When a bucket containing water is rotated fast in a vertical
circle of radius R, the water in the bucket doesn't spill
provided
(a) the bucket is whirled with a maximum speed of √2gR
(b) the bucket is whirled around with a minimum speed of
√[(1/ 2)gR]
(c) the bucket is having a rpm of √900g /(π²R)
(d) the bucket is having a rpm of √3600g /(π²R)
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