a large steel wheel is to be fitted on to a shaft of the same material. At `27^(@)C`, the outer diameter of the shaft is `8.70cm` and the diameter of the central hole in the wheel is `8.69cm` . The shaft is cooled using 'dry ice' , At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel to be constant over the required temperature range: `alpha_(steel) = 1.20xx10^(-5)K^(-1)`.

Explanation

When the shaft is cooled to temperature ` - 69 ^(@) C` the wheel can slip on the shaft .