In non-uniform circular motion, the ratio of tangential to radial acceleration is ( $r$ is radius of circle,…
In non-uniform circular motion, the ratio of tangential to radial acceleration is ( $r$ is radius of circle, $v$ is speed of the particle, $\alpha$ is angular acceleration)
$\frac{\alpha r^2}{v^2}$
$\frac{\alpha^2 r}{v^2}$
$\frac{\alpha^2 r^2}{v}$
$\frac{v^2}{r^2 \alpha}$
Solution
Ratio of tangential to radial acceleration is given by,
$\frac{a_t}{a_r}=\frac{r \alpha}{v^2 / r}=\frac{r^2 \alpha}{v^2}$