shape of a cylindrical tube with a length of 35.0 m and an inner radius of 2.50 m. Its walls are lined with an insulating material 6.00 cm in thickness and having a thermal conductivity of 4.00 × 10−5 cal/s ⋅ cm ⋅ °C. A heater must maintain the interior temperature at 25.0°C while the outside temperature is −35.0°C. What power must be supplied to the heater
The inside of a hollow cylinder is maintained at a temperature ??, and the outside
is at a lower temperature, ??. The wall of the cylinder has a thermal conductivity
?. Ignoring end effects, show that the rate of energy conduction from the inner
surface to the outer surface in the radial direction is
??/?? = 2??? [?? − ??/ ln(?/?)]
The passenger section of a jet airliner is in the shape of a cylindrical tube with a
length of 35.0 m and an inner radius of 2.50 m. Its walls are lined with an insulating material 6.00
cm in thickness and having a thermal conductivity of 4.00 × 10−5
cal/s ⋅ cm ⋅ °C. A heater must
maintain the interior temperature at 25.0°C while the outside temperature is −35.0°C. What power
must be supplied to the heater?
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