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The viscosity of a fluid is to be measured by a viscometer

Chapter 2, Problem 78P

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QUESTION:

Problem 78P

The viscosity of a fluid is to be measured by a viscometer constructed of two 75-cm-long concentric cylinders. The outer diameter of the inner cylinder is 15 cm, and the gap between the two cylinders is 1 mm. The inner cylinder is rotated at 300 rpm, and the torque is measured to be 0.8 . N ∙ m. Determine the viscosity of the fluid.

FIGURE P2-83

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QUESTION:

Problem 78P

The viscosity of a fluid is to be measured by a viscometer constructed of two 75-cm-long concentric cylinders. The outer diameter of the inner cylinder is 15 cm, and the gap between the two cylinders is 1 mm. The inner cylinder is rotated at 300 rpm, and the torque is measured to be 0.8 . N ∙ m. Determine the viscosity of the fluid.

FIGURE P2-83

ANSWER:

Solution 78P

The viscosity of a fluid is to be measured by a viscometer constructed of two 75-cm-long concentric cylinders. The outer diameter of the inner cylinder is 15 cm, and the gap between the two cylinders is 1 mm. The inner cylinder is rotated at 300 rpm, and the torque is measured to be 0.8  N.

Step 1 of 2

The torque measured is given by the expression

=      ()

Where, Torque measured , viscosity, = radius of the inner cylinder, number of revolutions per minute, = length of the cylinder , = thickness of the layer.

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