Question
A disc rotates about its axis with a constant angular acceleration of 4rad/s2. Find the radial and tangential accelerations of a particle at a distance of 1cm from the axis at the end of the first second after the disc starts rotating.
$\alpha=4\text{rad/s}^2$
Therefore $\omega=\alpha\text{t}=4\text{rad/s}$
Therefore radial acceleration,
$\text{A}_{\text{n}}=\omega^2\text{r}=0.16\text{m/s}^2=16\text{cm/s}^2$
Therefore tangential acceleration,
$\text{a}_{\text{r}}=0.04\text{m/s}^2=4\text{cm/s}^2.$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.