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# A smaller circular rim 24 inches in diameter rotates the same number

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Re: A smaller circular rim 24 inches in diameter rotates the same number [#permalink]
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1 revolution of a circle = circumference of that circle.

1 revolution of a circle with the diameter of 24 inches = $$\pi{d}=24\pi$$ inches. Hence, r revolutions per second = $$24\pi{r}$$ inches per second

Given that $$24\pi{r}=36\pi{n}$$ --> $$n=\frac{24\pi{r}}{36\pi}=2r/3$$.

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Re: A smaller circular rim 24 inches in diameter rotates the same number [#permalink]
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Re: A smaller circular rim 24 inches in diameter rotates the same number [#permalink]
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