Problem

Using the Time Constant At noon, with the temperature in your house at 75°F and the outsid...

Using the Time Constant At noon, with the temperature in your house at 75°F and the outside temperature at 95°F, your air conditioner breaks down. Suppose that the time constant 1/k for your house is 4 hours.

(a) What will the temperature in your house be at 2:00 PM?

(b) When will the temperature in your house reach 80°F?

NOTE: Engineers often state problems in terms of the time constant 1/k, the reciprocal of the constant of proportionality in Newton’s Law of Cooling.

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Solutions For Problems in Chapter 2.4
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