The metal rim is always slightly smaller than the wooden wheel. That metal rim is heated.
As it heats up, the rim expands and fits on the wheel. Coldwater is then poured over the rim.
Due to the cooling, the metal rim shrinks and adapts perfectly to the wheel.
Final answer:
The metal rim is always slightly smaller than the wooden wheel. That metal rim is heated. On heating, the rim expands and fits onto the wheel. Coldwater is then poured over the rim. Due to the cooling, the metal rim shrinks and adapts perfectly to the wheel.