WBJEE · Physics · Motion In One Dimension
A particle is moving with a constant speed \(v\) in a circle. What is the magnitude of average velocity after half rotation?
- A \(2 v\)
- B \(2 \frac{v}{\pi}\)
- C \(\frac{v}{2}\)
- D \(\frac{v}{2 \pi}\)
Answer & Solution
Correct Answer
(B) \(2 \frac{v}{\pi}\)
Step-by-step Solution
Detailed explanation
Hints: \(\mathrm{T}=\frac{2 \pi \mathrm{r}}{\mathrm{V}} ; \mathrm{t}_{\mathrm{o}}=\frac{\mathrm{T}}{2}=\frac{\pi \mathrm{r}}{\mathrm{V}} ; \quad \mathrm{V}_{\mathrm{av}}=\frac{2 \mathrm{r}}{\frac{\pi \mathrm{r}}{\mathrm{v}}}=\frac{2 \mathrm{v}}{\pi}\)
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