Differentiation and integration on real world problem

Reference no: EM1317757

Application of differentiation and integration on real world problem.

During the summer the temperature inside a van reaches 55⁰C while that outside is a constant 35⁰C. When the driver gets into the van, she turns on the air conditioner with the themostat set to 16⁰C. If the time constant for the van is 1/K = 2 hr and that for the van with its air conditioning system is1/K₁ = 1/3 hr,When will the temperature inside the van reaches 27⁰C? Assume that the amount of cooling supplied is proportional to the difference in temperature and that K₁ = K+K_U. Graph the temperature inside the van as a function of time for the four-houe period following the time the driver turned on the air conditioning.

After she has driven for two hours, the driver discovers that her air conditioning has turned itself off. Graph the temperature inside the van as a function of time for the four-hour period following the time the driver turned on the air conditioning given that the air conditioning is only on for the first two hours.

Discuss the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Air conditioners fuel efficiency car

It help to identify the model perameters for the three problems below. If a paremeter is not involved in the problem, enter N/A, include units.

Reference no: EM1317757

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