Fluid Dynamics Help (Force with a dynamic viscosity)

[Colt 45 J]

Problem Statement
A 50cm by 30cm by 20cm block weighing 150N is to be moved at a constant velocity of .8 m/s on an inclined surface with a friction coefficient of 0.27. (a) Determine the force f that needs to be applied in the horizontal direction. (b) if a .4mm thick oil film with a dynamic viscosity of .012Pa*s is applied between the block and inclined surface, determine the percent reduction in the required force.

Given: P=150N V=.8m/s a=0, mu(v)=.012Pa*s mu(f)=.27

Find: F(a), F(b), %r

Diagram:
http://img18.imageshack.us/img18/7915/fluids275.png The attempt at a solution

I solved the F(a) to be 40.5N using statics equations (since there is no acceleration F=ma=0)

When using the equations presented in my text I get:
F=mu(v)*A*V/l
F=.012*(.5*.2)*.8/.0004
F=2.4
F(b)=2.4/cos(20*)
F(b)=2.554N

Thus the percentage would be a ~94% reduction in force, which sounds highly unrealistic and leads me to think I did something wrong...

Some Help?

Thanks, Colt 45 J

 

[nvn]

Colt 45 J: Your answer currently looks correct. The oil reduces the required force by a large amount. By the way, please note the following international standard for writing units. Secondly, please do not post wide images directly to the forum page. Just post a text link to wide images. Or crop the image.

1. Always leave a space between a numeric value and its following unit symbol. E.g., 50 cm, not 50cm.
   
   
2. Numbers less than 1 must always have a zero before the decimal point. E.g., 0.5, not .5. See the international standard for writing units[/color] (ISO 31-0[/color]).

 

[Colt 45 J]

I was considering, would I end up using the shear force (calculated using the force already found). The result from doing that is about a 37% reduction, which seems much more realistic.

(V=F/A)

For the future I'll be sure to crop and use the ISO standards.

 

[nvn]

Colt 45 J: I think the force already found (F = 2.40 N) is already the shear force. Therefore, you would not divide it by A.