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Physics Problem: what % barrel floating above water
#8
RE: Physics Problem: what % barrel floating above water
(November 20, 2011 at 9:30 pm)The_Flying_Skeptic Wrote:
(November 20, 2011 at 9:16 pm)IATIA Wrote:
(November 20, 2011 at 8:24 pm)The_Flying_Skeptic Wrote: A solid cylinder (radius 0.150m height 0.120m) has a mass of 7 kg. The cylinder is floating on water, but oil (r=875kg/m^3) is added to the container, the cylinder gets covered by the oil. What % of the cylinder is above water?

I think that that 100% of the solid cylinder is floating above water because the cylinder is less dense than the water and the oil. density_cylinder = (mass_cylinder) / (pi*(radius^2)*h) = (7) / (pi*(0.15^2)(0.120) = 825.248kg/m^3

However, I can't believe the problem is that easy. I must be doing something wrong.

The floating cylinder would displace 7kg (plus whatever is added to it) of water.

Nothing is added to the cylinder. The cylinder is solid. I made the mistake of saying the cylinder was a barrel in the title but it's just a solid cylinder. The cylinder is in a container full of water, and oil is added to the container. If enough oil was added to the container that cylinder gets covered by the oil...

Unless it is floating in the oil, it will still displace some water. It will be somewhere around 7kg - the weight of the displaced oil. A little more math than that, but right now I am not in math 'mode'.
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RE: Physics Problem: what % barrel floating above water - by IATIA - November 20, 2011 at 11:39 pm

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