1. A thermometer reading 10°C is brought into a room where the temperature is 32°C. Two minutes later the thermometer reading is 15°C. Determine the temperature

Elementary Algebra
17th Edition
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter1: Foundations
Section1.10: Systems Of Measurement
Problem 911E: Some people think that 65°to75° Fahrenheit is the ideal temperature range. (a) What is your ideal...
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1. A themometer reading 10°C is brought into a room where the temperature is 32°C.
Two minutes later the thermometer reading is 15°C. Determine the temperature
reading 5 minutes after the thermometer is first brought into the room.
Transcribed Image Text:1. A themometer reading 10°C is brought into a room where the temperature is 32°C. Two minutes later the thermometer reading is 15°C. Determine the temperature reading 5 minutes after the thermometer is first brought into the room.
The differential equations corresponding to Newton's Law of Cooling are:
For a body being cooled,
dup
-k(up – Um)
— еqп. 1
dt
For a body being heated,
dup
+k(um – Up)
dt
→ egn. 2
Transcribed Image Text:The differential equations corresponding to Newton's Law of Cooling are: For a body being cooled, dup -k(up – Um) — еqп. 1 dt For a body being heated, dup +k(um – Up) dt → egn. 2
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