Fluids, finding the density of a sphere in oil Please help

AI Thread Summary
The discussion revolves around calculating the drag force and density of a small sphere falling in SAEIOW oil at 200 degrees. The drag force was calculated to be 225 N using the equation F = Cd/0.5 x rho x U^2 x A. However, there is uncertainty regarding the calculation of the sphere's density, as equating the drag force to the weight does not yield the correct density value. Participants express concerns about potential errors in the drag force equation. Accurate calculations are critical, especially since this is a significant part of the homework assignment.
abs123456
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Homework Statement



A small sphere (diameter = 10 mm) is left to fall in a fluid (oil, SAEIOW) at 200 degrees
with a constant velocity of 50 mm/s..

The Following data is available:
- For SAEIOW oil at 20 degrees: p = 920 kg/m3, μ = 0.1 Pa.s

a) The drag force on the sphere
b) The density of the sphere.



Homework Equations




Cd = 24/Re^0.645

The Attempt at a Solution



a) I managed to do the first part, by using Cs in the equation F= Cd/0.5 x rho x U^2 x A

And i got 225N..

b) However i am not too sure about doing part b... if i equate the drag force to the weight it gives me
the wrong answer for density.. This part is a 13 mark question too..
 
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I think you have an error in the drag force equation.
F = Cd * 0.5 * rho * A * U^2
 
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