science help needed
If a 51 m steel footbridge experiences extreme
temperatures between 18
C and 41C, what
is the range in size of this bridge if it measure exactly 51 m at 23
C? (Steel has a coe�'cient
of linear expansion of 1.1 x 10 ^-5/C).
This is how I did it,but not sure if it is right.
(51)(1.1x10^5)(59)=0.033099
(51)(1.1x10^5) (18)= 0.010098
0.033099-0.010098 =answer
Thanks for the help in advance.
February 1, 2013
5 Comments • Newest first
L-51m=(51m)(1.1*10^-5/C)(18-23C) -> find L at 18C
L-51m=(51m)(1.1*10^-5/C)(41-23C) -> find L at 41C
(L at 41C)-(L at 18C) = answer
I can't get the 0,033099 one.
l = lo ( 1 + alfa*deltaT)
l(18c) = 51m ( 1 + 1.1 x 10 ^-5/C * (23-18)C)
l(18c) = 51,002805m
51,002805m - 51m = 0,002805m
l(41c) = 51m ( 1 + 1.1 x 10 ^-5/C * (41-23)C)
l(41c) = 51,010098
51,010098
51,010098m - 51m = 0,010098m
What did I do wrong?
change in length = (initial length)(coefficient of linear expansion)(change in temperature in celsius)
solve for the change in length for 18 C and 41 C separately using the initial length of 51 m and initial temp of 23 C for both extremes. find the length of the bridge at 18 C and 41 C by using change in length = final length - initial length. subtract.
If a bride gets that hot or cold, then does it matter since the people around it would be dead?
[quote=BlackOpsII]if it experiences extreme weather conditions, it collapses.[/quote]
Not what im looking for but thanks for the reply.Need to know if what im doing to get the range is right or now :o.