A steel bar is heated in a furnace until it reaches 2000°F. The blacksmith observes that it cools to 1500°F in 15 minutes. It needs to be hammered into shape before it gets within 500°F of the room temperature (100°F) before it gets too cold to be shaped properly. After pulling out the steel bar from the furnace, how long does the blacksmith have before it needs to be reheated? Assume that Newton's law of cooling is applicable. O 101.8 min O 76.5 min O 56.6 min O 65.6 min

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
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A steel bar is heated in a furnace until it reaches 2000°F. The blacksmith observes that it cools to 1500°F in 15 minutes. It needs to be hammered into shape
before it gets within 500°F of the room temperature (100°F) before it gets too cold to be shaped properly. After pulling out the steel bar from the furnace, how
long does the blacksmith have before it needs to be reheated? Assume that Newton's law of cooling is applicable.
101.8 min
76.5 min
56.6 min
O 65.6 min
Transcribed Image Text:A steel bar is heated in a furnace until it reaches 2000°F. The blacksmith observes that it cools to 1500°F in 15 minutes. It needs to be hammered into shape before it gets within 500°F of the room temperature (100°F) before it gets too cold to be shaped properly. After pulling out the steel bar from the furnace, how long does the blacksmith have before it needs to be reheated? Assume that Newton's law of cooling is applicable. 101.8 min 76.5 min 56.6 min O 65.6 min
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