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A previously discussed problem, but what the heck.

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A previously discussed problem, but what the heck.  [#permalink]  30 Sep 2003, 16:16
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A previously discussed problem, but what the heck.

Imagine two circles one of radius "r" and the other "2r" . Let the bigger circle be stationary and the smaller circle moves on the bigger circle with out " SLIP". In one complete revolution of the smaller circle on the larger one :

How many rotations does the smaller circle go through around its center in completing the revolution?

thanks
praetorian
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Re: PS : Circle [#permalink]  01 Oct 2003, 06:37
praetorian123 wrote:
A previously discussed problem, but what the heck.

Imagine two circles one of radius "r" and the other "2r" . Let the bigger circle be stationary and the smaller circle moves on the bigger circle with out " SLIP". In one complete revolution of the smaller circle on the larger one :

How many rotations does the smaller circle go through around its center in completing the revolution?

thanks
praetorian

To complete a rotation, the small circle will have to go around the length that equals it's circumference = 2 * pi * r

Number of rotations made by small circle = Length travelled / circumference of smaller circle = 2 * pi * (2r) / 2 * pi * r = 2

Right?
Re: PS : Circle   [#permalink] 01 Oct 2003, 06:37
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