Question #48598

A tube of length L is filled completely with an incompressible liquid of mass M and close at both the ends.The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity V. The force exerted by the liquid at the other end is?
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Expert's answer

2014-11-10T03:41:36-0500

Answer on Question 48598, Physics, Mechanics — Kinematics — Dynamics A tube of length L is filled completely with an incompressible liquid of mass M and close at both the ends.The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ν\nu. The force exerted by the liquid at the other end is?

Solution

Rotating causes centrifugal acceleration

a=ν2La=\nu^{2}L

Force exerted is equal to mass of liquid multiplied by this acceleration:

F=aM=ν2LMF=a\cdot M=\nu^{2}LM

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