A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 1-in. gap between the two plates filled with glycerin as shown in Fig. (1). (1) Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is non-linear and that the shear stress on the edge of the rotating plate is negligible. Given: the dynamic viscosity of glycerin is 0.0313 lb.s/ft. (2) Find the shear force required to rotate the circular plate with the same velocity (2 rpm). (3) If the glycerin is replaced by air what are the values of torque and shear force. (4) What are the values of torque and shear force if we assume that the velocity distribution in the gap is linear.

A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 1-in. gap between the two plates filled with glycerin as shown in Fig. (1). (1) Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that the velocity distribution in the gap is non-linear and that the shear stress on the edge of the rotating plate is negligible. Given: the dynamic viscosity of glycerin is 0.0313 lb.s/ft. (2) Find the shear force required to rotate the circular plate with the same velocity (2 rpm). (3) If the glycerin is replaced by air what are the values of torque and shear force. (4) What are the values of torque and shear force if we assume that the velocity distribution in the gap is linear.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A 12-in.-diameter circular plate is placed over a fixed bottom plate with a 1-in. gap between
the two plates filled with glycerin as shown in Fig. (1).
(1) Determine the torque required to rotate the circular plate slowly at 2 rpm. Assume that
the velocity distribution in the gap is non-linear and that the shear stress on the edge of the
rotating plate is negligible. Given: the dynamic viscosity of glycerin is 0.0313 lb.s/fr.
(2) Find the shear force required to rotate the circular plate with the same velocity (2 rpm).
(3) If the glycerin is replaced by air what are the values of torque and shear force.
(4) What are the values of torque and shear force if we assume that the velocity distribution
in the gap is linear.
Rotating plate
Torque
1 in. gap
Fig. (1)

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