In context to Buoyancy and Gravitation, is the volume of a sphere equal to the water displaced by it and also equal to the buoyant force exerted by the fluid?
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The forces at work in buoyancy. The object floats at rest because the upward force of buoyancy is equal to the downward force of gravity.
In physics, buoyancy (/ˈbɔɪ.ənsi, ˈbuːjən-/)[1][2] or upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Thus the pressure at the bottom of a column of fluid is greater than at the top of the column. Similarly, the pressure at the bottom of an object submerged in a fluid is greater than at the top of the object. This pressure difference results in a net upwards force on the object. The magnitude of that force exerted is proportional to that pressure difference, and (as explained by Archimedes' principle) is equivalent to the weight of the fluid that would otherwise occupy the volume of the object, i.e. the displaced fluid.
For this reason, an object whose density is greater than that of the fluid in which it is submerged tends to sink. If the object is either less dense than the liquid or is shaped appropriately (as in a boat), the force can keep the object afloat. This can occur only in a non-inertial reference frame, which either has a gravitational field or is accelerating due to a force other than gravity defining a "downward" direction. In a situation of fluid statics, the net upward buoyancy force is equal to the magnitude of the weight of fluid displaced by the body.[3]
The center of buoyancy of an object is the centroid of the displaced volume of fluid.
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In physics, buoyancy (/ˈbɔɪ.ənsi, ˈbuːjən-/)[1][2] or upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Thus the pressure at the bottom of a column of fluid is greater than at the top of the column. Similarly, the pressure at the bottom of an object submerged in a fluid is greater than at the top of the object. This pressure difference results in a net upwards force on the object. The magnitude of that force exerted is proportional to that pressure difference, and (as explained by Archimedes' principle) is equivalent to the weight of the fluid that would otherwise occupy the volume of the object, i.e. the displaced fluid.
For this reason, an object whose density is greater than that of the fluid in which it is submerged tends to sink. If the object is either less dense than the liquid or is shaped appropriately (as in a boat), the force can keep the object afloat. This can occur only in a non-inertial reference frame, which either has a gravitational field or is accelerating due to a force other than gravity defining a "downward" direction. In a situation of fluid statics, the net upward buoyancy force is equal to the magnitude of the weight of fluid displaced by the body.[3]
The center of buoyancy of an object is the centroid of the displaced volume of fluid.
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rajasvi2004:
Hey thanks for all the effort for copying and pasting from Wikipedia, I really appreciate it :). I just want to know whether all the 3 things mentioned in my question are equal or not because while solving numericals we sometimes consider them to be equal? (Even I could have searched on the internet but I needed a trusted and simple answer :))(no offence)
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In context to Buoyancy and Gravitation, is the volume of a sphere equal to the water displaced by it and also equal to the buoyant force exerted by the fluid
Heisenberg exchange interaction (sometimes called as magnetic stiffness?), originating from the Coulomb interaction and the Fermion statistics, is widely .
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