Question

Given that $\mathcal { V }$ is speed, $r$ is the radius and $g$ is the acceleration due to gravity. Which of the following is dimensionless

• A. $v ^ { 2 } / r g$
• B. $v ^ { 2 } r / g$
• C. $v ^ { 2 } g / r$
• D. $v ^ { 2 } r g$

Answer 1

Answer: (A)

$v ^ { 2 } / r g$

Answer 2

Angle of banking : $\tan \theta = \frac { v ^ { 2 } } { r g }$ . i.e. $\frac { v ^ { 2 } } { r g }$ is

dimensionless.