0

Guest

Courses New

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 10335 Points
3 years ago
Dear student

The answer is option c

Regards
Vikas TU
14149 Points
3 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.

Think You Can Provide A Better Answer ?

Other Related Questions on Engineering Entrance Exams

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More