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A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute later, the thermometer reading is 31°F. Find the temperature reading 5 minutes after it was brought into the room. At what time will the temperature reading be 67.8°F? Hint: cooling:=-k(T - Tm); heating: = k(Tm − 7); temp at time t: T = Tm + (To − Tm) e-kt

A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute later, the thermometer reading is 31°F. Find the temperature reading 5 minutes after it was brought into the room. At what time will the temperature reading be 67.8°F? Hint: cooling:=-k(T - Tm); heating: = k(Tm − 7); temp at time t: T = Tm + (To − Tm) e-kt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute later, the thermometer reading is 31°F. Find the temperature reading 5 minutes after it was brought into the room. At what time will the temperature reading be 67.8°F? dT Hint: cooling:=-k(T — Tm); heating: =k(Tm-T); temp at time t: T = Tm+(To-Tm) e-kt dt
Transcribed Image Text:2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute later, the thermometer reading is 31°F. Find the temperature reading 5 minutes after it was brought into the room. At what time will the temperature reading be 67.8°F? dT Hint: cooling:=-k(T — Tm); heating: =k(Tm-T); temp at time t: T = Tm+(To-Tm) e-kt dt
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