Physics - SHM Question with Solution | TestHub

From the graph Time period of wave$T=8 \mathrm{s}$. and Amplitude$A=1 \mathrm{cm}$

$\omega =\frac{2\pi }{T}=\frac{\pi }{4}$$\mathrm{rad} {\mathrm{s}}^{-1}$
and$x=A\sin \omega t=\sin \left(\frac{\pi }{4}t\right)$

acceleration at any time$t$is
$a=-\omega {}^{2}x=-{\left(\frac{\pi }{4}\right)}^2\sin \left(\frac{\pi }{4}t\right)$

Substituting$t=\frac{4}{3}$$\mathrm{s}$, we get

$a= -\left(\frac{\sqrt{3}}{32}{\pi }^2\right)\mathrm{ c}\mathrm{m}{\mathrm{ s}}^{-2}$