Difference between revisions of "Finding the Space Between Lead Shots"

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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
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==Plan 1==
 
==Plan 1==
 
By Mass
 
By Mass
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==Experiment==
 
==Experiment==
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=== Plan 1===
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−
Date
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===Plan 1===
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We had 2 scales to measure the weight. Let's call them scale #1 and scale #2, measurement on them were called weight #1 and Weight respectively.
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{| border="1" cellpadding="20" cellspacing="0"
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|-
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|Mesurements
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|Discriptions
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|masses
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|weight #1 (£)
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|weight #2 (£)
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|Weight AVE (£)
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|Weight AVE (g)
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|-
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|1 ||Box || m <sub>1</sub> ||3 ||4 ||3.5 || 1587.6
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|-
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|2  ||Box+Pb ||m <sub>2</sub> ||102 ||103  ||102.5 ||46493.2
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|-
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|3 ||Box+Pb+<math>H_{2}</math>O ||m<sub>3</sub>||105 || 111||108 ||48988.0
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|-
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|4 ||Box+<math>H_{2}</math>O ||m<sub>4</sub>||15 ||18 ||16.5  ||7484.3
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|-
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|}
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Calculations
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V<sub>Pb</sub> = (m<sub>2</sub> - m<sub>1</sub>)/ρ<sub>Pb</sub>=3959.2 <math>cm^3</math>
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V<sub>Pb</sub> = (m<sub>4</sub> - m<sub>1</sub>)/ρ<sub>H2O</sub>=5896.8 <math>cm^3</math>
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Ratio = V<sub>Pb</sub>/V<sub>tot</sub> =67%
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=== Plan 2===
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{| border="1" cellpadding="20" cellspacing="0"
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|-
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|Measurements
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|Descriptions
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|V<sub>H2O</sub> = V<sub>sp</sub> (<math>cm^3</math>)
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|V<sub>tot</sub> (<math>cm^3</math>)
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|Ratio
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|-
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|1 ||without shaking ||2600 || 6500 ||60%
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|-
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|2 ||without shaking ||840 ||2000 ||58%
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|-
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|2 ||with a lot of shaking ||210 ||510 ||64.7%
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|-
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|}
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Calculations
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Ratio = 1 -  V<sub>sp</sub>/V<sub>tot</sub>
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== Conclusion==
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We believe the plan 2 is more precise. The reason is in the plan 1 the scales we had are not precise and there are error propagation when use mass to calculate volume. However, in plan 2 we directly measured the volume.
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Experiment  also shows that shaking will increase the packing ratio significantly.
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[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]

Latest revision as of 06:26, 5 February 2009

Go Back


Plan 1

By Mass

Lead Shot

1 - Empty box, m 1

2 - Box filled with Lead, m 2

3 - Box filled with Lead and H 2 0, m 3

4 - Box filled with H 2 0, m 4


m Pb = m 2 - m 1

V Pb = (m 2 - m 1) / ρ Pb


m H 2 0 = m 3 - m 2

V H 2 0 = (m 3 - m 2) / ρ Pb = V SP (The space between the lead)

ratio = V Pb / V tot


Plan 2

By Volume

1 - V H 2 0 1 = V tot

2 - V H 2 0 2 = V SP


V Pb = V tot - V SP

R = V Pb / V tot = (V tot - V SP) / V tot => 1 - (V SP / V tot)

Experiment

Plan 1

We had 2 scales to measure the weight. Let's call them scale #1 and scale #2, measurement on them were called weight #1 and Weight respectively.

Mesurements Discriptions masses weight #1 (£) weight #2 (£) Weight AVE (£) Weight AVE (g)
1 Box m 1 3 4 3.5 1587.6
2 Box+Pb m 2 102 103 102.5 46493.2
3 Box+Pb+[math]H_{2}[/math]O m3 105 111 108 48988.0
4 Box+[math]H_{2}[/math]O m4 15 18 16.5 7484.3

Calculations

VPb = (m2 - m1)/ρPb=3959.2 [math]cm^3[/math]

VPb = (m4 - m1)/ρH2O=5896.8 [math]cm^3[/math]

Ratio = VPb/Vtot =67%

Plan 2

Measurements Descriptions VH2O = Vsp ([math]cm^3[/math]) Vtot ([math]cm^3[/math]) Ratio
1 without shaking 2600 6500 60%
2 without shaking 840 2000 58%
2 with a lot of shaking 210 510 64.7%


Calculations

Ratio = 1 - Vsp/Vtot

Conclusion

We believe the plan 2 is more precise. The reason is in the plan 1 the scales we had are not precise and there are error propagation when use mass to calculate volume. However, in plan 2 we directly measured the volume.

Experiment also shows that shaking will increase the packing ratio significantly.

Go Back

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