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Question: Answered & Verified by Expert
If $\alpha$ is angular acceleration, $\omega$ is angular velocity and $a$ is the centripetal acceleration then, which of the following is true?
PhysicsMotion In Two DimensionsMHT CETMHT CET 2010
Options:
  • A $\alpha=\frac{\omega a}{v}$
  • B $\alpha=\frac{v}{\omega a}$
  • C $\alpha=\frac{a v}{\omega}$
  • D $\alpha=\frac{a}{\omega v}$
Solution:
1408 Upvotes Verified Answer
The correct answer is: $\alpha=\frac{\omega a}{v}$
Centripetal acceleration,
$\because$
$$
\alpha=\frac{\omega}{t}
$$
$\therefore$
$$
\begin{aligned}
\alpha &=\frac{\omega v}{v t} \\
&=\frac{\omega a}{v}
\end{aligned}
$$

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