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posted by  Da Gee on 7/29/2008 1:15:13 PM  |  status: Closed  

Physics Problem **WILL RATE LIFESAVER**

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Algebra Based Physics N/A N/A N/A
Question Details:
The coefficient of linear expansion of aluminum is 23 x 10-6/C°. A circular hole in an aluminum plate is 2.725 cm in diameter at 0° C. What is the diameter of the hole if the temperature of the plate is raised to 100° C?

 
Please show all work or explain so that I can learn from you.
 
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posted by A-Rod 7821 on 7/29/2008 1:41:29 PM  |  status: Live
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Da Gee's comment:
"Thanks"
Response Details:
Given quantites: α=23 x 10-6C-1, Li=2.725cm =0.02725m, ΔT=Tf-Ti=1000C-00C=1000C, ΔL=?
 
Use the formula for average coefficient of linear expansion:
 
 
 
 
 
where d0=initial diameter=0.02725m, Δd=6.2675 x 10-5m...
 
 
 
 
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posted by Suebee on 7/29/2008 2:07:36 PM  |  status: Live
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Da Gee's comment:
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Response Details:
The change in diameter of the hole depends on the temperature change, the initial length and a constant  of expansion of the material. This is represented by:
               ΔL  = α L0 ΔT
                       = (23x10-6/C )( 2.725)(100C - 0C)
                       = 0.00627 cm
The new diameter is:
               d = d0 + Δd
                  = 2.725 cm + 0.00627 cm = 2.731 cm is th e diameter of the hole at 100 C .
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