Physics, 29.02.2020 04:59 needhelp243435
A brass rod 175.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with [infinity] 20°C and 30 W/m2·K. What is the temperature of the rod 43.75, 87.50, and 175.00 mm from the casting?
Answers: 1
= 200°C
![T_X =\frac{Cosh[m(L-X)]+(h/mk)Sinh[m(L-X)]}{Cosh(mL) +(h/mk)Sinh(mL)}](/tpl/images/0529/0998/7e695.png)
![T_{43.75} =\frac{Cosh[13.43(0.175-0.04375)] +(0.0168)Sinh[13.43(0.175-0.04375)]}{Cosh(13.43*0.175)+(0.0168)Sinh(13.43*0.175)} \\\\T_{43.75} = \frac{2.9999+0.0475}{5.2918+0.0875} = 0.5665](/tpl/images/0529/0998/7d7b2.png)
![T_{87.5} =\frac{Cosh[13.43(0.175-0.0875)] +(0.0168)Sinh[13.43(0.175-0.0875)]}{Cosh(13.43*0.175)+(0.0168)Sinh(13.43*0.175)} \\\\T_{87.5} = \frac{1.7735+0.0246}{5.2918+0.0875} = 0.3343](/tpl/images/0529/0998/6fad7.png)
![T_{175} =\frac{Cosh[13.43(0.175-0.175)] +(0.0168)Sinh[13.43(0.175-0.175)]}{Cosh(13.43*0.175)+(0.0168)Sinh(13.43*0.175)} \\\\T_{175} = \frac{1+0}{5.2918+0.0875} = 0.1859](/tpl/images/0529/0998/c6be2.png)
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A brass rod 175.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The...
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