Newton's rings: Difference between revisions

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{{Distinguish|specific gravity}}
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The '''specific weight''' (also known as the '''unit weight''') is the [[weight]] per unit [[volume]] of a material.  The symbol of specific weight is '''γ''' (the Greek letter [[Gamma]]).
 
A commonly used value is the specific weight of [[water]] on [[Earth]] at 5°C which is 62.43 [[Pound-force|lbf]]/ft<sup>3</sup> or 9.807 kN/m<sup>3</sup>.
<ref name="FE"> National Council of Examiners for Engineering and Surveying (2005). Fundamentals of Engineering Supplied-Reference Handbook (7th ed.). Clemson: National Council of Examiners for Engineering and Surveying. ISBN 1-932613-00-5
</ref>
 
The terms ''[[specific gravity]]'', and less often ''specific weight'', are also used for [[relative density]].
 
==General formula==
 
:<math>\gamma = \rho \, g</math>
where
:<math>\gamma</math> is the specific weight of the material ([[weight]] per unit [[volume]], typically N/m<sup>3</sup> units)
:<math>\rho</math> is the [[density]] of the material ([[mass]] per unit [[volume]], typically kg/m<sup>3</sup>)
:<math>g</math> is [[standard gravity|acceleration due to gravity]] (rate of change of [[velocity]], given in m/s<sup>2</sup>, and on Earth usually given as 9.81 m/s<sup>2</sup>)
 
==Changes of specific weight==
Unlike density, specific weight is not [[wikt:absolute|absolute]]. It depends upon the value of the [[gravitational acceleration]], which varies with location.  A significant influence upon the value of specific gravity is the [[temperature ]] of the material.  [[Pressure]] may also affect values, depending upon the [[bulk modulus]] of the material, but generally, at moderate pressures, has a less significant effect than the other factors. <ref name="fluids" />
 
==Uses==
 
===Fluid mechanics===
 
In [[fluid mechanics]], specific weight represents the [[force]] exerted by [[gravity]] on a unit volume of a fluid.  For this reason, units are expressed as force per unit volume (e.g., lb/ft<sup>3</sup> or N/m<sup>3</sup>).  Specific weight can be used as a characteristic [[List of materials properties|property]] of a fluid. <ref name="fluids" />
 
===Soil mechanics===
 
Specific weight is used as a property of soil often used to solve [[Earthworks (engineering)|earthwork]] problems.
 
In soil mechanics, specific weight may refer to:
*'''Moist unit weight''', which is the unit weight of a soil when void spaces of the soil contain both water and air.
 
:<math>\gamma = \frac{(1+w)G_s\gamma_w}{1+e}</math>
where
:<math>\gamma</math> is the moist unit weight of the material
:<math>\gamma_w</math> is the unit weight of water
:w is the [[moisture content]] of the material
:Gs is the [[specific gravity]] of the solid
:e is the [[void ratio]]
 
*'''Dry unit weight''', which is the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water.
The formula for dry unit weight is:
:<math>\gamma_d = \frac{G_s\gamma_w}{1+e} = \frac{\gamma}{1+w}</math>
where
:<math>\gamma</math> is the moist unit weight of the material
:<math>\gamma_d</math> is the dry unit weight of the material
:<math>\gamma_w</math> is the unit weight of water
:w is the [[moisture content]] of the material
:Gs is the [[specific gravity]] of the solid
:e is the [[void ratio]]
 
Typical values of soil dry unit weight can be found on [http://www.geotechdata.info/parameter/soil-dry-unit-weight.html geotechdata.info database].
 
*'''Saturated unit weight''', which is the unit weight of a soil when all void spaces of the soil are completely filled with water, with no air.
 
The formula for saturated unit weight is:
:<math>\gamma_s = \frac{(G_s+e)\gamma_w}{1+e}</math>
where
:<math>\gamma_s</math> is the saturated unit weight of the material
:<math>\gamma_w</math> is the unit weight of water
:w is the [[moisture content]] of the material
:Gs is the [[specific gravity]] of the solid
:e is the [[void ratio]]<ref name="soils">Das, Braja M. (2007). ''Principles of Geotechnical Engineering''. Canada: Chris Carson.  ISBN 0-495-07316-4. </ref>
 
*'''Submerged unit weight''', which is defined as the difference between the saturated unit weight and the unit weight of water. <ref name="Intelligent Compaction"> The Transtec Group, Inc. (2012). ''Basic Definitions and Terminology of Soils''. http://www.intelligentcompaction.com/downloads/IC_RelatedDocs/SoilCmpct_Basic%20definitions%20of%20Soils.pdf (Page viewed December 7, 2012 </ref> It is often used in the calculation of the [[effective stress]] in a soil.
 
The formula for submerged unit weight is:
:<math>\gamma^' = \gamma_s - \gamma_w</math>
where
:<math>\gamma^'</math> is the submerged unit weight of the material
:<math>\gamma_s</math> is the saturated unit weight of the material
:<math>\gamma_w</math> is the unit weight of water
 
===Mechanical engineering===
 
Specific weight can be used in [[mechanical engineering]] to determine the weight of a structure designed to carry certain loads while remaining intact and remaining within limits regarding [[deformation (engineering)|deformation]].
 
==Specific weight of water==
 
{| class="wikitable" style="text-align:center"
|-
!Temperature(°F)!! Specific weight (lb/ft<sup>3</sup>)
|-
| 32 || 62.42
|-
| 40 || 62.43
|-
| 50 || 62.41
|-
| 60 || 62.37
|-
| 70 || 62.30
|-
| 80 || 62.22
|-
| 90 || 62.11
|-
| 100 || 62.00
|-
| 110 || 61.86
|-
| 120 || 61.71
|-
| 130 || 61.55
|-
| 140 || 61.38
|-
| 150 || 61.20
|-
| 160 || 61.00
|-
| 170 || 60.80
|-
| 180 || 60.58
|-
| 190 || 60.36
|-
| 200 || 60.12
|-
| 212 || 59.83
|-
| colspan="2" align="center" style="font-size:80%" | Specific weight of water at standard sea-level atmospheric pressure (English units) <ref name="fluids"> Finnemore, J. E. (2002). ''Fluid Mechanics with Engineering Applications''. New York: McGraw-Hill. ISBN 0-07-243202-0. </ref>
|}
 
{| class="wikitable" style="text-align:center"
|-
!Temperature(°C)!! Specific weight (kN/m<sup>3</sup>)
|-
| 0 || 9.805
|-
| 5 || 9.807
|-
| 10 || 9.804
|-
| 15 || 9.798
|-
| 20 || 9.789
|-
| 25 || 9.777
|-
| 30 || 9.765
|-
| 40 || 9.731
|-
| 50 || 9.690
|-
| 60 || 9.642
|-
| 70 || 9.589
|-
| 80 || 9.530
|-
| 90 || 9.467
|-
| 100 || 9.399
|-
| colspan="2" align="center" style="font-size:80%" | Specific weight of water at standard sea-level atmospheric pressure (Metric units) <ref name="fluids" />
|}
 
==Specific weight of air==
 
{| class="wikitable" style="text-align:center"
|-
!Temperature(°F)!! Specific Weight (lb/ft<sup>3</sup>)
|-
| −40 ||
|-
| −20 || 0.0903
|-
| 0 || 0.08637
|-
| 10 || 0.08453
|-
| 20 || 0.08277
|-
| 30 || 0.08108
|-
| 40 || 0.07945
|-
| 50 || 0.0779
|-
| 60 || 0.0764
|-
| 70 || 0.07495
|-
| 80 || 0.07357
|-
| 90 || 0.07223
|-
| 100 || 0.07094
|-
| 120 || 0.06849
|-
| 140 || 0.0662
|-
| 160 || 0.06407
|-
| 180 || 0.06206
|-
| 200 || 0.06018
|-
| 250 || 0.05594
|-
| colspan="3" align="center" style="font-size:80%" | Specific weight of air at standard sea-level atmospheric pressure (English units) <ref name="fluids" />
|}
 
{| class="wikitable" style="text-align:center"
|-
!Temperature(°C)!! Specific weight (N/m<sup>3</sup>)
|-
| −40 || 14.86
|-
| −20 || 13.86
|-
| 0 || 12.68
|-
| 10 || 12.24
|-
| 20 || 11.82
|-
| 30 || 11.43
|-
| 40 || 11.06
|-
| 60 || 10.4
|-
| 80 || 9.81
|-
| 100 || 9.28
|-
| 200 || 7.33
|-100 ii 89
| colspan="3" align="center" style="font-size:80%" | Specific weight of air at standard sea-level atmospheric pressure (Metric units) <ref name="fluids" />
|}
 
== See also ==
* [[Density]]
* [[Relative density]]
* [[Specific gravity]]
*
 
==References==
{{Reflist}}
 
==External links==
* [http://www.arrowweights.com/ Water Weights & Weight Belts (Arrow Weights Manufacturing)]
* http://www.engineeringtoolbox.com/density-specific-weight-gravity-d_290.html
* http://www.themeter.net/pesi-spec_e.htm
 
[[Category:Soil mechanics]]
[[Category:Fluid mechanics]]
[[Category:Physical chemistry]]
[[Category:Physical quantities]]
[[Category:Density]]

Latest revision as of 05:57, 23 October 2014

Nice to satisfy you, my title is Refugia. Years in the past we moved to North Dakota. My day occupation is a meter reader. To gather coins is a thing that I'm totally addicted to.

Also visit my web site ... std testing at home