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Question: Answered & Verified by Expert
A bucket full of water tied with the help of a $2 \mathrm{~m}$ long string performs a vertical circular motion. The minimum angular velocity of the bucket at the uppermost point so that water will not fall will be:
PhysicsLaws of MotionJEE Main
Options:
  • A $2 \sqrt{5} \mathrm{rad} / \mathrm{s}$
  • B $\sqrt{5} \mathrm{rad} / \mathrm{s}$
  • C $5 \mathrm{rad} / \mathrm{s}$
  • D $10 \mathrm{rad} / \mathrm{s}$
Solution:
1773 Upvotes Verified Answer
The correct answer is: $\sqrt{5} \mathrm{rad} / \mathrm{s}$
as water should not fall
$w w^2 r=m g$
$\omega=\sqrt{\frac{8}{\gamma}}=\sqrt{\frac{10}{2}}=\sqrt{5}$

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