A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by t

Question

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is $\frac{F}{α M}$ in SI unit. The value of $α$ is __________.

Answer:

1.00

Solution:

$F = m ω^{2} r_{cm} r_{cm} = \frac{1}{2} m ω = \frac{2 F}{m} m = 2 M ω = \frac{F}{M} α = 1$

TestHub · Accepted Answer

​ F = m ω 2 r cm ​ r cm ​ = 2 1 ​ m ω = m 2 F ​ ​ m = 2 M ω = M F ​ ​ α = 1 ​

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