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3. In my basement, the hot water that travels to the baseboard heaters is transported through bare copper pipes. The pipes have an inner diameter of 13.9 mm, and an outer diameter of 15.9 mm. Lowe's sells pipe insulation that has an internal diameter of $d_i = 15.9$ mm, and outer diameter of $d_o = 22.5$ mm, with $R' = 2.1$ F ft hr/BTU at a cost of $0.76/m. Assume that the water flowing through the pipes results in a convection coefficient of $h = 55 \text{ W/m}^2 \text{K}$, and free convection in the basement of my house has a convection coefficient of $h = 10 \text{ W/m}^2 \text{K}$. Neglect radiation. Should I insulate my pipes? Justify your answer by calculating how long it will take for me to make up my investment in heat savings by assuming that it costs me $0.05/kW hr to heat my water with wood during the winter.

          3. In my basement, the hot water that travels to the baseboard heaters is transported through bare copper pipes. The pipes have an inner diameter of 13.9 mm, and an outer diameter of 15.9 mm. Lowe's sells pipe insulation that has an internal diameter of $d_i = 15.9$ mm, and outer diameter of $d_o = 22.5$ mm, with $R' = 2.1$ F ft hr/BTU at a cost of $0.76/m. Assume that the water flowing through the pipes results in a convection coefficient of $h = 55 \text{ W/m}^2 \text{K}$, and free convection in the basement of my house has a convection coefficient of $h = 10 \text{ W/m}^2 \text{K}$. Neglect radiation. Should I insulate my pipes? Justify your answer by calculating how long it will take for me to make up my investment in heat savings by assuming that it costs me $0.05/kW hr to heat my water with wood during the winter.

3. In my basement, the hot water that travels to the baseboard heaters is transported through bare copper pipes. The pipes have an inner diameter of 13.9 mm, and an outer diameter of 15.9 mm. Lowe's sells pipe insulation that has an internal diameter of di = 15.9 mm, and outer diameter of do = 22.5 mm, with R' = 2.1 F ft hr/BTU at a cost of 0.76/m. Assume that the water flowing through the pipes results in a convection coefficient ofh = 55 W/m^2 K, and free convection in the basement of my house has a convection coefficient ofh = 10 W/m^2 K. Neglect radiation. Should I insulate my pipes? Justify your answer by calculating how long it will take for me to make up my investment in heat savings by assuming that it costs me0.05/kW hr to heat my water with wood during the winter.

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