Can any one help with this Fluid mechanics question please?

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SUMMARY

The discussion focuses on calculating the power required to overcome viscous resistance in a bearing for a shaft with a diameter of 74.9 mm rotating at 1400 rpm. The bearing has a diameter of 75.03 mm and a length of 75 mm, filled with oil of viscosity 0.096 kg/ms. The user successfully applies the equation F=μ(ωR/l)2∏RL to find the force of 143.12 N. The next step involves calculating the torque produced by this force to determine the power output.

PREREQUISITES
  • Understanding of fluid mechanics principles, specifically viscous flow.
  • Familiarity with the equation F=μ(ωR/l)2∏RL for calculating force in fluid systems.
  • Knowledge of rotational dynamics, including torque and power calculations.
  • Basic understanding of units and conversions in mechanical engineering.
NEXT STEPS
  • Calculate torque using the formula Torque = Force x Radius.
  • Learn about power calculations in rotational systems, specifically Power = Torque x Angular Velocity.
  • Explore the effects of viscosity on fluid flow in bearings.
  • Study the implications of bearing design on mechanical efficiency and performance.
USEFUL FOR

Mechanical engineers, students studying fluid mechanics, and professionals involved in bearing design and analysis will benefit from this discussion.

jami8337
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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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