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M o d e l   N o .   T D - 8 5 1 3

  E x p e r i m e n t   # 1 :   H e a t   C o n d u c t i o n

7

B. Heat Pulse

Set-up

1.

Set the switch to HEAT and place the insulators over the bars. 

2.

In DataStudio, set the sampling rate of the Temperature Array to 2 Hz. Set up a 
graph display to show the temperatures measured by both thermistors in the wide 
brass bar (T1 and T2).

3.

Collect a test run of data to make sure that all four bars are all at room tempera-
ture. Delete the data.

Procedure

1.

Set the power supply to 5 volts (constant DC) and start recording in DataStudio. 
Wait until the “close” temperature (measured by T2) reaches about 40 °C. 

2

2.

Change the switch to the COOL position and start timing with a clock or stop-
watch. Change the switch every 30 seconds. In this way the end of the bar is 
alternately heated and cooled with a period of 60 s.

3.

Continue for several minutes until the temperature wave at each thermistor has 
stabilized with a constant amplitude. 

4.

Stop data recording and set the power supply to 0 V. 

3

Analysis

1.

Observe the shape of the two waves (it helps to zoom in on the last few cycles). 
What is the shape of the wave that you applied to the bar by switching between 
heating and cooling? What is the shape of this wave when it reaches the close 
thermistor (T2)? How has it changed when it reaches the far thermistor (T1)?

2.

Notice that there is a time lag between the two waves. What causes this? Measure 
the time lag. How is the time lag related to the distance between the thermistors?

3.

Why is there an amplitude change between the two waves? Are these really two 
different waves?

4.

Create a new graph showing data collected by the thermistors in the aluminum 
bar (T5 and T6). Repeat analysis steps 1 through 3 for the aluminum bar.

5.

Compare the shape of the waves in the aluminum and brass bars. Why are they 
different? Compare the amplitude of the waves. Which material is the better con-
ductor?

6.

Compare the time lags in the aluminum and brass bars? What does this tell you 
about the speed of the pulse in each bar?

C. Heat Waves

Theory

In this part, the power supply will apply a triangle wave voltage to the Peltier device. 
This heating and cooling of one end of each bar causes a thermal wave to travel down 
the bar. The wave on each bar is measured by two thermistors. You will investigate 
the relationship between wave speed, period, and wavelength.

2

You can decrease the 

wait time by applying a 
higher voltage (8 V), but 
reduce the voltage back 
to 5 V before the temper-
ature reaches 40

o

C.

3

If you are going to do 

part C of this lab, set the 
power supply now. This 
will allow the system to 
come to equilibrium while 
you perform the follow-
ing analysis. See the 
Set-up section for part C 
below.

Summary of Contents for TD-8513

Page 1: ...Heat Conduction Apparatus TD 8513 Instruction Manual 012 09189A...

Page 2: ...Apparatus Table of Contents Contents Introduction 3 Connections 4 Safety 4 Specifications 4 Material Properties 4 Experiment 1 Heat Conduction 5 Experiment 2 Angstrom s Method 9 Sample Data 13 Techni...

Page 3: ...embedded thermistors are labeled T1 through T8 these labels correspond to the Temperature Array channels 1 through 8 on which data is collected The lines printed on the board indicate the lateral pos...

Page 4: ...power supply connected to the red input port and the negative terminal connected to the black input port Set the voltage to zero Safety The Peltier device and metal bars can be hot Do not touch them w...

Page 5: ...mistors embedded in each bar their positions are marked by the white lines on the board 5 Make a drawing showing the layout of the apparatus including the Peltier device the four bars and the thermist...

Page 6: ...similar calculations for the other three bars be sure to subtract the far temperature from the close temperature Display all four calculations in a graph Which bar has the largest T Which bar has the...

Page 7: ...2 How has it changed when it reaches the far thermistor T1 2 Notice that there is a time lag between the two waves What causes this Measure the time lag How is the time lag related to the distance bet...

Page 8: ...The speed of any wave is related to its frequency and wavelength by Calculate the wavelength of this wave How does compare to the length of the entire bar 5 Create another graph showing temperatures...

Page 9: ...ors embedded in each bar their positions are marked by the white lines on the board 6 Make a drawing showing the layout of the apparatus including the Peltier device the four bars and the thermistors...

Page 10: ...ay t between the two waves is measured directly The relative phase is calculated using where Tn is the period of the harmonic Thus Combining these four equations yields Note that is independent of the...

Page 11: ...e driving wave stop record ing 3 On the graph measure the amplitudes of both waves Ac and Af and the time dif ference between corresponding peaks of the two waves t Make a copy of the table below and...

Page 12: ...nty for all data runs and compare your answer to the accepted value of k for aluminum B Brass Record two more data runs with a 50 second triangle wave so that you have a total of five Repeat the analy...

Page 13: ...ws the pulse arriving at the close thermistor 5 2 s before the far thermistor The distance between the ther mistors is 30 mm The pulse speed is 30 mm 5 2 s 5 8 mm s The temperature differences between...

Page 14: ...shows the temperatures increasing with the switch set to HEAT before the switch starts alternating The apparatus is driven with a square wave At the first close thermistor upper trace on the graph the...

Page 15: ...A Aluminum B Brass Wide brass bar Period s Ac Af t k W m K Average k W m K 30 0 671 0 206 5 38 165 172 0 673 0 214 5 22 174 0 673 0 219 5 28 176 40 0 912 0 341 6 21 171 166 0 909 0 339 6 28 169 0 903...

Page 16: ...Af t k W m K Average k W m K 50 0 578 0 142 10 2 103 102 0 599 0 150 9 9 108 0 571 0 142 10 8 98 0 577 0 147 10 8 100 0 589 0 151 10 5 103 Period s Ac Af t k W m K Average k W m K 100 0 800 0 051 37...

Page 17: ...classrooms and are not sold for profit Reproduction under any other circumstances without the written con sent of PASCO scientific is prohibited Trademarks PASCO PASCO scientific DataStudio and PASPO...

Page 18: ......

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