An open circular tank of 15 cm diameter and 100 cm long contains water up to a height of 80 cm find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills.
Answers
Answered by
1
Explanation:
Correct option is
B
2g
r
2
ω
2
Along the radius pressure is related with radius as according to following relation :
⇒
dR
dP
=ρω
2
r
⇒∫
A
B
dP=∫
o
r
ρω
2
r.dR
⇒P
B
−P
A
=
2
ρω
2
r
2
...(1)
Similarly,
⇒P
B
−P
C
=ρgh...(2)
From equation (1) and (2),
⇒P
C
−P
A
=
2
ρω
2
r
2
−ρgh
But we know that P
C
=P
A
=P
0
⇒h=
2g
ω
2
r
2
so the correct option will be B .
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