MHT CET · Physics · Motion In Two Dimensions
A particle performing uniform circular motion of radius \(\frac{\pi}{2} \mathrm{~m}\) makes x revolutions in time \(t\). Its tangential velocity is
- A \(\frac{x}{\pi t}\)
- B \(\frac{\pi^2}{\mathrm{xt}}\)
- C \(\frac{\pi^2 x}{t}\)
- D \(\frac{\pi x}{t}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi^2 x}{t}\)
Step-by-step Solution
Detailed explanation
\(\omega = \frac{2\pi x}{t}\) \(v = \omega r = \frac{2\pi x}{t} \cdot \frac{\pi}{2}\)
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