Question

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 $\theta$ is:

• A. Both dimensionally and numerically correct
• B. Neither numerically nor dimensionally correct
• C. Dimensionally correct only
• D. Numerically correct only

Answer 1

The correct option is C Dimensionally correct only

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