Motion of an object submerged in water.

AI Thread Summary
The motion of a cylindrical object submerged in water can be described using Newton's second law, where the net force is the difference between the upward buoyancy force and the downward weight. The buoyancy force is defined by the equation B = [1020+0.25z]Volumexgravity, indicating that it varies with depth. In equilibrium, the forces are equal (Fup = Fdown), but for motion to occur, the net force must be considered, leading to the equation Fup - Fdown = ma. This approach clarifies that the object will move if the buoyancy force exceeds its weight. Understanding these dynamics is crucial for analyzing submerged objects' behavior.
aero&astro
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ignoring drag, how could you describe the motion of a cylindrical object in water, if the upwards buoyancy force is given by a certain equation? (B = [1020+0.25z]Volumexgravity)

I'm not sure if its just Fup = Fdown where Fdown is the weight and Fup is the buoyancy. However it can't be that or else the cylinder wouldn't have motion it would be stationary, wouldn't it?
 
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hi aero&astro! :smile:

(try using the X2 icon just above the Reply box :wink:)
aero&astro said:
I'm not sure if its just Fup = Fdown where Fdown is the weight and Fup is the buoyancy. However it can't be that or else the cylinder wouldn't have motion it would be stationary, wouldn't it?

no, Fup = Fdown would be the equilibrium equation

you need (as usual) good ol' Newton's second law …

Fup - Fdown = ma :wink:
 
why is it Fup - Fdown and not Fdown - Fup?
 
Because tiny-tim assumed a reference frame where "up" points to positive values, and "down" points to negative values.
 
Yup! :biggrin:
 
thanks a lot guys, this really helped.
 
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