The top surface of the passenger car of a train moving at a velocity of 115 km/h is 2.8 m wide and 8 m long. The top surface is absorbing solar radiation at a rate of 380 W/m2 and the temperature of the ambient air is 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car.  The properties of air at 30°C are (Table A-15) k = 0.02588 W/m⋅°C, v = 1.608 × 10−5 m2/s, and Pr = 0.7282. The equilibrium temperature of the top surface of the car is:

Elements Of Electromagnetics
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The top surface of the passenger car of a train moving at a velocity of 115 km/h is 2.8 m wide and 8 m long. The top surface is absorbing solar radiation at a rate of 380 W/m2 and the temperature of the ambient air is 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car.  The properties of air at 30°C are (Table A-15) k = 0.02588 W/m⋅°C, v = 1.608 × 10−5 m2/s, and Pr = 0.7282.

The equilibrium temperature of the top surface of the car is:

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