Solving Transfer of Torque with \mu = 0.38 Ns/m^2

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Homework Statement


The clutch system shown in Fig. P10-22 is used to transmit torque through a 3-mm-thick oil film with [tex]\mu = 0.38 N \bullet s/m^{2}[/tex] 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.

s4c45c.jpg


Homework Equations



[tex]T = \mu\left(\frac{4\pi^{2}R^{3}\dot{n}L}{l}\right)[/tex]

The Attempt at a Solution



[tex]\mu = 0.38 N \bullet s/m^{2}[/tex]
[tex]L = 30cm = 0.3m[/tex]
[tex]l = 3mm = 0.003m[/tex]

This is where I am stuck I am not sure what R is. I think I have to find T for the two rpms and find the difference between them for the transferred torque.
 
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Discussion

The units should tell you what R is. You have to get N-m out of this equation, so based on what you know (the given values) you can figure out what unit R will have and that will tell you what it's value should be.

Thanks
Matt