Question

The linear and angular acceleration of a particle are $10m/se{c}^2$ and $5rad/se{c}^2$ respectively, it will be at a distance of ___ m from the axis of rotation

• A. $50m$
• B. $1/2m$
• C. $1m$
• D. $2m$

Answer 1

The correct option is D $2m$

Given : $a_t=10m/s^2$ $\alpha =5rad/s^2$

Using $a_t=r\alpha$

Or $10=r\times 5$

$⟹r=2m$