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The discussion focuses on calculating the time required for varnish, initially at 40°F, to reach the ideal application temperature of 68°F after being moved to a controlled environment at 74°F. After 2 hours, the varnish temperature increased to 58°F. Participants suggest using linear temperature change assumptions and Newton's Law of Heating and Cooling to derive the time needed for the varnish to reach 68°F. The calculations provided indicate that approximately 1.11 hours are needed to achieve the desired temperature.
PREREQUISITESStudents in precalculus, physics enthusiasts, and anyone interested in practical applications of temperature change calculations.
BrendanH said:A few questions for you:
1) What level of study are you at? (This will help the community identify what is likely the desired answer)
2) Were you given any other information in this problem?
The reason I ask is that, if one assumes that temperature change in this problem is linear, then the problem is straightforward. If you've learned calculus, this changes things.