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Question: Answered & Verified by Expert
In non - uniform circular motion, the ratio of tangential to radial acceleration is $(\mathrm{r}=$ radius, $\propto=$ angular acceleration, $\mathrm{V}=$ linear velocity)
PhysicsLaws of MotionMHT CETMHT CET 2020 (16 Oct Shift 1)
Options:
  • A $\frac{r \propto}{V}$
  • B $\frac{\mathrm{V}^{2}}{\boldsymbol{r} \alpha}$
  • C $\frac{r^{2} \alpha}{V^{2}}$
  • D $\frac{r \propto^{2}}{\mathrm{~V}^{2}}$
Solution:
2344 Upvotes Verified Answer
The correct answer is: $\frac{r^{2} \alpha}{V^{2}}$
Tangential acceleration $=a=\alpha r$
Radial acceleration $=\frac{\mathrm{V}^{2}}{\mathrm{r}}$
$\therefore(1) \div(2) \quad \frac{\alpha r \times r}{V^{2}}=\frac{\alpha r^{2}}{V^{2}}$

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