1.At what temp. of 0^C steel rod and copper rod have length of 800.1 99.9 respectively. At what temp. will the 2 rods have the same length eff. of linear expansion Copper------.000017 steel-------.0000132.The length of a brass bar increase from 4.001 into 4.0030 m. find the final temperature of the bar if the initial temperature was 0 Celsius eff. of linear expansion brass---------.000019
Ltc L0c( 1+α(c) t) Ltc the length of copper at t?c L0c the length of copper at 0?c α(c) coeff. of linear expansion of copper 0.000017 t rise in temperature final temperature since initial temperature is 0?c Similarly for steel, Lts L0s( 1+α(s) t) 1. Lts the length of steel at t?c L0s the length of copper at 0?c α(s) coeff. of linear expansion of steel r 0.000013 t rise in temperature final temperature since initial temperature is 0?c Lts Ltc at t?c L0s (1+α(s) t) L0c (1+α(c) t) L0s + L0s α(s) t L0c + L0c α(c) t) L0s - L0c [L0c α(c) - L0s α(s)]*t t (L0s - L0c) / [L0c α(c) - L0s α(s)] Substitute the given values and find the answer. Note you have not given the units of initial length of the rods. 2 The length of a brass bar increase from 4.001 into 4.0030 m. find the final temperature of the bar if the initial temperature was 0 Celsius. Coeff. of linear expansion brass---------.000019 Lt L0*(1+α t) t (Lt/L0) /(Lo* α) (4.0030-4.001) / (4.001 *0.000019) Increase of length (Lt- L0) 0.002 m t 26.3?
