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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) 2.5 m/s (b) 4 m/s (c) 5 m/s (d) 7 m/s

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) 2.5 m/s
(b) 4 m/s
(c) 5 m/s
(d) 7 m/s

Grade:Upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

The answer is option c

Regards
Vikas TU
14149 Points
one year 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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