Question

The linear and angular acceleration of a particle is $10m/{\sec }^2$ and $5rad/{\sec }^2$ respectively it will be at a distance ______ from the axis of rotation.

• A. $50m$
• B. $\frac{1}{2}m$
• C. $1m$
• D. $2m$

Answer 1

The correct option is D $2m$

Let the distance from the axis is $r$.

The linear acceleration is given as,

$a=r\alpha$

$10=r\times 5$

$r=2m$

Thus, the distance from the axis is $2m$.