Force on a sphere in flowing water and velocity of water

AI Thread Summary
The discussion revolves around calculating the forces acting on a sphere submerged in flowing water, specifically focusing on gravity and buoyancy. The user has derived the mass of the sphere based on fluid density and gravitational force but is uncertain about the next steps in their calculations. They question whether drag force is relevant given the sphere's minimal movement through the water, despite viscosity being provided in the problem. The conversation seeks clarification on the correct approach to analyze the forces and the impact of water flow on the sphere. Understanding these dynamics is crucial for accurately solving the problem.
come2ershad
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Homework Statement



The problem has been attached with this post.

Homework Equations



Equation given below.

The Attempt at a Solution



The forces on the sphere could be due to gravity and the buoyancy force.
((pi*d^3)/6)×ρ(water)×g=mg
From this I can find the mass of the sphere in terms of the density of fluid.
Then Fv = m (dv/dt). But, I am stuck here. How should I proceed? Is my approach correct?
 

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Also, though viscosity of water is given in the problem, i doubt if there would be any drag force on the sphere since the sphere doesn't seem to be moving significantly through the water. Please throw some light on this concept too.
 
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