MHT CET · Physics · Motion In Two Dimensions
A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is
- A 143
- B 272
- C 314
- D 722
Answer & Solution
Correct Answer
(C) 314
Step-by-step Solution
Detailed explanation
\(\omega^{2}=\omega_{0}^{2}-2 a \theta\)
\(0=4 \pi^{2} n^{2}-2 a \theta \)
\(\theta =\frac{4 \pi^{2}\left(\frac{1200}{60}\right)^{2}}{2 \times 4} \)
\(=200 \pi^{2} \mathrm{rad} \)
\(\therefore 2 \pi n =200 \pi^{2} \)
\( n =100 \pi=100 \times 3.14\)
\(=314\) revolution
\(0=4 \pi^{2} n^{2}-2 a \theta \)
\(\theta =\frac{4 \pi^{2}\left(\frac{1200}{60}\right)^{2}}{2 \times 4} \)
\(=200 \pi^{2} \mathrm{rad} \)
\(\therefore 2 \pi n =200 \pi^{2} \)
\( n =100 \pi=100 \times 3.14\)
\(=314\) revolution
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