Use Simulink to model the problem.

D. An airplane engine runs at a temperature of 2550 F. When the engine is turned off, it cools according to Newtons Law of Cooling with constant = 0.0041 1 , where the time is measured in seconds and ambient temperature is 65 F (Input). Newtons law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature), =() where = the temperature of the body (F), = time (sec), = the proportionality (cooling) constant (per sec), and = the ambient temperature (F).

Part-1: Use Simulink to determine the temperature of the engine after 10 minutes (600 seconds).

Part-2: If you have the option to change the engine casing material as well as the cooling system so that the cooling constant can be improved, what cooling constant would you like to use so that the engine temperature cools down to 100 F within 10 minutes. [Note that lowering the cooling constant value will increase the material/system price. So, choose a value using Simulink (trial and error) that is cost-effective and can lower the temperature just below 100 F within 10 minutes.]