
matematika industri
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7 questions
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1.
OPEN ENDED QUESTION
10 mins • 10 pts
Penerapan perhitungan aliran fluida:
Pada suatu industri pengolahan minyak kelapa, minyak kelapa dipompa didalam pipa dengan diameter 5 mm pada bilangan reynold 2100. Densitas minyak kelapa tersebut diasumsikan 800 kg/m3 serta viskositasnya 0.020 Pa.s. hitunglah berapa kecepatan aliran fluida tersebut didalam pipa?
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2.
OPEN ENDED QUESTION
10 mins • 10 pts
PT. X merupakan salahsatu produsen minyak atsiri di Indonesia sedang melakukan perancangan proses untuk peningkatan produksinya. Jika suatu essential oil (minyak atsiri) dengan asumsi densitas fluidanya 915 kg/m3 serta viskositasnya 0.015 Pa.s dengan kecepatan masa aliran 1 kg/detik. Maka hitunglah berapa ukruan pipa yang diperlukan?
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3.
OPEN ENDED QUESTION
10 mins • 12 pts
Berapa luas dibawah kurva y=3x2-10x+7, sumbu x, dan ordinat di x=1 dan x=3?
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4.
OPEN ENDED QUESTION
15 mins • 15 pts
Berapa volume yang terbentuk jika bentuk bidang yang dibatasi oleh kurva y=x2+8, sumbu x, dan ordinat -ordinat di x=1 dan x=3, diputar mengelilingi sumbu-y sampai satu putaran penuh.
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5.
OPEN ENDED QUESTION
15 mins • 15 pts
Berapa luas permukaan yang terbentuk jika busur darii parabola y2 = 4x diantara x=0 dan x=3 diputar mengelilingi sumbu x.
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6.
OPEN ENDED QUESTION
10 mins • 12 pts
Industri PT. XYZ yang bergerak dalam produksi susu cair. susu cair yang pada suhuh 27°C memiliki densitas 1030 kg/m3 dan viskocsitas 2.11 cp, dialirkan pada kecepatan alir 0.7 kg/detik didalam pipa dengan diameter 64 mm. hit unglah berapa reynold numbernya? Aliran fluida tersebut laminar/turbulen?
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7.
OPEN ENDED QUESTION
5 mins • 10 pts
Departement yang bertugas untuk mencegah terjadinya kebocoran pipa air yang mendistribukan air ke rumah masyarakat sedang meninjau tekanan sepanjang pipa air. Air mengalir sepanjang pipa horizontal, penampangnya tidak sama besar. Pada tempat dengan kecepatan air 20 meter/detik tekanannya 2 atm. Tentukan tekanan pada bagian pipa dimana kecepatan alirannya 60 meter/detik.
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