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4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for the coffee temperature to reach 155°F after 5 minutes, what additional time is needed for the coffee to cool to 130°F?

4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for the coffee temperature to reach 155°F after 5 minutes, what additional time is needed for the coffee to cool to 130°F?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for the coffee temperature to reach 155°F after 5 minutes, what additional time is needed for the coffee to cool to 130°F? 5. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer reading reads 110°F after half-minute and after one minute 145°F. How hot is the oven? 6. At 2:00 pm. a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 pm. the temperature reading yielded by the thermometer is 42°F. Later, the thermometer is brought inside where the air is 80°F. At 2:10 pm. the reading is 71°F. When was the thermometer brought indoors?
Transcribed Image Text:4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for the coffee temperature to reach 155°F after 5 minutes, what additional time is needed for the coffee to cool to 130°F? 5. A thermometer reading 70°F is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer reading reads 110°F after half-minute and after one minute 145°F. How hot is the oven? 6. At 2:00 pm. a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 pm. the temperature reading yielded by the thermometer is 42°F. Later, the thermometer is brought inside where the air is 80°F. At 2:10 pm. the reading is 71°F. When was the thermometer brought indoors?
7. An inductance of 2 henry and a resistance of 10 ohms are connected in series with and electromotive force of 100 volts. Determine a) the current i as a function of time t b) what is the current at the end of 0.1 second? 8. A variable resistance R=n and a capacitance of Sal0ʻ farads are connected in series wit an electromotive force of 100 volts. If g(0) = 0 what is the charge on the capacitor afteri minute? 9. An inductance of 1 henry and a resistance of 2 ohms are connected in series with battery of 6e-.000 volt.. No current is flowing initially. When will the current measure 0.5 ampere? 10. A 600 gallons brine tank is to be cleared by piping in pure water at 1 gal/min., and allowing the well-stirred solution to flow out at the rate of 2 gal/min. If the tank initially contains 1500 pounds of salt, a) how much salt is lett in the tank after 1 hour? b) after 9 hours and 59 min?
Transcribed Image Text:7. An inductance of 2 henry and a resistance of 10 ohms are connected in series with and electromotive force of 100 volts. Determine a) the current i as a function of time t b) what is the current at the end of 0.1 second? 8. A variable resistance R=n and a capacitance of Sal0ʻ farads are connected in series wit an electromotive force of 100 volts. If g(0) = 0 what is the charge on the capacitor afteri minute? 9. An inductance of 1 henry and a resistance of 2 ohms are connected in series with battery of 6e-.000 volt.. No current is flowing initially. When will the current measure 0.5 ampere? 10. A 600 gallons brine tank is to be cleared by piping in pure water at 1 gal/min., and allowing the well-stirred solution to flow out at the rate of 2 gal/min. If the tank initially contains 1500 pounds of salt, a) how much salt is lett in the tank after 1 hour? b) after 9 hours and 59 min?
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