How Big Should the Wheel Be Compared to the Axle for Optimal Force Output?

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To achieve an output force of 8N-10N from an input force of 2N using a wheel and axle connected to a block and tackle, the wheel must be significantly larger than the axle. In a frictionless scenario, the wheel should be at least twice the size of the axle to achieve a 4x output force. However, due to friction in the metal pulleys, additional size may be necessary to compensate for energy loss. The presence of bearings indicates some friction, as the pulleys only complete 3-4 revolutions before stopping. Proper adjustments for friction will be crucial in determining the exact size ratio needed for the wheel and axle.
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I have to make a compound machine that has an input force of 2N and an output force of 8N-10N.

So far this is what I've got.
Its a wheel and axle connected to a block and tackle.

img130.imageshack.us/img130/4974/physicsbo6.png[/URL]

How much bigger will I have to make the wheel than the axle in order to get an output force at least 4x bigger?

If it was a frictionless environment the wheel would have to be 2x bigger than the axle or more right? How much should I compensate for friction? I am using metal pulleys I bought that have bearings(or w/e they are called) in them but they do seem to have some friction. I can only get them to make about 3-4 revolutions before they stop.
 
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Oops, can you please move this to the homework forum?
 

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