What is the volume of the wood immersed in the water-filled flask?

In summary, the problem involves a piece of wood with a density of 730 kg/m3 tied to the bottom of a water-filled flask. The wood is fully submerged and the tension in the string is 1.09 N. The task is to find the volume of the wood by understanding the relationship between the forces of gravity, buoyancy, and tension on the wood. It is suggested to draw a free body diagram and write a force balance equation to solve the problem.
  • #1
Callie
1
0
Moved from a technical forum, so homework template missing.
A piece of wood with a density of 730 kg/m3 is tied with a string to the bottom of a water-filled flask. The wood is completely immersed, and the tension in the string is 1.09 N. Find the volume of the wood.
 
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  • #2
My opinion:
Observe that the forces acting on the wood contain the gravity, the buoyancy and the tension. Try to find out their relation.
 
  • #3
Callie,

Have you drawn a free body diagram on the piece of wood showing the forces acting on it? Can you name these forces? Are you able to write a force balance equation on the piece of wood (based on the free body diagram)?

Chet
 

1. What is buoyant force?

Buoyant force is the upward force exerted by a fluid on an object that is immersed in it. This force is equal to the weight of the displaced fluid and is responsible for making objects float in a fluid.

2. How does the volume of an object affect the buoyant force?

The volume of an object directly affects the buoyant force. The larger the volume of an object, the greater the buoyant force it experiences. This is because a larger volume of fluid is displaced, resulting in a greater upward force.

3. What is the relationship between buoyant force and density?

The buoyant force is also affected by the density of the object and the density of the fluid it is immersed in. An object with a higher density than the fluid will sink, while an object with a lower density will float. The greater the difference in density between the object and the fluid, the greater the buoyant force.

4. How does the shape of an object affect the buoyant force?

The shape of an object also plays a role in the buoyant force it experiences. Objects with a greater surface area will experience a greater buoyant force, as there is more surface area for the fluid to push against. This is why flat objects, such as a raft, can float on water even though they may be more dense than the water.

5. Can the buoyant force change?

Yes, the buoyant force can change depending on the conditions. It can be affected by changes in the density of the fluid, changes in the shape or volume of the object, and changes in the depth of the object in the fluid. For example, an object will experience a greater buoyant force when it is fully immersed in a fluid compared to when it is only partially immersed.

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