Calculating Viscosity of Newtonian Fluid

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SUMMARY

The viscosity of a Newtonian fluid can be calculated using the formula Viscosity = (Force/Area)/(Velocity/Length). In this discussion, a shearing force of 100 dynes was applied to a rectangular plate with an area of 50 cm², resulting in a velocity of 11.2 cm/sec over a length of 0.5 cm. The initial calculation yielded a viscosity of 0.00893 Poise, which was later corrected to 0.893 Centipoise after addressing unit conversion errors. This viscosity value suggests that the fluid in question is likely water, which has a viscosity of approximately 1 Centipoise.

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Homework Statement



A shearing force of 100 dynes is applied to the side of a rectangular plate of 5 x 10 cm dimensions placed on top of a 0.5 mm high column of Newtonian fluid that is initially at rest. As a result of the shearing force, the plate moves at a speed of 11.2 cm/sec. What is the viscosity of this Newtonian fluid? (5 pts)
PS: Can you guess what this fluid is?



Homework Equations



Viscosity = (Force/Area)/(Velocity/Length)

The Attempt at a Solution



Force = 100 dynes
Area= 50 cm^2
Velocity= 11.2 cm/sec
Length= .05 cm

Viscosity = (100/50)/(11.2/.05)
=(2)/(224)
=.00893 Poise
=.0000983 CeniPoise


Can someone double check my work and see if I am on the right track? I am positive I have the right inputs and the right equation, but I have a feeling I am messing up on the units because the answer seems way too low. Thanks in advance!
 
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I think you moved your decimal place the wrong way when you converted to cP.
 
Yes, yes I did. So then the viscosity would be .893, so would that make the Newtonian fluid be water? Water is at 1 Centipose and that's the closest thing to my answer. Thanks for the look out Nick :smile:
 

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