Kinematics Question 564

Question: A bucket full of water is revolved in vertical circle of radius 2m. What should be the maximum time-period of revolution so that the water doesn’t fall off the bucket [AFMC 2004]

Options:

A) 1 sec

B) 2 sec

C) 3 sec

D) 4 sec

Show Answer

Answer:

Correct Answer: C

Solution:

Minimum angular velocity $ {\omega _{\min }}=\sqrt{g/R} $

$ \therefore {T _{\max }}=\frac{2\pi }{{\omega _{\min }}}=2\pi \sqrt{\frac{R}{g}} $ =$ =2\pi \sqrt{\frac{2}{10}}=2\sqrt{2}\cong 3s $



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