Newton's Law of Cooling The temperature, u, of a heated object at a given time t can be modeled by the equation u(t)=T + (wo-T)ekt where k < 0 is a constant, T is constant ambient temperature, and up is the initial temperature of the heated object. Suppose that an object has been heated to 90 degrees celsius and is then allowed to cool in a room that is kept at a constant 45 degrees celsius. If the temperature of the object is 73 degrees celsius after 8 minutes, when will its temperature be 58 degrees celsius? minutes.
Newton's Law of Cooling The temperature, u, of a heated object at a given time t can be modeled by the equation u(t)=T + (wo-T)ekt where k < 0 is a constant, T is constant ambient temperature, and up is the initial temperature of the heated object. Suppose that an object has been heated to 90 degrees celsius and is then allowed to cool in a room that is kept at a constant 45 degrees celsius. If the temperature of the object is 73 degrees celsius after 8 minutes, when will its temperature be 58 degrees celsius? minutes.
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Transcribed Image Text:Newton's Law of Cooling
The temperature, u, of a heated object at a given time t can be modeled by the equation
u(t) = T+ (uo - T)et
where k < 0 is a constant, T is constant ambient temperature, and up is the initial temperature of
the heated object.
Suppose that an object has been heated to 90 degrees celsius and is then allowed to cool in a
room that is kept at a constant 45 degrees celsius.
If the temperature of the object is 73 degrees celsius after 8 minutes, when will its temperature be
58 degrees celsius? minutes.
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