- #1
that is correct, but i don't think he would want to go for THAT accuracy, involving the extra compression of air by 3%. He could simply obtain the volume, plug in the value of ρwater= 1000kg/m3 along with g=9.8m/s2 and voila.sophiecentaur said:The solution to this depends upon how accurate you need the answer. The air/water interface at the bottom is under pressure ρgh and the volume will be less than the cylinder volume, so the upthrust will be less. You may need to account for the volume of air being under water pressure of around 0.3m depth (about 1/30 atmospheric pressure) - which means that the original volume of air will be compressed additionally by about 3% (back of a fag packet calculation). Is that relevant for you? A more accurate answer can be obtained if you are bothered about greater accuracy than a percent.
Otherwise you can say the upthrust will be the volume of the cylinder times the density of water. (minus the actual weight of the material of the cylinder, of course.)
Buoyancy force is the upward force exerted by a fluid on an object that is partially or fully submerged in the fluid. It is a result of the difference in pressure between the top and bottom of the object.
The buoyancy force can be calculated by multiplying the density of the fluid, the volume of fluid displaced by the object, and the acceleration due to gravity (9.8 m/s²). This is known as Archimedes' principle.
The buoyancy force is affected by the density of the fluid, the volume of fluid displaced by the object, and the acceleration due to gravity. The shape and density of the object also play a role in determining the buoyancy force.
The shape of an object affects the buoyancy force by determining the volume of fluid that is displaced. Objects with a larger volume will displace more fluid and experience a greater buoyancy force.
Buoyancy is important in science because it helps explain why objects float or sink in fluids and it is a key concept in understanding fluid mechanics. It also has practical applications in fields such as marine engineering, architecture, and transportation.