Develop an analytic model with equations which describes the cooking process.List your assumptions and parameters– they must be reasonable.

Picture is a traditional method of roasting a whole lamb.
A motor turns the lamb. Assume the lamb weighs 30 pounds and will be cooked to 165F in the center of the meat.
For the spit method you are to:
1) Develop an analytic model with equations which describes the cooking process.
2) List your assumptions and parameters– they must be reasonable.
a. The height above the coals.
b. The internal temperature of the lamb
c. The dimensions of the cylinder used as a model for the lamb
d. The RPM of the motor.
3) Solve the equations and determine the following:
What is the surface temperature of the lamb if the center of the lamb’s meat  is 165F.

4) Write your results as an engineering report.
For the luau method you are to:
5) Develop an analytic model with equations which describes the cooking process.
6) List your assumptions and parameters– they must be reasonable.
e. The internal temperature of the lamb
f. The dimensions of the cylinder used as a model for the lamb .
7) Solve the equations and determine the following:
What is the surface temperature of the lamb if the center of the lamb’s meat is 165F.

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