For each of the situations described below, use an initial value problem to model the situation. Clearly define any variables and functions used. Do not solve the initial value problems. a. A 60kg ball is released from rest 3km above the Earth. Its drag force has a proportionality constant of 50. Model its velocity as a function of time. b. Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior temperature of 60°F. The building has a time constant of 4 hours. (Note: This is the time constant, not the constant of proportionality in Newton's Law.) The outdoor temperature fluctuates sinusoidally, reaching a maxmimum of 100°F at noon and a minimum of 60°F at midnight every day. Assume there are no heating or cooling effects on the build aside from Newton's Law of Cooling. Model the building's temperature as a function of time.

For each of the situations described below, use an initial value problem to model the situation. Clearly define any variables and functions used. Do not solve the initial value problems. a. A 60kg ball is released from rest 3km above the Earth. Its drag force has a proportionality constant of 50. Model its velocity as a function of time. b. Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior temperature of 60°F. The building has a time constant of 4 hours. (Note: This is the time constant, not the constant of proportionality in Newton's Law.) The outdoor temperature fluctuates sinusoidally, reaching a maxmimum of 100°F at noon and a minimum of 60°F at midnight every day. Assume there are no heating or cooling effects on the build aside from Newton's Law of Cooling. Model the building's temperature as a function of time.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.18P: The drag on an airplane wing in flight is known to be a function of the density of air (), the...

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