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Grace [21]
3 years ago
10

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Answer:

F(t)=Ts+(T0-Ts)^{e-0.2t

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

F(t)=Ts+(T0-Ts)^{e-kt

Where

F( t )  is the temperature of the object at a given time  t

T s is the surrounding temperature

T 0  is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

F(t)=Ts+(T0-Ts)^{e-0.2t

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