An open glass tube of uniform cross-section is bent into the shape of an L. One arm is immersed in a liquid of density p, and the other arm of length / remains in the air in a horizontal position. The tube is rotated with constant angular speed w about the axis of the vertical arm. Prove that the height y to which the liquid rises in the vertical arm is equal to Po(1 – eLM/2RT) y = where Po is atmospheric pressure, M is the molar mass of air, and g is the accelera- tion of gravity.

An open glass tube of uniform cross-section is bent into the shape of an L. One arm is immersed in a liquid of density p, and the other arm of length / remains in the air in a horizontal position. The tube is rotated with constant angular speed w about the axis of the vertical arm. Prove that the height y to which the liquid rises in the vertical arm is equal to Po(1 – eLM/2RT) y = where Po is atmospheric pressure, M is the molar mass of air, and g is the accelera- tion of gravity.

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Description: An open glass tube of uniform cross-section is bent into the shape of an L. One arm isimmersed in a liquid of density p, and the other arm of length / remains in the air in ahorizontal position. The tube is rotated with constant angular speed w abou

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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Question

An open glass tube of uniform cross-section is bent into the shape of an L. One arm is
immersed in a liquid of density p, and the other arm of length / remains in the air in a
horizontal position. The tube is rotated with constant angular speed w about the axis
of the vertical arm. Prove that the height y to which the liquid rises in the vertical arm
is equal to
Po(1 – eLM/2RT)
y =
where Po is atmospheric pressure, M is the molar mass of air, and g is the accelera-
tion of gravity.

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