Fluids Mechanics - Determine algebraic formula for velocity

AI Thread Summary
To determine the steady velocity U of a block sliding on an oil film, the shear stress τ is defined as μ du/dy, and the shear force F is calculated as τ*A. The discussion involves calculating kinetic energy for a conveyor moving at 2.5 feet per second with a total weight of 1750 lb, and the inertia of the conveyor is given as 122 lb.ft. Additionally, the motor's torque capability of 78 lb.ft allows it to reach full speed of 1725 rpm in a specific time frame. The focus is on deriving the algebraic formula for U based on these parameters.
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Homework Statement



A block of weight W is being pulled over a table by another weight Wo, as shown in the figure.
Find an algebraic formula for the steady velocity U of the block if it slides on an oil film of
thickness h and viscosity μ. The block bottom area A is in contact with the oil. Neglect the cord weight and the pulley friction.

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Homework Equations



the shear stress τ=μ du/dy
the shear force F=τ*A
 
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1) If conveyor moving with a linear speed of 2.5 feet per second has a total weight of 1750 lb, the conveyor holds approximately __________ lb.ft of kinetic energy.

2) A Motor has a conveyor as a load, which has a total inertia of 122 lb.ft*. if the motor has a maximum torque capability of 78 lb.ft, the motor can reach its full speed od 1725 rpm in approximately _________ seconds.
 

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