A blacksmith fixes iron ring on the rim of the wooden wheel of a bullock cart. The diameter of the rim and the ring are 5.243 m and 5.231 m respectivelyat 27^(@)C. To what temperature should the ring be heated so as to fit the rim of the wheel ? Coefficient of linear expansion of iron = 1.20 xx 10^(-5) K^(-1)

A blacksmith fixes iron ring on the rim of the wooden wheel of a bullo

1.	A blacksmith fixes iron ring on the rim of the wooden wheel of a bullock cart. The diameter of the rim and the ring are 5.243 m and 5.231 m respectivelyat 27^(@)C. To what temperature should the ring be heated so as to fit the rim of the wheel ? Coefficient of linear expansion of iron = 1.20 xx 10^(-5) K^(-1)
Answer» SOLUTION :`d_(2)=d_(1)[1+alphaDeltat]` `5.243=5231[1+1.2xx10^(-5)(T-30)]` `[(5243)/(5231)-1]=1.2xx10^(-5)(T-300)` `T=191+300=491k=218^(@)`C