Given that v is speed, r is radius and g is acceleration due to gravity. Which of following is dimen

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1.Units, Dimensions and Measurement

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Given that $v$ is speed, $r$ is the radius and $g$ is the acceleration due to gravity. Which of the following is dimensionless

A

${v^2}/rg$

B

${v^2}r/g$

C

${v^2}g/r$

D

${v^2}rg$

Solution

(a) Angle of banking : $\tan \theta = \frac{{{v^2}}}{{rg}}$.

i.e. $\frac{{{v^2}}}{{rg}}$is dimensionless.

Standard 11

Physics

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