Physics - SHM Question with Solution | TestHub

Given diameter $D=1\text{ m}$, the radius is $r=0.5\text{ m}$.

Frequency $f=4\text{ Hz}$.

Angular velocity $\omega =2\pi f=2\pi \times 4=8\pi \text{ rad/s}$.

For uniform circular motion, the acceleration is the centripetal acceleration given by $a={\omega }^{2}r$.

Substituting the values:

$a=(8\pi {)}^2\times 0.5$

$a=64{\pi }^2\times 0.5=32{\pi }^2{\text{ m/s}}^2$.

Answer: $32{\pi }^2$