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Digital Limit

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I'm looking for some help, so here is my predicament:

In my Physics class we did a lab in which we found two relationships involved with the velocity of an object in uniform circular motion. The relationships were that velocity squared is proportional to not only mass, but radius as well. From that we somehow manifest two equations A=V^2/R and F=MV^2/R; where A is centripetal acceleration, V is the velocity of the object, R is the radius, and F is centripetal force. This isn't a question on any of my assignments, but I'm looking to understand this better. As such, I was wondering if anyone could explain how these equations came about.

Thanks in advance for any help.

-Michael