Juniorphysics
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Need help on Thermodynamics problem: thermal expansion to be more specific!
A steel ring with a 2.5000in- inside diameter at 20.0°C is to be warmed and slipped over a brass shaft with a 2.5015in outside diameter at 20.0°C.
Part A:
To what temperature should the ring be warmed?
Part B:
If the ring and the shaft together are cooled by some means such as liquid air, at what temperature will the ring just slip off the shaft?
Attempt at solution:
using dL=alphaLidT
i converted the diameters to meters because i was given alpha in m/m°C. so i got d1=0.0635m d2=0.0635381m and dL=0.0000381m
i used alpha=13*10-7m/m°C
and got dT to be 45.9 but that gave me the incorrect answer
A steel ring with a 2.5000in- inside diameter at 20.0°C is to be warmed and slipped over a brass shaft with a 2.5015in outside diameter at 20.0°C.
Part A:
To what temperature should the ring be warmed?
Part B:
If the ring and the shaft together are cooled by some means such as liquid air, at what temperature will the ring just slip off the shaft?
Attempt at solution:
using dL=alphaLidT
i converted the diameters to meters because i was given alpha in m/m°C. so i got d1=0.0635m d2=0.0635381m and dL=0.0000381m
i used alpha=13*10-7m/m°C
and got dT to be 45.9 but that gave me the incorrect answer