An aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.

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An aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of
4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will
the aluminium ring be exactly the same size as the steel rod?
The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal
expansion of aluminium is 24.0x10-6 x-1.
Transcribed Image Text:An aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.
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