In non-uniform circular motion, the ratio of tangential to radial acceleration is ( r = radius, α = angular acceleration and v = linear velocity) (a) (rα)/(v) (b) v²/ra (c) (rα²)/(v²) (d) (r²α)/(v²)

Answer: (d). at = rα, ar = v²/r. (at)/(ar) = (rα)/(v²/r) = (r²α)/(v²) So the answer is (d).

In non-uniform circular motion, the ratio of tangential to radial… | MHT CET 2020 (16 Oct, Shift 1)

Q18MHT CET 2020 · 16 OCT · SHIFT 1Easy

Non-Uniform Circular Motion

In non-uniform circular motion, the ratio of tangential to radial acceleration is ( $r =$ radius, $\alpha =$ angular acceleration and $v =$ linear velocity)

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Answer: (d)

$a_t = r\alpha$ , $a_r = \frac{v^2}{r}$ .
$\frac{a_t}{a_r} = \frac{r\alpha}{v^2/r} = \frac{r^2\alpha}{v^2}$
So the answer is (d).

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