Experiment 4 the standing wave

Experiment 4 the standing wave

 

For this experiment we will be investigating and gain knowledge on the components of waves. We will be focusing our attention in standing waves and the properties of such physical phenomena

You can see manual for procedure of settings for a standing wave experiment.

In this experiment we will be creating a standing wave with our variable frequency wave driver

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 here are some images of how the experiment looks like

 

 

 

 

here is our measurments for the normal mode and firts several harmonics.These standing waves were created with a mass of 200 grams creating our tension in the string.



 

 as you can see in this illustration, we gave a reasonable  uncertainity for our measurments in order to have a reasonable uncertainty.



here is another picture of our measurments with their respective uncertainty. these standing waves were created with only 1/4 of the original mass. this 1/4 mass of the original is the cause of our tension in our string. we can also see that we also have the mas of our string and the lenght with the respective uncertainty in order to carry on with our calculations,

 

 case 1

1/wavelenght	frequency
0.253807107	22
0.510204082	44
0.766871166	59
1.020408163	77
1.282051282	97
1.538461538	120
1.694915254	130
2.040816327	170
2.325581395	190
2.702702703	200

here is the graph that represents the velocity

here is my calculated value for the velocity with Uncertainty

velocity obtained by the graph 77.24  velocity obtain by calculation 72.80 +-.48

 

case 2

1/ wavelength	frequency
0.267379679	10
0.757575758	24
1.041666667	39
1.282051282	50
1.515151515	59
1.818181818	70

velocity obtained by the graph 40.15  velocity obtain by calculation 35.92 +-.48 (the caculated value was obtain in the same format as the first calcutated value )

 

 

 

since mass of case 1 is 4 times greater, therefore my predictions were that the speed was going to be twice as much which happened to be true,

 

 

 

in conclusion we observe that as the mass increases we obtain a higher tension and this gives rise to a bigger velocity of the standing waves .