Can someone explain Specific Gravity?

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Specific gravity (SG) is defined as the ratio of the weight of a substance to the weight of an equal volume of water, or equivalently, the ratio of the density of the substance to the density of water. The discussion clarifies that while density and weight are different, they can be related through equal volumes, allowing the ratios to equate. The formula for SG can be expressed as SG = (mass of substance)/(mass of equal volume of water), and since weight is mass times gravity, the gravitational constant cancels out when comparing weights at the same location. This leads to the conclusion that SG can be calculated using either density or weight, as long as the volumes are equal. The explanation resolves the initial confusion about the relationship between density and weight in the context of specific gravity.
PolarisNorth
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http://www.tpub.com/content/engine/14105/css/14105_20.htm
This website tells me that Specific Gravity is
weight of substance/weight of equal volume of water
or
density of substance/density of water.

Can someone explain how this is true? Density and weight are two different things so how do they both give me SG?

Please help me! I am very confused.
 
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PolarisNorth said:
Can someone explain how this is true? Density and weight are two different things so how do they both give me SG?
As long as you use equal volumes, the ratio of weights will equal the ratio of densities.

Let V stand for volume; d for density; w for weight. Then the ratio of weights will equal:

w1/w2 = (d1Vg)/(d2Vg) = d1/d2.
 
SG=density of substance/density of water
density=mass/volume,therefore:
SG=(mass/volume of substance)/(mass/volume of water)...if volumes are equal:
SG=mass of substance/mass of equal volume of water...Weight=Mg therefore:
SG=(Weight of substance/g)/(weight of equal volume of water/g) If the weighings are carried out at the same place g would be constant and cancels out..therefore:
SG=weight of substance/weight of equal volume of water.

You beat me again Doc Al:biggrin:
 
Broken down and written out, that would be:
Weight = (Density)(Volume)(Force of Gravity)
Weight = (Mass/Volume)(Volume)(Force of Gravity)
Weight = (Mass)(Force of Gravity)

Is this where w1=d1Vg and w2=d2Vg comes from?
I think this makes sense now. Thank you very much! I really appreciate it.

Edit: Nevermind. No need to answer this. Dadface answered it for me.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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