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Perhatikan gambar berikut! Sebuah venturimeter ...

Perhatikan gambar berikut!

Sebuah venturimeter tanpa manometer menunjukkan selisih ketinggian permukaan fluida seperti gambar. Jika luas penampang pipa besar 5 begin mathsize 14px style cm squared end style dan luas penampang pipa kecil 3 begin mathsize 14px style cm squared end style, maka kecepatan aliran fluida pada penampang pipa besar adalah ...

Jawaban:

Diketahui:

begin mathsize 14px style h equals space 20 space cm equals 0 comma 2 space straight m A subscript 1 equals 5 space cm squared equals 5 cross times 10 to the power of negative 4 end exponent space straight m squared A subscript 2 equals 3 space cm squared equals 3 cross times 10 to the power of negative 4 end exponent space straight m squared end style

Ditanya: begin mathsize 14px style v subscript 1 end style 

Jawab:

begin mathsize 14px style v subscript 1 equals square root of fraction numerator 2 g h over denominator open parentheses begin display style A subscript 1 squared over A subscript 2 squared end style minus 1 close parentheses end fraction end root space space space space equals square root of fraction numerator 2 cross times 10 cross times 0 comma 2 over denominator open parentheses begin display style open parentheses 5 cross times 10 to the power of negative 4 end exponent close parentheses squared over open parentheses 3 cross times 10 to the power of negative 4 end exponent close parentheses squared end style minus 1 close parentheses end fraction end root space space space space equals square root of fraction numerator 4 over denominator open parentheses begin display style 25 over 9 minus 1 end style close parentheses end fraction end root space space space space equals square root of fraction numerator 4 over denominator open parentheses begin display style 25 over 9 minus 9 over 9 end style close parentheses end fraction end root space space space space equals square root of fraction numerator 4 over denominator open parentheses begin display style 16 over 9 end style close parentheses end fraction end root space space space space equals fraction numerator 2 over denominator open parentheses begin display style 4 over 3 end style close parentheses end fraction space space space space equals 2 cross times 3 over 4 space space space space equals 6 over 4 space space space space equals 3 over 2 space straight m divided by straight s end style 

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