4cBGfBZXAVfgp/hO3w+qU1DOYzB+Sf f 0 = f ✓vsom − vD cos ✓D vsom − vF cos ✓F ◆ EFEITO DOPPLER: BATIMENTO DEVIDO A REFLEXAO COM DOPPLER: O RADAR PARADO E OBJETO EM MOVIMENTO frequéncia emitida frequéncia percebida e pela fonte em repouso refletida pelo corpo em ; movimento emissor )) f )) f f' ) receptor li tl © frequéncia percebida pelo detector em repouso f’ _— f (f= + *) fl _— f’ ( Usom ) fl _— f (f= + “) Usom Usom — Vo Usom — Vo Combinando as duas formulas obtemos para o batimento // Usom + Vo 26 fo =|f" — fl=f || ——— }-1 fo = f | ——— Usom — Vo Usom — Vo EFEITO DOPPLER: BATIMENTO DEVIDO A REFLEXAO COM DOPPLER: O RADAR EM MOVIMENTO E OBJETO PARADO frequéncia emitida frequéncia percebida e pela fonte refletida pelo corpo em repouso emissor / vf vf f/ Vo receptor ( fl fl o frequéncia percebida ( pelo detector em movimento / Usom " / Usom + Vo " Usom + Vo fap(—te) pray (S28) pray (See Usom ~~ Vo Usom Usom ~~ Vo Combinando as duas formulas obtemos para o batimento 9 O Resultado é " Usom 1 Vo Vo igual se o radar fo = \|f -f\=s|(S2 2) 4] f= 1(—"—) Usom — Vo Vsom — Vo se move ou se 0 objeto se move