A pivot bearing used on the shaft of an electrical instrument is shown in Fig. P1.86. An oil with a viscosity of \(\mu=0.010 \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}^{2}\) fills the \(0.001-\) in. gap between the rotating shaft and the stationary base. Determine the frictional torque on the shaft when it rotates at \(5000 \mathrm{rpm}\).

Figure P1.86

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0.001 in. 5000 rpm 30 0.2 in. 0.010 lbs/ft