4. A large, thin, flat, black metal plate (that is insulated on the left side) absorbs heat from air blowing past it, and radiates the heat away. Your objective is to find Tplate- Tplate a) List out your assumptions. (5 pts) Tair W insulation b) Write a steady-state energy balance in terms of Tplate, Tair and T.. (10 pts) To yg X = c) Find Tplate. Use h=15 W/m2-K, Tair = 400 K and To = 280 K, and assume the plate is H=2 m tall, W=2.5 m wide, and L=1 cm thick? ( = a = 1, 0 = 5.67 * 10-8 W/m2) (You may need to iterate.) (10 pts)