Please help on this centripetal force lab

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ok so im sure you all know about the lab where u have to find relation between Fc frequency,radius,mass,velocity with stoppers and such. so my final discussion question states: It should be noted that in this investigation the radius of rotation is only an approximation,particulary at lower frequencies of rotation. As seem in the diagram , the radius R only approaches the length of the strings (L) when theta approaches 0. The actual value for R is given by R=Lcostheta. Does this fact undermines the results and conclusions made above. Explain?? the digram is a right angle triangle consisting of L and R

i dunno maybe you can help me plz try ur best



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