Find the centripetal force acting on a coin weighing $0.1 \mathrm{~kg}$ placed $0.1 \mathrm{~m}$ from the centre on a gramophone disc rotating at $600 \mathrm{rpm}$.

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Aicharya · Accepted Answer

Weight of coin, $m=0.1 \mathrm{~kg}$ $r=0.1 \mathrm{~m}$ Angular frequency, $f=600 \mathrm{rpm}=\frac{600}{60} \mathrm{rps}=10 \mathrm{rps}=10 \mathrm{~Hz}$ $\therefore$ Angular velocity, $\omega=2 \pi f=2 \pi \times 10=20 \pi \mathrm{rad} / \mathrm{s}$ $\therefore$ Centripetal force, $\begin{aligned} F & =m r \omega^2=0.1 \times 0.1 \times(20 \pi)^2 \ & =0.01 \times 400 \pi^2=4 \pi^2 \mathrm{~N} \end{aligned}$

Find the centripetal force acting on a coin weighing \(0.1 \mathrm{~kg}\) placed \(0.1 \mathrm{~m}\) from…

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