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  4. From the equation tan θ=(rg/v2) one can obtain the angle of banking θ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is

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Q. From the equation tan $\theta=\frac{rg}{v^{2}}$ one can obtain the angle of banking $\theta$ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is

Physical World, Units and Measurements

Solution:

Given equation is dimensionally correct because both sides are dimensionless but numerically wrong because the correct equation is $\tan \,\theta=\frac{v^{2}}{rg}$