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Perhatikan hubungan roda-roda berikut ! Jari-ja...

Perhatikan hubungan roda-roda berikut !

Jari-jari roda R subscript A equals 25 space c m comma R subscript B equals 15 space c m comma R subscript C equals 40 space c m dan roda C berputar dengan kecepatan putar 60 putaran per menit. Kecepatan sudut roda A adalah ....

  1. 2 comma 5 pi space r a d. s to the power of negative 1 end exponent

  2. 3 pi space r a d. s to the power of negative 1 end exponent

  3. 3 comma 2 pi space r a d. s to the power of negative 1 end exponent

  4. 3 comma 5 pi space r a d. s to the power of negative 1 end exponent

  5. 3 comma 8 pi space r a d. s to the power of negative 1 end exponent

Jawaban:

straight R subscript straight A equals 25 space cm  straight R subscript straight B equals 15 space cm  straight R subscript straight C equals 40 space cm  straight omega subscript straight C equals 60 space rpm space equals space 2 straight pi space rad divided by straight s  straight omega subscript straight A equals ?

Roda C dan roda B setali, maka berlaku

straight v subscript straight B equals straight v subscript straight C  straight omega subscript straight B straight R subscript straight B equals straight omega subscript straight C straight R subscript straight C  straight omega subscript straight B left parenthesis 15 right parenthesis equals 2 straight pi left parenthesis 40 right parenthesis  straight omega subscript straight B equals 16 over 3 straight pi space rad divided by straight s

Roda B dan roda A berimpit, maka berlaku

straight v subscript straight B equals straight v subscript straight A  straight omega subscript straight B straight R subscript straight B equals straight omega subscript straight A straight R subscript straight A  16 over 3 straight pi left parenthesis 15 right parenthesis equals straight omega subscript straight A left parenthesis 25 right parenthesis  straight omega subscript straight A equals 3 comma 2 straight pi space rad divided by straight s

Maka kecepatan sudut roda A adalah 3 comma 2 straight pi space rad divided by straight s.

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