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 $