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Ayrıca hidrolik frenler ve hidrolik makineler gibi günlük hayattaki uygulamaları da anlatılmakta ve izleyicilere serum lastiği ve şırınga kullanarak basit bir hidrolik sistemi yapabilecekleri tavsiye edilmektedir."]},"endTime":447,"title":"Durgun Sıvıların Basıncı ve Pascal Prensibi Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Bileşik Kaplar ve Sıvı Seviyeleri","list":{"type":"unordered","items":["Bileşik kaplar, birbirine bağlı iki kap içeren sistemlerdir ve bu kaplarda sıvı seviyeleri her iki kolda da eşittir.","Sıvı seviyelerinin eşit olması, her iki kolda da uygulanan açık hava basıncının eşit olması nedeniyledir.","Çaydanlık, bileşik kapların günlük hayatta bir örneğidir; demlik ve ibrik kısımları arasında sıvı seviyeleri eşittir."]},"beginTime":2,"endTime":149,"href":"/video/preview/1730435747685823191?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=2&ask_summarization=1"},{"index":1,"title":"Pascal 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fazlası için: https://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1771199/6c1552b246e491e1c74a5a37d0bc5ada/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/1-x5GwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=videoid:5230046273925311477","teaser":[{"list":{"type":"unordered","items":["Bu video, matematik eğitimi formatında bir ders anlatımıdır. Eğitmen, önceki videoda binom açılımını kullanarak a+b'nin dördüncü kuvvetini hesapladığını hatırlatarak, bu videoda Pascal üçgeni kullanarak aynı işlemi nasıl yapabileceğimizi göstermektedir.","Video, Pascal üçgeninin nasıl oluşturulacağını adım adım anlatarak başlıyor ve ardından a+b'nin dördüncü kuvvetinin Pascal üçgeni ile nasıl hesaplanacağını gösteriyor. Eğitmen, katsayıların nasıl elde edildiğini ve hangi terime ait olduğunu açıklıyor. Son olarak, Pascal üçgeninin binom açılımıyla nasıl ilişkili olduğunu, ilk üç kuvvet için (a+b)², (a+b)³ ve (a+b)⁴ örnekleri üzerinden detaylı şekilde anlatıyor."]},"endTime":392,"title":"Pascal Üçgeni ile Binom Açılımı","beginTime":0}],"fullResult":[{"index":0,"title":"Binom Açılımı ve Pascal Üçgeni","list":{"type":"unordered","items":["Önceki videoda (a+b)⁴'nin binom açılımı gösterilmişti, ancak daha büyük kuvvetler için daha kullanışlı olurdu.","Bu videoda Pascal üçgeni kullanılarak (a+b)⁴'nin açılımı hesaplanacak ve iki yöntem arasındaki ilişki incelenecek.","Pascal üçgeninde her terime kaç farklı yoldan ulaşılabileceği hesaplanarak katsayılar elde edilecek."]},"beginTime":0,"endTime":46,"href":"/video/preview/5230046273925311477?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=0&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeninin Oluşturulması","list":{"type":"unordered","items":["Pascal üçgeni sıfırıncı kuvvetten başlayarak oluşturulur ve her satırdaki her terime kaç farklı yoldan ulaşılabileceği hesaplanır.","Sıfırıncı satırda sadece bir yol, birinci satırda iki yol, ikinci satırda üç yol, üçüncü satırda dört yol, dördüncü satırda beş yol ve beşinci satırda altı yol bulunur.","Bu sayılar binom katsayılarını oluşturur: 1, 4, 6, 4, 1."]},"beginTime":46,"endTime":196,"href":"/video/preview/5230046273925311477?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=46&ask_summarization=1"},{"index":2,"title":"Pascal Üçgeni ile Binom Açılımının Hesaplanması","list":{"type":"unordered","items":["Pascal üçgenindeki katsayılar kullanılarak (a+b)⁴'nin açılımı hesaplanır: a⁴ + 4a³b + 6ab² + 6ab + b⁴.","Pascal üçgeni, binom açılımında katsayıları ve terimleri doğru şekilde verir.","Pascal üçgeninin aynı sonucu vermesinin nedeni, her terimin elde edilme yollarının sayısından 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Öğretmen, interaktif bir şekilde öğrencilere sorular sorarak dersi ilerletmektedir.","Video, Pascal üçgeninin tanımı ve özellikleriyle başlayıp, binom açılımı konusunu detaylı şekilde ele almaktadır. İçerikte terim sayısı, katsayılar toplamı, sabit terim bulma, belirli terimlerin hesaplanması gibi konular örneklerle anlatılmaktadır. Ayrıca kombinasyonlar ve üslü ifadeler konusunda da soru çözümleri yapılmaktadır.","Videoda her konu teorik bilgilerle desteklenerek adım adım çözüm yöntemleri gösterilmekte, öğrencilerin konuyu daha iyi anlamaları için formüller ve kurallar hatırlatılmaktadır. Özellikle binom açılımında belirli terimlerin (baştan, sondan, ortadaki) bulunması ve kombinasyon formüllerinin kullanımı detaylı olarak açıklanmaktadır."]},"endTime":1511,"title":"Pascal Üçgeni ve Binom Açılımı Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni","list":{"type":"unordered","items":["Pascal üçgeni, üçgensel bir sayı dizisidir ve her satırdaki sayılar (x+y)^n ifadesinin açılımında bulunan terimlerin katsayılarını verir.","Pascal üçgeni bir ile başlar, her satır bir ile bir ile başlar ve bir alt satırı oluştururken bir ile başlanır, sonra iki sayı arasındaki sayının toplamı aralarına yazılır.","Pascal üçgeninde ardışık sayılar, üçgensel sayılar gibi farklı gizemleri barındıran sayılar bulunur."]},"beginTime":5,"endTime":79,"href":"/video/preview/15598005678283312049?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=5&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeni 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değildir."]},"beginTime":210,"endTime":410,"href":"/video/preview/16381705063657757187?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=210&ask_summarization=1"},{"index":3,"title":"Bileşik Kaplar","list":{"type":"unordered","items":["Bileşik kablo, şekil ve kalınlıkları aynı olan iki ya da daha fazla kabın tabanlarının birleştirilmesiyle elde edilir.","Bileşik kaplarda, aynı sıvı olduğu için basınçlar eşittir ve sıvılar dengelenir.","Farklı sıvılar varsa, basınç eşit olana kadar kollarda yükselmeye devam eder ve basınçlar aynı olabilir."]},"beginTime":410,"endTime":676,"href":"/video/preview/16381705063657757187?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=410&ask_summarization=1"},{"index":4,"title":"Pascal Prensibi ve Basınç İletimi","list":{"type":"unordered","items":["Sıvılara uygulanan kuvvet, basınç olarak kabın her yerine ve her noktasına eşit büyüklükte iletilir.","Sıvının tabanındaki basınç, uygulanan kuvvetin ve sıvının kendi ağırlığından kaynaklanan basınçın toplamıdır.","Pascal prensibi sayesinde, küçük bir kuvvetle çok ağır ve büyük yükler kaldırılabilir."]},"beginTime":681,"endTime":748,"href":"/video/preview/16381705063657757187?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=681&ask_summarization=1"},{"index":5,"title":"Pascal Prensibinin Uygulamaları","list":{"type":"unordered","items":["Bileşik kab (su cenderesi) örneğinde, farklı alanlarda uygulanan kuvvetler ve basınçlar arasındaki ilişki gösterilir.","Alan ne kadar artarsa, kuvvet de aynı oranda artmalıdır ki basınç sabit kalabilsin.","Pascal prensibi günlük hayatta araba frenleri, itfaiye araçları, lastik değiştirme cihazları ve koltuk ayarlamalarında kullanılır."]},"beginTime":748,"endTime":872,"href":"/video/preview/16381705063657757187?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=748&ask_summarization=1"}],"linkTemplate":"/video/preview/16381705063657757187?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"8.sınıf basınç sıvı basıncı bileşik kaplar pascal prensibi su cenderesi konu anlatımı soru çözümü","related_orig_text":"Pascal B","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Pascal 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videoda, 10. Sınıf fizik pascal prensibi, pascal prensibi konu anlatımı, pascal prensibi soru çözümleri, pascal prensibi ile çalışan araçlar, su cendereleri, günlük hayatta uygulama alanları...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3305419/fed56ff06021e987cebfd52b543aa24c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-jJ_IwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=videoid:11717213476817096362","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan fizik dersi formatında olup, Pascal prensibini ve uygulamalarını anlatmaktadır.","Video, Pascal prensibinin temel prensiplerini açıklayarak başlıyor ve sıvıların basıncı her yöne doğru iletme özelliğini vurguluyor. Eğitmen, prensibin formülünü detaylı şekilde açıklıyor ve günlük hayattaki uygulamalarını (arabadaki frenler, vinçler, dozerler, itfaiye merdivenleri, tulumbalar, hidrolik kaldıraçlar) örneklerle gösteriyor. Daha sonra teorik bilgilerin ardından çeşitli örnek sorular çözülerek konu pekiştiriliyor.","Videoda 20 kg'lık bir poşetin bir aracın ağırlığını nasıl etkilediği, pistonların kesit alanları arasındaki ilişki ve farklı kesit alanlarına sahip pistonların üzerindeki cisimlerin ağırlıkları arasındaki ilişki gibi sorular adım adım çözülmektedir."]},"endTime":941,"title":"Pascal Prensibi Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Prensibi ve Uygulamaları","list":{"type":"unordered","items":["Pascal prensibi, sıvıların üzerine yapılan basıncı her yön ve doğrultuda aynı büyüklükte değiştirmeden ve dik olarak iletmesinden kaynaklanır.","Bu prensip günlük hayatta hayatımızı kolaylaştıran uygulamalarda kullanılır; örneğin arabadaki fren sistemi, vinçler, dozerler gibi büyük araçların küçük kuvvetlerle kaldırılması.","Pascal prensibi sayesinde çok küçük kuvvetlerle çok büyük kuvvetler elde edilebilir veya cisimler yukarı doğru kaldırılabilir."]},"beginTime":10,"endTime":72,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=10&ask_summarization=1"},{"index":1,"title":"Pascal Prensibinin Matematiksel Temeli","list":{"type":"unordered","items":["Aynı seviyedeki sıvıların olduğu kısımda basınçlar eşittir.","Pascal prensibinin temel formülü: P₁/A₁ = P₂/A₂'dir, yani kuvvetin yüzey alanı bölümü ile ağırlığın yüzey alanı bölümü eşittir.","Bu formül, küçük bir kuvvetle büyük bir aracı kaldırabilmemizi sağlar."]},"beginTime":72,"endTime":194,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=72&ask_summarization=1"},{"index":2,"title":"Farklı Seviyelerde Pascal Prensibi","list":{"type":"unordered","items":["Sıvılar eşit değilse veya pistonların seviyeleri aynı değilse, aşağıdaki seviyede olan pistondan itibaren yatay bir çizgi çizilir.","Aynı seviyedeki basınçlar eşit olduğu için, bir seviyedeki kuvvet ve yüzey alanı diğer seviyeye taşınır.","Bir seviyenin üzerinde ne kadar yük varsa, bu yük ilave edilir."]},"beginTime":194,"endTime":402,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=194&ask_summarization=1"},{"index":3,"title":"Pascal Prensibinin Günlük Uygulamaları","list":{"type":"unordered","items":["Pascal prensibi günlük hayatta hayati önem taşıyan uygulamalarda kullanılır: arabadaki frenler, vinçler, dozerler.","İtfaiye merdivenleri, tulumbalar, hidrolik kaldıraçlar, balya, çöp sıkıştıran araçlar, damperli kamyonlar ve kuaförlerin koltukları da Pascal prensibinden yararlanır.","Pascal prensibi sayesinde sıvılar uyguladıkları kuvveti aynen iletirler."]},"beginTime":402,"endTime":446,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=402&ask_summarization=1"},{"index":4,"title":"Pascal Prensibi Örnekleri","list":{"type":"unordered","items":["Piston F kuvveti ile dengede olup K noktasındaki sıvı basıncı P = h × d × g'dir.","Piston F kuvveti ile 2h kadar yukarı itildiğinde, basınç artar ve F kuvveti azalır.","Hidrolik sistemde 200 Newtonluk kuvvet uygulandığında, aracın ağırlığı yaklaşık 20 kg'dır."]},"beginTime":446,"endTime":601,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=446&ask_summarization=1"},{"index":5,"title":"Pascal Prensibi ve Basınç Hesaplamaları","list":{"type":"unordered","items":["Pascal prensibine göre, aynı seviyedeki basınçlar eşittir ve F₁/A₁ = F₂/A₂ formülü kullanılır.","20 kg'lık bir poşet koyulduğunda, 0,5 A kesit alanına sahip piston 1000 Newton (yaklaşık 100 kg) yük kaldırmıştır.","Pascal prensibinde boruların incelik kalınlıklarından yararlanarak, sıvıların basıncı iletmesinden yararlanılarak sonuçlar bulunur."]},"beginTime":619,"endTime":711,"href":"/video/preview/11717213476817096362?parent-reqid=1773666761950098-1636074264986973846-balancer-l7leveler-kubr-yp-sas-210-BAL&text=Pascal+B&t=619&ask_summarization=1"},{"index":6,"title":"Pistonların Kesit Alanları Oranı","list":{"type":"unordered","items":["Kesit alanları Aₓ ve Aₐ olan, özdeş cisimler dengede tutulmuş pistonlarda basınçlar eşittir.","Pistonların kesit alanları oranı Aₓ/Aₐ = 1,5 olarak hesaplanmıştır.","Basınç prensibinden, 3G'lik bir ağırlık 6G'lik bir ağırlığı dengelemişse, basınçlar eşit 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