Cooling Project Initial Thoughts: 1. How will the temperature of the beverage change the next hour? The temperature will decrease exponentially over the course of the next hour, though the outside factors such as material of cup, various of “room temperature”, and initial temperature of the actual liquid. 2. Assume we record the temperature of the beverage every minute during the hour. Will the changes in temperature be the same throughout the hour? If not, how will the changes in the first few minutes differ from the last few minutes? No, I don’t believe that they will be. Since it is anticipated to be an exponential decay, then it will start decreasing in temperature faster in the beginning and slow down as time goes on. 3. Speculate on how he changes in temperature from minute to minute may be related to the tempera- ture itself and the temperature of the room. The initial temperature of the liquid and the ambient temperature of the room will impact the cooling of the liquid. I think that the temperature of the room will act on the liquid by allowing the heat to dissipated until it reaches a temperature approximately equal to that of the room. Then I presume it won’t play too much of a role after that. The initial temperature will probably impact the rate at which the temperature decreases, because theoretically, without interference, an exponential decay will drop faster the higher the initial temperature. 4. If you take two temperature measurements, h seconds apart, and they differ by d degrees, what are the units of d h and what does this quantity represent? The units of d/h would be °(degrees)/seconds. The physical meaning of this quantity is a rate of change of degrees per unit time, which shows how temperature will be changing over time. Experiment: Procedure: Once the temperature sensor, resistor were connected correctly and then connected to the Raspberry Pi (Figure 1), the code was written and tested for a shorter interval of time. After verification of function, water was boiled and placed inside of a ceramic mug (Figure 2) and the probe was inserted and the program was started. Using the following code, the temperature of the cup was measure over an hour and 20 minutes. t={} RunScheduledTask[(deg=temp;AppendTo[t,deg]),{60,60}]
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Transcript
Cooling Project
Initial Thoughts:
1. How will the temperature of the beverage change the next hour?
The temperature will decrease exponentially over the course of the next hour, though the outside
factors such as material of cup, various of “room temperature”, and initial temperature of the actual
liquid.
2. Assume we record the temperature of the beverage every minute during the hour. Will the changes
in temperature be the same throughout the hour? If not, how will the changes in the first few minutes
differ from the last few minutes?
No, I don’t believe that they will be. Since it is anticipated to be an exponential decay, then it will start
decreasing in temperature faster in the beginning and slow down as time goes on.
3. Speculate on how he changes in temperature from minute to minute may be related to the tempera-
ture itself and the temperature of the room.
The initial temperature of the liquid and the ambient temperature of the room will impact the cooling of
the liquid. I think that the temperature of the room will act on the liquid by allowing the heat to dissipated
until it reaches a temperature approximately equal to that of the room. Then I presume it won’t play too
much of a role after that. The initial temperature will probably impact the rate at which the temperature
decreases, because theoretically, without interference, an exponential decay will drop faster the higher
the initial temperature.
4. If you take two temperature measurements, h seconds apart, and they differ by d degrees, what are
the units of dh and what does this quantity represent?
The units of d/h would be °(degrees)/seconds. The physical meaning of this quantity is a rate of change
of degrees per unit time, which shows how temperature will be changing over time.
Experiment:
Procedure:
Once the temperature sensor, resistor were connected correctly and then connected to the Raspberry
Pi (Figure 1), the code was written and tested for a shorter interval of time. After verification of function,
water was boiled and placed inside of a ceramic mug (Figure 2) and the probe was inserted and the
program was started. Using the following code, the temperature of the cup was measure over an hour