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Gambar di samping menunjukkan hubungan roda-roda p...

Gambar di samping menunjukkan hubungan roda-roda pada sebuah sepeda. Jari-jari roda pertama (1) sebesar 12 cm, roda kedua (2) 6 cm dan roda ketiga (3) 40 cm. Jika pak Rahman mengayuh sepeda tersebut dengan 5 putaran tiap detik, kecepatan sepeda adalah.... 

  1. begin mathsize 14px style 2 straight pi space straight m over straight s end style 

  2. begin mathsize 14px style 4 straight pi space straight m over straight s end style 

  3. begin mathsize 14px style 6 straight pi space straight m over straight s end style 

  4. begin mathsize 14px style 8 straight pi space straight m over straight s end style 

  5. begin mathsize 14px style 10 straight pi space straight m over straight s space end style 

Jawaban:

Diketahui:
begin mathsize 14px style r subscript 1 equals 12 blank cm equals 0 , 12 blank straight m r subscript 2 equals 6 blank cm equals 0 , 06 blank straight m r subscript 3 equals 40 blank cm equals 0 , 4 blank straight m f subscript 1 equals 5 blank putaran blank per blank detik end style  

Ditanya:
begin mathsize 14px style v subscript 3 equals ? end style 

Jawab

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell omega subscript 1 end cell equals cell 2. pi. f subscript 1 end cell row cell omega subscript 1 end cell equals cell 2. pi.5 end cell row cell omega subscript 1 end cell equals cell 10 pi blank rad over straight s end cell row blank blank blank row cell v subscript 1 end cell equals cell omega subscript 1. r subscript 1 end cell row cell v subscript 1 end cell equals cell left parenthesis 10 pi right parenthesis. left parenthesis 0 , 12 right parenthesis end cell row cell v subscript 1 end cell equals cell 1 , 2 pi straight m over straight s end cell row cell v subscript 1 end cell equals cell v subscript 2 end cell row cell v subscript 2 end cell equals cell 1 , 2 pi blank straight m over straight s end cell row blank blank blank row cell omega subscript 2 end cell equals cell v subscript 2 over r subscript 2 end cell row cell omega subscript 2 end cell equals cell fraction numerator 1 , 2 pi over denominator 0 , 06 end fraction end cell row cell omega subscript 2 end cell equals cell 20 pi blank rad over straight s end cell row cell omega subscript 2 end cell equals cell omega subscript 3 end cell row cell omega subscript 3 end cell equals cell 20 pi blank rad over straight s end cell row blank blank blank row cell v subscript 3 end cell equals cell omega subscript 3. r subscript 3 end cell row cell v subscript 3 end cell equals cell left parenthesis 20 pi right parenthesis. left parenthesis 0 , 4 right parenthesis end cell row cell v subscript 3 end cell equals cell 8 blank pi straight m over straight s blank end cell end table end style 

Jadi, jawaban yang benar adalah D

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