A shock-free coupling for a low-power mechanical drive is to be made from a pair of concentric cylinders. The annular space between the cylinders is to be filled with oil. The drive must transmit power, \(\mathscr{P}=10 \mathrm{~W}\). Other dimensions and properties are as shown. Neglect any bearing friction and end effects. Assume the minimum practical gap clearance \(\delta\) for the device is \(\delta=0.25 \mathrm{~mm}\). Dow manufactures silicone fluids with viscosities as high as \(10^{6}\) centipoise. Determine the viscosity that should be specified to satisfy the requirement for this device.

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R = 10 mm @ = 10,000 rpm L= 20 mm P = 10 W @2 9000 rpm (outer cylinder) 8 Gap clearance P2.60