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Eğitmen önce verilen bilgileri (F1 kuvveti, A1 yüzey alanı, D2 çapı) listeler, ardından A şıkkında basıncı (P) hesaplamak için Pascal prensibini kullanır ve son olarak B şıkkında büyük pistonun kaldırabileceği yükü (F2) bulmak için gerekli hesaplamaları yapar. Video, hidrolik krikolar, frame sistemleri ve iş makineleri gibi sistemlerde Pascal prensibinin nasıl uygulandığını gösteren bir örnek soru çözümü sunmaktadır."]},"endTime":691,"title":"Pascal Prensibi ve Hidrolik Kriko Soru Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Prensibi ve Hidrolik Kriko Örneği","list":{"type":"unordered","items":["Mustafa Karaca hidrolik eğitim setinde Pascal prensibi ile ilgili bir örnek sunuluyor.","Pascal prensibi, hidrolik krikolar, frame sistemleri ve iş makineleri gibi makinelerde referans alınarak tasarlanmaktadır.","Soruda, F1 kuvvetiyle 120 Newton'luk bir yük kaldırılan hidrolik kriko sisteminde, F2 kuvvetiyle büyük pistonun kaldırılabileceği yük hesaplanacaktır."]},"beginTime":1,"endTime":92,"href":"/video/preview/16173893354740786470?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1&ask_summarization=1"},{"index":1,"title":"Verilenler ve İlk Hesaplamalar","list":{"type":"unordered","items":["Soruda F1 kuvveti 120 Newton, A1 yüzey alanı 6 santimetre kare ve D2 çapı 20 santimetre olarak verilmiştir.","Pascal prensibine göre basınç (P) formülü P = F1/A1 kullanılarak hesaplanmıştır.","P1 basıncı 20 Newton/santimetre kare olarak bulunmuş, bu değer Pascal cinsine çevrildiğinde 2×10⁵ Pascal olarak hesaplanmıştır."]},"beginTime":92,"endTime":420,"href":"/video/preview/16173893354740786470?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=92&ask_summarization=1"},{"index":2,"title":"Büyük Pistonun Kaldırılabileceği Yük Hesaplaması","list":{"type":"unordered","items":["B şıkkında büyük pistonun kaldırılabileceği yük (F2) hesaplanacaktır.","A2 yüzey alanı π×D²/4 formülü kullanılarak yaklaşık 314 santimetre kare olarak hesaplanmıştır.","F2 kuvveti P2×A2 formülüyle hesaplanarak 6280 Newton olarak bulunmuştur."]},"beginTime":420,"endTime":689,"href":"/video/preview/16173893354740786470?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=420&ask_summarization=1"}],"linkTemplate":"/video/preview/16173893354740786470?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Pascal Prensibi Soru Çözümü 1","related_orig_text":"Pascal Tribel","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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Tonguç Akademi Sınıf Paketi'nde!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3755134/ffaeebc05910a252de2186763c61534d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vgCeSAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=videoid:6871097579801843868","teaser":[{"list":{"type":"unordered","items":["Bu video, Tonguç Akademi'de uzaktan eğitim formatında bir matematik öğretmeninin Pascal üçgeni ve kombinasyon konularını anlattığı bir eğitim içeriğidir. Öğretmen, öğrencilere hitap ederek interaktif bir şekilde dersi ilerletmektedir.","Videoda Pascal üçgeninin nasıl oluşturulduğu, kombinasyonla ilişkisi, Pascal özdeşliği ve binom açılımına giriş yapılmaktadır. Öğretmen, üçgenin eleman sayılarını, alt kümelerin toplamını ve kombinasyon hesaplamalarını örneklerle açıklamakta, özellikle dokuzuncu satırın eleman sayısı ve tüm elemanlarının toplamı gibi konulara değinmektedir.","Dersin sonunda, haftaya binom açılımı konusunun daha detaylı olarak işleneceği belirtilmektedir. Öğretmen, konuyu zor bulmayan öğrencilere hitap ederek konuyu kolay bir şekilde anlatmaya çalışmaktadır."]},"endTime":1760,"title":"Pascal Üçgeni ve Kombinasyon Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Tanıtımı","list":{"type":"unordered","items":["Tonguç Akademi'de uzaktan eğitim devam ediyor ve bugünkü konu Pascal üçgeni.","Dersde Pascal üçgeni, Pascal üçgeninin kombinasyonla ilişkisi, Pascal özdeşliği ve binom açılımına giriş yapılacak.","Ders kısa, net ve basit olacak, Pascal üçgeninin geçmişi hatırlatılacak ve geleceğine vurgu yapılacak."]},"beginTime":1,"endTime":55,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1&ask_summarization=1"},{"index":1,"title":"Öğrencilerle Tanışma","list":{"type":"unordered","items":["Eğitmen, öğrencilerle tanışıyor ve Brezilya'dan, Amerika'dan ve Türkiye'nin farklı şehirlerinden öğrencilerin katıldığını belirtiyor.","Eğitmen, Tonguç Akademi'nin öğrenciler için Ev Okul Kampı programını tanıtıyor.","Programda edebiyat, fizik, matematik, kimya, biyoloji gibi konular ve konu konu rehberlik bulunuyor."]},"beginTime":55,"endTime":184,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=55&ask_summarization=1"},{"index":2,"title":"Pascal Üçgeni Hakkında","list":{"type":"unordered","items":["Pascal üçgeni, (x+y) ifadesinin açılımının katsayılarını gösteren bir üçgen şeklindeki düzenlemeyi ifade eder.","Pascal üçgeninin satırlarındaki sayılar, (x+y) ifadesinin sıfırıncı kuvvetten başlayarak açılımlarının katsayılarıyla aynıdır.","Pascal üçgeni, binom açılımındaki katsayıları yazmayı kolaylaştırır ve açılımdaki katsayılardan oluşur."]},"beginTime":184,"endTime":307,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=184&ask_summarization=1"},{"index":3,"title":"Pascal Üçgeni ve Kombinasyon İlişkisi","list":{"type":"unordered","items":["Pascal üçgeni oluşturmak için bir yazıp, bir ile başlayıp, ikisini toplayarak devam edilir.","Pascal üçgeninde katsayılar ortalara yazılırsa Pascal üçgeni oluşur.","Pascal üçgeni ile kombinasyon arasında ilişki vardır; Pascal üçgenindeki sayılar kombinasyondan gelmektedir."]},"beginTime":309,"endTime":515,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=309&ask_summarization=1"},{"index":4,"title":"Pascal Üçgeninin Özellikleri","list":{"type":"unordered","items":["Pascal üçgeni, alt kümenin sıralanışına göre alt kümeleri gösterir.","Pascal üçgeninde bir satırdaki ardışık iki katsayının toplamı, alt satırdaki ortadaki sayıya eşittir.","Pascal özdeşliği, Pascal üçgenindeki bu özelliğin matematiksel ifadesidir."]},"beginTime":515,"endTime":806,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=515&ask_summarization=1"},{"index":5,"title":"Pascal Üçgeni Soruları","list":{"type":"unordered","items":["Pascal üçgenindeki sayılar, üst satırdaki ardışık sayıların toplamından elde edilir.","Pascal üçgeninin herhangi bir satırında bulunan terimlerin toplamı belirli bir formülle hesaplanabilir.","Pascal üçgeni konusu ve soruları oldukça kolaydır."]},"beginTime":806,"endTime":1011,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=806&ask_summarization=1"},{"index":6,"title":"Pascal Üçgeni Özellikleri","list":{"type":"unordered","items":["Pascal üçgeninde herhangi bir satırın terimlerinin toplamı 256'dır.","Birinci satır 1'den başlar, ikinci satır 1'lerden oluşur, üçüncü satır 2'lerin kombinasyonlarıdır ve üçüncü satırda 3 eleman vardır.","Pascal üçgeninde eleman sayısı 9 olan satır dokuzuncu satırdır ve bu satır 8'in kombinasyonlarından oluşur."]},"beginTime":1016,"endTime":1208,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1016&ask_summarization=1"},{"index":7,"title":"Pascal Üçgeninin Toplamı","list":{"type":"unordered","items":["Pascal üçgeninin tüm elemanlarının toplamı 256'dır.","2⁸ = 256 değerini unutmamak gerekir."]},"beginTime":1208,"endTime":1245,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1208&ask_summarization=1"},{"index":8,"title":"Pascal Üçgeni ve Kombinasyon","list":{"type":"unordered","items":["Konuşmacı, birinci ve ikinci elemanın sıfır ve bir ile başladığını, beşinci elemanın ise sekizin dörtlüsü olduğunu açıklıyor.","Pascal üçgenindeki sayıların açılımdaki katsayıları oluşturduğunu belirtiyor.","Pascal özdeşliğinin kombinasyondan geldiğini anlatıyor."]},"beginTime":1249,"endTime":1391,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1249&ask_summarization=1"},{"index":9,"title":"Binom Açılımı Giriş","list":{"type":"unordered","items":["Konuşmacı, binom açılımına haftaya yapılacak bir giriş yapacağını söylüyor.","Pascal üçgenindeki sayıların kombinasyon değerlerinden (n'in sıfırlısı, birisi, ikilisi vb.) geldiğini açıklıyor.","n. kuvvetin terim sayısının n+1 olduğunu ve terimlerin katsayılarının kombinasyon değerlerinden geldiğini belirtiyor."]},"beginTime":1391,"endTime":1603,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1391&ask_summarization=1"},{"index":10,"title":"Hafta Sonraki Ders","list":{"type":"unordered","items":["Konuşmacı, hafta sonraki dersin binom açılımı olduğunu ve mükemmel bir ders olacağını söylüyor.","Pascal üçgeninin açılımın göstergesi olduğunu ve kombinasyonla ilişkisini anlatıyor.","Pascal özdeşliğinin kombinasyondan geldiğini tekrar vurguluyor."]},"beginTime":1603,"endTime":1715,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1603&ask_summarization=1"},{"index":11,"title":"Video Kapanışı","list":{"type":"unordered","items":["Konuşmacı, Pascal üçgeninde altıncı sıradaki tam ortadaki elemanın ne olduğunu yorumlara beklediğini söylüyor.","İzleyicilerden like butonuna basmalarını ve haftaya görüşmek üzere veda ediyor."]},"beginTime":1715,"endTime":1740,"href":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=1715&ask_summarization=1"}],"linkTemplate":"/video/preview/6871097579801843868?parent-reqid=1769628820742016-14551648267500780124-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Pascal+Tribel&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Pascal Üçgeni | 10. 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