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The center of gravity of a sphere full of water that is leaking will gradually shift as the water leaks out. Initially, the center of gravity will be at the geometric center of the sphere. However, as water leaks out, the center of gravity will move towards the direction of the leak due to the changing distribution of mass within the sphere. The final position of the center of gravity will depend on the rate of leakage and the amount of water remaining in the sphere.
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How do you calculate the water displacement of a sphere?
The water displacement of a sphere can be calculated using the formula for the volume of a sphere, which is V = (4/3)πr^3, where r is the radius of the sphere. The volume of water displaced by the sphere is equal to the volume of the sphere when it is submerged in water.
Why does a water drop form a sphere?
Water (H2O) is very cohesive, meaning that its molecules tend to stick to each other. Cohesion of water is especially strong due to an H2O's ability to make up to 4 hydrogen bonds with other water molecules. This principle is also responsible for the common elementary experiment in which many drops of water are dropped on a penny head, yet the water manages to stay on top. Its cohesiveness is due to
Why the center of pressure of a submerged body lies below the center of gravity?
The upward thrust which the surrounding fluid exerts on an object is referred to as the force of buoyancy. This thrust acts through the centroid of the displaced volume, referred to as the centre of buoyancy. The centre of buoyancy is not the same as the centre of gravity which relates to the distribution of weight within the object. If the object is a solid with a uniform density exactly the same as water and the body is immersed in water the force of buoyancy will be exactly equal to the weight and the centre of buoyancy will be the same as the centre of gravity. The object will be in equilibrium with the surrounding fluid.
Do objects fall at the same speed through water?
No. The speed an object will fall in water depends on: 1) The mass of the object compared to the volume of water displaced 2) The hydrodynamic friction between the water and the objects motion 3) The local gravity. For example: A 10cm sphere of iron has a density of 7.8 and a mass of 4.08kg. The mass of water displaced is 0.52kg. Gravity exerts a downward force of 40.0N downwards on the sphere, while the water exerts an upwards force of 5.1N due to bouyancy. This means that there is an initial downward force of 34.9N downwards on the iron sphere. A 10cm sphere of glass has a density of 2.5 and a mass of 1.31kg. Gravity exerts a downward force of 12.8N downwards on the sphere, while the water exerts the same 5.1N upward bouyancy force. This means that there is an initial downward force of 7.7N downwards on the glass sphere. Both spheres will accelerate in water according to F=ma, where (F) is the force exerted, (m) is the mass and (a) is the acceleration. For the iron sphere, the initial acceleration is 8.6m/s2 while for the glass sphere the initial acceleration is 5.9m/s2. This difference is due to the bouyancy force of the water which is the same for both spheres, even though the masses are different. As the spheres accelerate, the drag force of the water will increase from zero to some value which equals the net gravity force calculated above. The drag coefficient will vary somewhat with the speed but it can be considered the same for both spheres if they are both the same smoothness. Since the forces are different, the steady state speed (terminal velocity) will be different for each sphere. A 10cm sphere of balsa wood has a density of 0.1 and a mass of 0.05kg. Gravity exerts a force of 0.5N downwards while the water exerts the same bouyancy force of 5.1N upwards. Thus the balsa sphere accelerates upwards rather than downwards because the water it displaces is heavier than it and squashes it up. It will have a terminal velocity in the upwards direction. By contrast, in a vacuum, there is no bouyancy force as nothing is being displaced so (F) is proportional to (m) and thus (a) is constant. In this case all the spheres would accelerate at the same speed. In our atmosphere, the bouyancy force of air is very small, so objects may appear to fall at the same rate when in fact they are very slightly different. A hydrogen sphere would rise in air, just like a balsa sphere rises in water.
Why does a sphere made of steal float when put in water?
A steel sphere will float in water if its density is less than that of water. This means the weight of the sphere pushing down is less than the weight of the water it displaces, creating a buoyant force that keeps it afloat.
How ocean water stays in your sphere globe?
Gravity holds it on.
Why can liquids change their shape for example why can water flow?
Gravity causes water to flow downhill. A blob of water released inside a spacecraft under zero gravity, will form a floating sphere. On earth, If there are no sides to retain the water, the water spreads out and forms a puddle.
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Why does water flow downward?
Gravity Gravity is the force that pulls everything downwards towards the centre of the earth. There are no scientific explanations to why and how this force works - it's God's perfect design.
Can earths gravity increase or decrease?
Yes, it is not a constant. The force of gravity is related to the distance from the centre of the earth so that the force of gravity will be slightly reduced at altitudes. Also, the earth is not a perfect sphere - it bulges at the equator and is flatter at the poles. So the force of gravity will be greater at the poles. The force of gravity is also affected by what is under the surface: if standing over dense rocks, the force will be greater. Finally, the force of gravity is also higher after heavy rainfall. [I guess that is because the water fills up all the air gaps in the soil and so increases its density.]
When was Water Sphere created?
Water Sphere was created in 2005.
How do you calculate the water displacement of a sphere?
The water displacement of a sphere can be calculated using the formula for the volume of a sphere, which is V = (4/3)πr^3, where r is the radius of the sphere. The volume of water displaced by the sphere is equal to the volume of the sphere when it is submerged in water.
Is the water line leaking in your home?
No, the water line in my home is not leaking.
Leaking coolant from water outlet?
Your engine may have a leaking hose connection or a leaking gasket at the water outlet. It could also be a leaking hose.
Is the toilet leaking from the water line?
Yes, the toilet is leaking from the water line.
Is the water faucet outside leaking?
Yes, the water faucet outside is leaking.
