A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of the wood are 0.15 W/m K and 0.82 x 10-7 m²/s, respectively. a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the sudden increase in temperature.
A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of the wood are 0.15 W/m K and 0.82 x 10-7 m²/s, respectively. a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the sudden increase in temperature.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface
temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of
the wood are 0.15 W/m K and 0.82 x 10-7 m²/s, respectively.
a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the
sudden increase in temperature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98e59923-4435-47ce-8e16-4598fc3873f0%2Fbdab9d57-1a37-443e-9ab3-a2f1180ebe15%2Fxax3i2_processed.png&w=3840&q=75)
Transcribed Image Text:A wooden sphere of diameter 5 cm is initially at a uniform temperature of 21 °C. Its surface
temperature is suddenly raised to 83 °C. The thermal conductivity and thermal diffusivity of
the wood are 0.15 W/m K and 0.82 x 10-7 m²/s, respectively.
a) Calculate the temperature 2 cm beneath the surface of the sphere 30 min after the
sudden increase in temperature.
![b) Calculate the energy gained by the sphere during this time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98e59923-4435-47ce-8e16-4598fc3873f0%2Fbdab9d57-1a37-443e-9ab3-a2f1180ebe15%2Fbbbapcf_processed.png&w=3840&q=75)
Transcribed Image Text:b) Calculate the energy gained by the sphere during this time.
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