Springs in a suspension system of automobiles are made of steel rods heated and wound into coils while ductile. Consider steel rods (p = 7832 kg/m³, C, = 434 J/kg-K, k= 63.9 W/m-K) with a diameter of 2.5 cm and length of 1.27 m. The steel rods are heated in an oven with a uniform convection heat transfer coefficient of h = 20 W/m²-K. The steel rods are heated from an initial temperature of 20C to the desired temperature of 450°C before being wound into coils. Determine the required ambient temperature in the oven if the steel rods must be heated to the desired temperature within 10 minutes. Prove the lump parameter analysis can be used.

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