Bouyency and Water Discplacement of 2 Fluids

In summary, the conversation discusses the difference between the volume of fresh water and salt water displaced by a boat floating in fresh water. The solution is found using the equation F(bu) = m(of water displaced)g and the given densities of fresh water and salt water. The calculated difference is 0.354m^3, which is deemed correct by the participants of the conversation.
  • #1
vMaster0fPuppet
16
0

Homework Statement



A boat floating in fresh water displaces water weighing 37.3 kN. What is the difference between the volume of fresh water displaced and the volume of salt water displaced (Vfresh - Vsalt)?

F(bu) = 37.3E3 kg/m^3
(rho)fresh water = .998E3 kg/m^3?
(rho)salt water = 1.10E3 kg/m^3?


Homework Equations



F(bu) = m(of water displaced)g
m(of water displaced) = (rho)V


The Attempt at a Solution



F(bu) = (rho)Vg
V = F(bu)/[(rho)g]
V(f) - V(s) = [F(bu)/(rho)][1/(rhof)-1/(rhos)]
V(f) - V(s) = [37.3E3/9.8][1/(.998E3) - 1/(1.10E3)] = .354m^3

This is wrong?
 
Physics news on Phys.org
  • #2
vMaster0fPuppet said:

Homework Statement



A boat floating in fresh water displaces water weighing 37.3 kN. What is the difference between the volume of fresh water displaced and the volume of salt water displaced (Vfresh - Vsalt)?

F(bu) = 37.3E3 kg/m^3
(rho)fresh water = .998E3 kg/m^3?
(rho)salt water = 1.10E3 kg/m^3?


Homework Equations



F(bu) = m(of water displaced)g
m(of water displaced) = (rho)V


The Attempt at a Solution



F(bu) = (rho)Vg
V = F(bu)/[(rho)g]
V(f) - V(s) = [F(bu)/(rho)][1/(rhof)-1/(rhos)]
V(f) - V(s) = [37.3E3/9.8][1/(.998E3) - 1/(1.10E3)] = .354m^3

This is wrong?

Looks correct to me.

CS
 
  • #3
me too
 

Related to Bouyency and Water Discplacement of 2 Fluids

1. What is buoyancy and why is it important?

Buoyancy is the upward force exerted on an object submerged in a fluid. It is important because it explains why objects float or sink in a fluid and plays a crucial role in many scientific and engineering applications, such as shipbuilding and designing submarines.

2. How is the buoyant force calculated?

The buoyant force is calculated by multiplying the density of the fluid, the volume of the displaced fluid, and the acceleration due to gravity. This can be represented by the equation Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the displaced fluid, and g is the acceleration due to gravity.

3. How does the shape and size of an object affect its buoyancy?

The shape and size of an object do not affect its buoyancy, as long as its volume and density remain the same. This is because the buoyant force only depends on the volume of the displaced fluid, not the shape or size of the object. However, the shape and size can affect the object's stability and how it behaves in the fluid.

4. Can two fluids with the same density have different buoyant forces?

Yes, two fluids with the same density can have different buoyant forces if they are at different pressures. This is because the buoyant force also depends on the pressure of the fluid, in addition to its density and volume. Therefore, if two fluids with the same density are at different pressures, their buoyant forces will be different.

5. How does water displacement work and why is it important in determining an object's buoyancy?

Water displacement is the process of measuring the volume of a submerged object by the amount of water it displaces. This is important in determining an object's buoyancy because the buoyant force is directly proportional to the volume of the displaced fluid. Therefore, by measuring the amount of water displaced, we can calculate the buoyant force and determine whether the object will float or sink in the fluid.

Similar threads

Viscosity in lubricating fluid in the bench-guide of a machine
    • Introductory Physics Homework Help
Replies
16
Views
846
How much of the wooden timber was submerged in water?
    • Introductory Physics Homework Help
Replies
2
Views
771
Physics puzzle about the concentration of fog droplets in the air
    • Introductory Physics Homework Help
Replies
26
Views
878
Is Exponential Form Better for Balloon with Inserted Load Calculation?
    • Introductory Physics Homework Help
5
Replies
170
Views
4K
Please help with this physics experiment -- Water leaking out of inverted water bottle
    • Introductory Physics Homework Help
2
Replies
55
Views
1K
Depth of a basketball floating on water
    • Introductory Physics Homework Help
Replies
9
Views
218
Find the Upward Force of a Boat with 6 People Aboard
    • Introductory Physics Homework Help
Replies
11
Views
1K
Will the displacement of a solid ball affect the water level?
    • Introductory Physics Homework Help
Replies
7
Views
1K
Calculate energy required to heat water using a steam coil
    • Introductory Physics Homework Help
Replies
9
Views
2K
Buoyancy,volume of air inside barrel
    • Introductory Physics Homework Help
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top