Fluids Mechanics - Determine algebraic formula for velocity

In summary, the problem presents a situation where a block of weight W is being pulled by another weight Wo over a table. The block slides on an oil film of thickness h and viscosity μ, with an area A in contact with the oil. We are asked to find an algebraic formula for the steady velocity U of the block and to neglect the cord weight and pulley friction. The relevant equations for this problem are the shear stress τ=μ du/dy and the shear force F=τ*A. The second part of the conversation involves calculating the kinetic energy and speed of a conveyor with a total weight of 1750 lb and a linear speed of 2.5 feet per second, as well as determining the time it takes for
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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.
 

1. What is fluid mechanics?

Fluid mechanics is a branch of physics that deals with the study of fluids, specifically the behavior of liquids and gases when they are in motion or at rest.

2. How is velocity determined in fluid mechanics?

Velocity in fluid mechanics is determined by using the equation v = ∆x/∆t, where v is the velocity, ∆x is the change in position, and ∆t is the change in time. This equation is known as the average velocity formula.

3. What is an algebraic formula for velocity in fluid mechanics?

The algebraic formula for velocity in fluid mechanics is v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time interval. This formula is known as the constant acceleration formula.

4. How does viscosity affect fluid velocity?

Viscosity, which is the measure of a fluid's resistance to flow, affects fluid velocity by increasing the resistance and therefore decreasing the velocity. In other words, the higher the viscosity, the slower the fluid moves.

5. What is the difference between laminar and turbulent flow?

Laminar flow is a smooth and orderly flow of a fluid, while turbulent flow is a chaotic and unpredictable flow. Laminar flow occurs at lower velocities and is characterized by layers of fluid moving in a parallel direction, while turbulent flow occurs at higher velocities and is characterized by eddies and swirls in the fluid.

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