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 ....

$2 comma 5 pi space r a d. s to the power of negative 1 end exponent$
$3 pi space r a d. s to the power of negative 1 end exponent$
$3 comma 2 pi space r a d. s to the power of negative 1 end exponent$
$3 comma 5 pi space r a d. s to the power of negative 1 end exponent$
$3 comma 8 pi space r a d. s to the power of negative 1 end exponent$

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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