Find the temperature u(x,t) in a laterally insulated copper bar 80 cm long if the initial temperature is 100sin(37x/80) and the ends are kept at 0°C. How long will it take for the maximum temperature of the in the bar to drop to at 50°C. Physical data for copper: density 8.92 g/cm³, specific heat 0.092 cal/(g °C), thermal conductivity 0.95 cal /(cm sec °C). 0°C 0 0°C x=L

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter1: Temperature And Heat
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Problem 96P: A warms transfers energy by conduction through its blubber at the rate of 150 W when immersed in ...
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Find the temperature u(x,t) in a laterally insulated copper bar 80 cm long if the initial
temperature is 100sin(37x/80) and the ends are kept at 0°C. How long will it take for the
maximum temperature of the in the bar to drop to at 50°C. Physical data for copper: density
8.92 g/cm³, specific heat 0.092 cal/(g °C), thermal conductivity 0.95 cal /(cm sec °C).
0°C
0
0°C
x=L
Transcribed Image Text:Find the temperature u(x,t) in a laterally insulated copper bar 80 cm long if the initial temperature is 100sin(37x/80) and the ends are kept at 0°C. How long will it take for the maximum temperature of the in the bar to drop to at 50°C. Physical data for copper: density 8.92 g/cm³, specific heat 0.092 cal/(g °C), thermal conductivity 0.95 cal /(cm sec °C). 0°C 0 0°C x=L
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