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Engineering and Tech / Fluid Mechanics 2 / Chapter 2 / Problem 74P

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

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The clutch system shown in Fig. P2-79 is used to transmit

Chapter 2, Problem 74P

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QUESTION:

The clutch system shown in Fig. P2-79 is used to transmit torque through a 2-mm-thick oil film with µ = 0.38 N ∙ s/m2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a speed of 1450 rpm, the driven shaft is observed to rotate at 1398 rpm. Assuming a linear velocity profile for the oil film, determine the transmitted torque.

FIGURE P2-79

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QUESTION:

The clutch system shown in Fig. P2-79 is used to transmit torque through a 2-mm-thick oil film with µ = 0.38 N ∙ s/m2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a speed of 1450 rpm, the driven shaft is observed to rotate at 1398 rpm. Assuming a linear velocity profile for the oil film, determine the transmitted torque.

FIGURE P2-79

ANSWER:

Step 1 of 3

In this question, we need to find the torque transmitted

Data given

Thickness of oil film $h=2\ mm=0.0002\ m\$

Viscosity $\mu{}=0.38\ N.{s}^{\ }/{m}^{2}$

Diameter of disk $d=30.cm\$

Radius $R=30\ cm/2=15\ cm=0.15\ m\$

Speed ${n}_{1}=1450\ rpm$

Speed ${n}_{2}=1398\ rpm\$

Considering the figure given

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