# A large steel wheel is to be fitted on to a shaft of the same material. At 29 °C, the outer diameter of the shaft is 11.70 cm and the diameter of the central hole in the wheel is 9.69 cm. 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 : αsteel = 1.20 × 10-5 K-1.

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A large steel wheel is to be fitted on to a shaft of the same material. At 29 °C, the outer diameter of the shaft is 11.70 cm and the diameter of the central hole in the wheel is 9.69 cm. 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 : αsteel = 1.20 × 10-5 K-1.

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Step 1

Convert the temperature of the outer diameter of the shaft to Kelvin.

Step 2

The difference between outer diameter of the shaft and inner hole of the wheel is:

Step 3

The diameter of the shaft must decrease by Δd so that the wheel sleeps on...

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