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Hello! I am doing an experiment on rolling cylinders with both an inner diameter and outer diameter. I.E. they are not solid. I have to determine the time it takes for a cylinder to roll down an inclined slope. I need to do a dimensional analysis with Buckinghams PI-Theorem but I am stuck and need a little help.

Parameters: Width (

t=(d,D,w,m,l,v,g)

We define a lengthscale

Any thoughts on the next step?

Parameters: Width (

**w**) of cylinder, mass (**m**) of cylinder, inner diameter of cylinder (**d**), outer diameter (**D**), length of slope (**l**), angle of slope (**v**) and gravity (**g**).t=(d,D,w,m,l,v,g)

We define a lengthscale

**L**, massscale_{0}= d**M**and time scale_{0}=m**T**_{0}=(L_{0}/g)^{1/2}Any thoughts on the next step?

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