JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A body rotating with an angular speed of \(600\, {rpm}\) is uniformly accelerated to \(1800 \,{rpm}\) in \(10\; sec\). The number of rotations made in the process is ..... .
- A \(100\)
- B \(500\)
- C \(300\)
- D \(200\)
Answer & Solution
Correct Answer
(D) \(200\)
Step-by-step Solution
Detailed explanation
\(\omega_{r}=\omega_{0}+\alpha t\) \(\alpha=\frac{1200}{10} \times 60 {rev} / {min}^{2}=1200 \times 6\) \(\theta=\omega_{0} t+\frac{1}{2} \alpha t^{2}\) \(=600 \times \frac{10}{60}+\frac{1}{2} \times 1200 \times 6 \times \frac{1}{36}\,({rev})\) \(\theta=200\)
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