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A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? (g = 10 m/s2)

A bucket containing water is tied to one end of a rope of length 2.5 m and rotated about the other end in a vertical circle. What should be the minimum velocity of the bucket at the highest point, so that the water in the bucket will not spill? (g = 10 m/s2)

Grade:12

1 Answers

Yug Soni
37 Points
6 years ago
See as the water should not spill out , the net forces towards the center should not be more than mv^2 / R or as given in the question we have to find the minimum one therefore ,mg = mv^2/R=> v = under root gR = under root (10 × 2.5) = 5m/s is the minimum velocity needed at the highest point to prevent water from spilling.

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