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 from the axis of rotation-

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

Answer 1

The correct option is D $2m$

$\begin{array}{c}\text{Giver, linear acceleration}\left(a\right)=10m/s^2\\ \text{and, angular acceleration}\left(\alpha \right)=5rad/s^2\text{.}\\ \text{we know,}a=\alpha \cdot d(d\text{is distance from axis}\\ \therefore d=\frac{a}{\alpha }=\frac{10}{5}m=2m\end{array}$