Can any one help with this Fluid mechanics question please?

AI Thread Summary
To determine the power required to overcome viscous resistance in a bearing, a shaft with a diameter of 74.9mm rotating at 1400rpm is analyzed. The annular space between the shaft and a bearing of diameter 75.03mm is filled with oil of viscosity 0.096 kg/ms. The force calculated using the provided equation yields 143.12N. To find the power, the torque produced by this force at the given rotational speed must be calculated. The discussion concludes with the user successfully obtaining the correct answer for power.
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Homework Statement


A shaft of diameter 74.9mm rotates at 1400rpm in a bearing which is of diameter 75.03 mm and 75mm in length. The annular space between the shaft and the bearing is filled with oil of viscosity 0.096 kg/ms.By assuming a uniform velocity gradient in the oil, determine the power required to overcome the viscous resistance in the bearing.

Homework Equations


F=μ(ωR/l)2∏RL

Thats the equation i have been using, where l is the difference between the radius of the outer ring and inner ring (i.e. bearing and shaft)

The Attempt at a Solution



When i plug in the values i get:
0.096* ((146.61*37.45*10^-3)/0.065*10^-3)*2∏*(37.45*10^-3)(75*10^-3)

this gives 143.12N

Presuming that this is all ok i then have no idea how to get to a power?
thanks
 
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How much torque would this force produce on the shaft when it is turning at 1400 rpm? Once you know the torque, you can find the power.
 
Ah yeah thanks got the right answer :)
 

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