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In a simple concentric shaft-bearing arrangement, the lubricant flows in the 2 mm gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is 100 mm and its tangential speed is 10 m/s. The dynamic viscosity of the lubricant is 0.1 kg/ms. The frictional resisting force (in Newton) per 100 mm length of the bearing is
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- 15.707
- 15.706
- 15.708
- 15.709
Correct Option: A
F = A × μ | = | |||
dr | (∆t) |
ut = tangential velocity
uw = velocity at bearing
F = π × 0.1 × 0.1 × | 2 × 10-3 |
F = 15.707 N.