Question

The expressions for the tangential and centripetal acceleration in a circular motion are

• A. $r\alpha$ and ${\omega }^{2}r$
• B. ${\omega }^{2}r$ and $r\alpha$
• C. $\omega r$ and $r\alpha$
• D. $r\alpha$ and $\omega r$

Answer 1

The correct option is A $r\alpha$ and ${\omega }^{2}r$

$s_{tan}=r\theta$
$v_{tan}=r\omega$
$a_{tan}=r\alpha$
centripetal acceleration = $\frac{m{v}_{tan}^2}{r}$
since $v_{tan}=r\omega$
centripetal acceleration = $r{\omega }^2$