Root Final Temperature of the tube, tooth Change in temperature of the Tube, (tooth-trim) Experimental Coefficient of Linear Expansionary Actual Coefficient of Linear Expostulations Percentage Error Aluminum Tube 727 mm 98. 2 Q 26 C 1. 2 mm 9. 82 Q 83 57 C C C copper Tube 727 mm 92. 5 Q 27 CO.
Mm 10. 21 Q 80 53 C C C -5 2. 895 ex.-5/ 2. 380×10 / 21.
67% 2. 076 XII-5 / 1. 680 x 10 / 23. 59% Here is a picture of our group listing the data that we have gathered in the experiment Like what the theory in Linear Expansion states that generally, all materials expand when the temperature rises and shrinks as the temperature decreases.
The increase or decrease can occur to the length, area, and volume but since this experiment focuses on the one dimensional change, only the length dimension of the solid tubes is observed. Using the steam generated, we increased the temperature of the tubes until it reached a point where its temperature is stable. As you can see in the table 301 both of the tubes showed an increase in length after increasing its temperature. This is the picture of the steam generator giving of heat to the copper tube.
We used a rubber tubing to connect the steam it generates towboat aluminum and copper tubes.We used the formula= Lo a Otto compute for the coefficient of linear expansion, where Lo is the initial length, At is the change in temperature, AL is the change in length and a as the coefficient of linear expansion. Coefficient of linear expansion describes how an object will change its length. An object with a higher coefficient of linear expansion will show a greater change in length as for this experiment, both the actual and experimental values of the linear expansion efficient of Aluminum is higher compared to that of the Copper.
And since in this experiment, Aluminum tube increased its length greater than the Copper tube, we have proven that the logic about the linear coefficient is consistent. Aside from the linear expansion coefficient and change in temperature, we could also say that the initial length of the object is directly proportional to the change in length but since both of the initial length of metal tubes is the same and we only did one trial per metal tube, we cannot prove this experimentally.Since most of rotunda were directly recorded from the measuring instruments, ND we are confident enough to say that the computation of the linear expansion coefficient, change in temperature, and percentage error are correct, we assume that our mistake came from the acquired values from the measuring devices. As the table shows, the percentage errors of both trials are a bit above 20%. One of the reasons why it reached that high is because of the irregularity of the temperature of the surroundings.We had trouble measuring the exact temperature of both metal tubes because of our location which is in front of the Air conditioner. The temperature reading on the digital multi tester kept on paving up and down so we decided to just record the temperature where it was most steady.
Temperature is the most important factor in this experiment that’s why it greatly affected the experimental value of the linear expansion coefficient. Here are the main equipments that we used during the experiment.On the left is the steam generator, meter stick, rubber tubing, expansion base w/ gauge and theorist, digital multi tester, and the copper and aluminum tubes. CONCLUSION The change in temperature determines how the object will expand. We can say that the increase in temperature is directly proportional o the change in length.
The same can also be said in the coefficient of linear expansion because if the coefficient is greater, the change in length would also be greater.It has been proven that if we increase the temperature of a certain object, its length will increase and we could also say that the area and volume will increase as well because the increase in temperature can affect not only one dimensional expansion, but also throw three dimensional expansion as well. We have determined the experimental coefficient of linear expansion of the two metal rods by using the data we gathered and the formula:AL= Lo a At. We have also determined the factors affecting the change in length in thermal expansion such as the change in temperature, coefficient of linear expansion, and the initial length.With these two reaching, we have successfully fulfilled the objectives of this experiment.
We may not notice it but linear expansion theorem can be applied in our day to day lives. For example, in opening a bottle with a very tight cap, we can slightly heat up the cap to make it looser. It is also necessary to consider the materials linear expansion behavior in constructing structures such as rail roads, and mechanical parts like bearings and bushings.