On a hot day, the temperature of a race track is higher than that of the surrounding

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On a hot day, the temperature of a race track is higher than that of the surrounding air. The track temperature is highly influential in determining the rate of tire degradation for a race car. Determine the track temperature for air temperatures of \(20^{\circ} \mathrm{C}, 28^{\circ} \mathrm{C}\) and \(35^{\circ} \mathrm{C}\). You may assume that the intensity of sunlight is \(1250 \mathrm{~W} / \mathrm{m}^{2}\) and that \(20 \%\) of the light incident on the surface of the track is reflected and the rest is absorbed. The heat transfer coefficient between the track and the surrounding air is \(100 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\).

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