AP EAMCET · PHYSICS · Rotational Motion
If a wheel starting from rest is rotating with an angular acceleration of \(\pi \mathrm{rad} \mathrm{s}^{-2}\), then the number of rotations made by the wheel in the first 6 seconds time is
- A \(36\)
- B \(9\)
- C \(18\)
- D \(12\)
Answer & Solution
Correct Answer
(B) \(9\)
Step-by-step Solution
Detailed explanation
\( \theta = \frac{1}{2} \alpha t^2 = \frac{1}{2} (\pi \, \mathrm{rad} \, \mathrm{s}^{-2}) (6 \, \mathrm{s})^2 = 18\pi \, \mathrm{rad} \) \( \text{Rotations} = \frac{\theta}{2\pi} = \frac{18\pi \, \mathrm{rad}}{2\pi \, \mathrm{rad/rotation}} = 9 \)
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