Biology

Biology, 27.06.2019 09:40, Mofurd

The temperature of a animal changes with the temperature of the surroundings

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Physics, 03.07.2019 02:30, kels7618

Newton's law of cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. this can be modeled by the differential equation d t d t = k ( t − a ) dtdt=k(t-a), where t t is the temperature of the object after t t units of time have passed, a a is the ambient temperature of the object's surroundings, and k k is a constant of proportionality. suppose that a cup of coffee begins at 178 178 degrees and, after sitting in room temperature of 70 70 degrees for 13 13 minutes, the coffee reaches 172 172 degrees. how long will it take before the coffee reaches 157 157 degrees?

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Mathematics, 06.07.2019 18:30, solizpaco7124

We take a milk carton from the refrigerator and put it on the table at room temperature. we assume that the temperature of the carton, t, as a function of time follows newton's cooling law: dt / dt = k (t - a), where a is the temperature of the surroundings and k is a constant. we assume the temperature the surroundings are a = 20 (given in ◦c), and that t (0) = 4 (given in ◦c). a) show that t (t) = 20 - 16e ^ kt (given in ◦c). b) after 5 minutes the temperature of the carton is 8◦c. what is the temperature after 15 minutes?

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Mathematics, 20.09.2019 05:20, danielapenaoypgns

Newton’s law of cooling states that the temperature of an object changes at a rate proportionalto the difference between the temperature of the object itself and the temperatureof its surroundings (the ambient air temperature in most cases). suppose that the ambienttemperature is 70◦f and that the rate constant is 0.05 (min)−1.write a differential equationfor the temperature of the object at any time. note that the differential equation is thesame whether the temperature of the object is above or below the ambient temperature.

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