In non - uniform circular motion, the ratio of tangential to radial acceleration is $(\mathrm{r}=$ radius,…

In non - uniform circular motion, the ratio of tangential to radial acceleration is $(\mathrm{r}=$ radius, $\propto=$ angular acceleration, $\mathrm{V}=$ linear velocity)
  1. $\frac{r \propto}{V}$
  2. $\frac{\mathrm{V}^{2}}{\boldsymbol{r} \alpha}$
  3. $\frac{r^{2} \alpha}{V^{2}}$
  4. $\frac{r \propto^{2}}{\mathrm{~V}^{2}}$

Solution

Tangential acceleration $=a=\alpha r$ Radial acceleration $=\frac{\mathrm{V}^{2}}{\mathrm{r}}$ $\therefore(1) \div(2) \quad \frac{\alpha r \times r}{V^{2}}=\frac{\alpha r^{2}}{V^{2}}$

Asked in: MHT CET 2020 (16 Oct Shift 1)

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