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A circular rim 28 inches in diameter rotates the same number

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A circular rim 28 inches in diameter rotates the same number [#permalink]

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New post 04 Oct 2011, 20:36
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A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the later rim make in terms of x?

A) \(\frac{48P}{x}\)
B) 75x
C) 48x
D) 24x
E) \(\frac{x}{75}\)


[Reveal] Spoiler:
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Rimrotation.jpeg
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[Reveal] Spoiler: OA
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Re: Rim rotation [#permalink]

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New post 04 Oct 2011, 21:19
Is it only me that I am not able to see the attachment ? Am i missing some privilege?
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Re: Rim rotation [#permalink]

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New post 04 Oct 2011, 22:33
kulki wrote:
Is it only me that I am not able to see the attachment ? Am i missing some privilege?

Please click on the attachment .it will be visible
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Re: Rim rotation [#permalink]

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New post 05 Oct 2011, 00:02
[(Rev/sec) x circumference] of 28 inches rim = [(Rev/sec) x circumference] of 35 inches rim
\(x\) x 28\(Pi\) = \(y\) x 35\(Pi\)
\(y\) = \(\frac{4}{5}x\)

But this is rev/sec. Converting to minutes we get
\(y\) = \(\frac{4}{5}x\) x 60
\(y\) = 48\(x\)
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Re: Rim rotation [#permalink]

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New post 05 Oct 2011, 09:15
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braxus wrote:
[(Rev/sec) x circumference] of 28 inches rim = [(Rev/sec) x circumference] of 35 inches rim
\(x\) x 28\(Pi\) = \(y\) x 35\(Pi\)
\(y\) = \(\frac{4}{5}x\)

But this is rev/sec. Converting to minutes we get
\(y\) = \(\frac{4}{5}x\) x 60
\(y\) = 48\(x\)

Missed the per minute thing....
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Re: A circular rim 28 inches in diameter rotates the same number [#permalink]

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New post 06 May 2016, 05:16
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Re: A circular rim 28 inches in diameter rotates the same number   [#permalink] 06 May 2016, 05:16
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