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You can measure lots of things that have no dimensions. For example
the aspect ratio of a rectangle - height/width - has no dimensions.
Similarly for an angular measurement (arc length/radius)
But again that's calculated not measured.
Tim O'Donnell
Instructor of Physics and Chemistry
Celina High School
715 East Wayne Street
Celina, Ohio 45822
(419) 586-8300 Ext 1200 or 1201
odonnt@celina.k12.oh.us
"Chance only favors the prepared mind." - Louis Pasteur