Question

In non-uniform circular motion, the ratio of tangential to radial acceleration is ( $r=$ radius of the circle, $u=$ speed of the particle, $\alpha =$ angular acceleration)

• A. $\frac{\alpha ^{2} r^{2}}{u}$
• B. $\frac{\alpha ^{2} r^{ \, }}{u^{2}}$
• C. $\frac{\alpha r^{2}}{u^{2}}$
• D. $\frac{u^{2}}{r^{2} \alpha }$

Answer 1

Answer: (C)

Tangential acceleration $= \alpha r$
Radial acceleration $= \frac{u^{2}}{r}$
Ratio $= \frac{\alpha r}{u^{2} / r} = \frac{\alpha r^{2}}{u^{2}}$