Problem E:

The clutch system shown in the figure below is used to transmit torque through a $2-mm$

thick oil film with $=0\mathrm{.}47N*\frac{s}{m^2}$ between two identical $30-cm$ diameter disks. When the

driving shaft rotates at a speed of $1200$ rpm $,$ the driven shaft is observed to rotate at $1125$

rpm$.$ Assuming a linear velocity profile for the oil film, determine the:

$($a$)$ Transmitted torque.

$($b$)$ Plot the change in torque when the oil thickness varies from $1$ mm to $20$ mm for the

disk diameter $D=30cm.$

$($c$)$ Plot the change in torque when diameter of the disks varies from $10$ cm to $100$ cm

when the thickness of oil film is fixed at $2$ mm $.$

$($d$)$ Comment on the last two findings.