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<p>[QUOTE="Bacchus, post: 44019, member: 759"]<b>Archimedes Principle</b></p><p><br /></p><p>You’re correct, Archimedes Principle (AP) would have an effect on the weight a scale would measure if not measured in a vacuum. The pound of cotton would have greater volume than the pound of gold and thus would have more upward “pull” from the atmosphere than would gold. </p><p><br /></p><p>We don’t need to consider the same problem if the measurement was made underwater which has additional complexities (the cotton is absorbing water; the cotton, while solid, is not a solid block, so the water would “infiltrate” the outer volume of the cotton, etc.) which we might circumvent by stipulating the cotton is is contained in a vacuum-sealed virtually-weightless piece of shrinkwrap. </p><p><br /></p><p>This principle would not have any effect on the <i>mass, </i>and it would not have any effect on the gravitational pull on the gold or cotton, but I would think it would result in a force <i>countering, </i>the gravitational pull. I’m treating the gravitational force and the AP force as two different forces, the difference of which is the measured weight.</p><p><br /></p><p>For those not familiar with AP, think of a helium balloon. The balloon plastic and the contained helium have a certain combined weight. The air that the balloon <i>displaces </i> (the volume of the balloon) also has a certain weight. The balloon rises because the displaced air weight is greater than the combined weight of the plastic and helium, so the net weight is “negative”. Same thing with air bubbles rising in water. If the weight of the air was heavier than an equal volume of water, the bubbles would sink.</p><p><br /></p><p>I’m not a physicist, so if I have any of this wrong please correct me.</p><p><br /></p><p>Air at one atmosphere of pressure and 20 degrees C only weighs 1.204 mg per cubic centimeter, so I doubt if that is going to change the result of my original question. If I knew the density of cotton we could calculate the volume of a pound of cotton and multiply that by the density of air to determine the AP force and know for sure.[/QUOTE]</p><p><br /></p>
[QUOTE="Bacchus, post: 44019, member: 759"][b]Archimedes Principle[/b] You’re correct, Archimedes Principle (AP) would have an effect on the weight a scale would measure if not measured in a vacuum. The pound of cotton would have greater volume than the pound of gold and thus would have more upward “pull” from the atmosphere than would gold. We don’t need to consider the same problem if the measurement was made underwater which has additional complexities (the cotton is absorbing water; the cotton, while solid, is not a solid block, so the water would “infiltrate” the outer volume of the cotton, etc.) which we might circumvent by stipulating the cotton is is contained in a vacuum-sealed virtually-weightless piece of shrinkwrap. This principle would not have any effect on the [i]mass, [/i]and it would not have any effect on the gravitational pull on the gold or cotton, but I would think it would result in a force [i]countering, [/i]the gravitational pull. I’m treating the gravitational force and the AP force as two different forces, the difference of which is the measured weight. For those not familiar with AP, think of a helium balloon. The balloon plastic and the contained helium have a certain combined weight. The air that the balloon [i]displaces [/i] (the volume of the balloon) also has a certain weight. The balloon rises because the displaced air weight is greater than the combined weight of the plastic and helium, so the net weight is “negative”. Same thing with air bubbles rising in water. If the weight of the air was heavier than an equal volume of water, the bubbles would sink. I’m not a physicist, so if I have any of this wrong please correct me. Air at one atmosphere of pressure and 20 degrees C only weighs 1.204 mg per cubic centimeter, so I doubt if that is going to change the result of my original question. If I knew the density of cotton we could calculate the volume of a pound of cotton and multiply that by the density of air to determine the AP force and know for sure.[/QUOTE]
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