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

Question

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 (A) both dimensionally and numerically correct (B) neither numerically nor dimensionally correct (C) dimensionally correct only (D) numerically correct only

Tardigrade Admin · Accepted Answer

Given equation is dimensionally correct because both sides are dimensionless but numerically wrong because the correct equation is tan θ=(v2/rg)

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

both dimensionally and numerically correct

neither numerically nor dimensionally correct

dimensionally correct only

numerically correct only

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

Q. From the equation tan θ=v2rg​ one can obtain the angle of banking θ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is