Viscosity,Fluid flow and terimal velocity

In summary, the conversation discusses the relationship between the buoyancy force and the drag force in a fluid. It is mentioned that the buoyancy force (FB) can be calculated using the density of the fluid (ρ), volume of the object (V), and gravitational acceleration (g), while the drag force (FD) is calculated using viscosity (η), radius (r), and velocity (v). The problem is not fully understood, as there is confusion about a solid object falling into water. More information is needed to solve the problem.
  • #1
ChunkymonkeyI
35
0

Homework Statement


When does Fb(Buoyancy force) equal the drag force(FD)?
and Fb+FD=Fg

Homework Equations


Fb=density of water times volume of water times 9.80 m/s^2
FD=6pi times viscosity times radius times v
Fg=mg

The Attempt at a Solution


All ik is the solid has 2 be in the air going to the water but idk how 2 really prove that please help me
 
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  • #2
This problem is really confusing. Do we have a ball falling in water? Not sure what is going on here.
 
  • #3
It is a sphere of radius r moving with speed v in a fluid of viscosity η. The drag force is FD=6πηrv.
The buoyant force is FB=ρVg, where ρ is the density of the liquid and V is the volume of the sphere.

ehild

PS: ChunkymonkeyI, what did you mean: "All ik is the solid has 2 be in the air going to the water but idk how 2 really prove that please help me" We use English here.
 
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FAQ: Viscosity,Fluid flow and terimal velocity

What is viscosity and why is it important in fluid flow?

Viscosity is a measure of a fluid's resistance to flow or deformation. It is important in fluid flow because it determines how easily a fluid can move, and can affect the rate of flow and the overall efficiency of a system.

How is viscosity measured?

Viscosity can be measured using a viscometer, which calculates the resistance of a fluid to flow by measuring the time it takes for a certain volume of fluid to pass through a specific opening. The unit of measurement for viscosity is typically expressed in poise or centipoise.

What factors affect the viscosity of a fluid?

The viscosity of a fluid can be affected by temperature, pressure, and the presence of impurities. In general, lower temperatures lead to higher viscosity, while higher temperatures result in lower viscosity. Additionally, increasing pressure can decrease viscosity, and impurities can also alter the viscosity of a fluid.

What is terminal velocity?

Terminal velocity is the maximum velocity that a falling object or fluid droplet can reach when the force of gravity is balanced by the resistance of the surrounding fluid. At this point, the object or droplet will no longer accelerate and will continue to fall at a constant velocity.

How is terminal velocity calculated?

The terminal velocity of an object can be calculated using the equation v = √(2mg/ρACd), where v is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, ρ is the density of the fluid, A is the projected area of the object, and Cd is the drag coefficient. The drag coefficient takes into account the shape and surface properties of the object, and can be experimentally determined.

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