Question

If $ \alpha $ is angular acceleration, $ \omega $ is angular velocity and a is the centripetal acceleration then, which of the following is true?

• A. $ \alpha=\frac{\omega a}{v} $
• B. $ \alpha=\frac{v}{\omega a} $
• C. $ \alpha=\frac{av}{\omega} $
• D. $ \alpha=\frac{a}{\omega v} $

Answer 1

Answer: (A)

Centripetal acceleration.
$\because \,\, \alpha =\frac{\omega}{t} $
$\therefore \,\,\alpha =\frac{\omega v}{v t}$
$=\frac{\omega a}{v} $