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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. Rotating plate Torque 1 in. gap Fig. (1)

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. Rotating plate Torque 1 in. gap Fig. (1)

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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. Rotating plate Torque 1 in. gap Fig. (1)
Transcribed Image Text: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. Rotating plate Torque 1 in. gap Fig. (1)
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