AP EAMCET · PHYSICS · Motion In Two Dimensions
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 \(600 \mathrm{rpm}\).
- A \(4 \pi^2 \mathrm{~N}\)
- B \(40 \pi^2 \mathrm{~N}\)
- C \(\frac{\pi^2}{4} \mathrm{~N}\)
- D \(\frac{4}{\pi^2} \mathrm{~N}\)
Answer & Solution
Correct Answer
(A) \(4 \pi^2 \mathrm{~N}\)
Step-by-step Solution
Detailed explanation
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, \(\omega=2 \pi f=2 \pi \times 10=20 \pi \mathrm{rad} / \mathrm{s}\) \(\therefore\)…
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