TS EAMCET · Physics · Motion In Two Dimensions
A merry-go-round rotating at a constant angular speed completes 9 rotations in 18 seconds. What is its angular speed?
- A \(\pi / 2 \mathrm{rad} / \mathrm{s}\)
- B \(\pi \mathrm{rad} / \mathrm{s}\)
- C \(2 \pi \mathrm{rad} / \mathrm{s}\)
- D \(3 \pi \mathrm{rad} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(\pi \mathrm{rad} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & 1 \text { rotation }=2 \pi \\ & \text { Angular speed }=\frac{\text { Change in angular rotaion }}{\text { Change in time }} \\ & =\frac{9 \times 2 \pi}{18}=\pi \mathrm{rad} / \mathrm{s}\end{aligned}\)
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