Valori sperimentali raccolti

Materiale utilizzato




Taking data

We prepared the basin spreading the lycopodium powder on water, then we dropped some oleic acid on it, we waited some seconds to make the spot stabilize, then we measured its area with various methods.

The entire experiment has been repeated two times.

During first experiment we obtained a spot with a strange shape, like this:

Prima misurazione

We measured the area of the two "branches" ("braccio" in the picture) with millimeter paper, and the area of the circle ("cerchio" in the picture) was measured by measuring its diameter with a meter (sensibility 0,1 cm); however, we had to this measuration from a big distance, so we used the maximum and minimum valor to calculate error.

Second misuration was taken reporting its shape on a lucid sheet and then on a millimeter paper. Then, we measured its area by counting the squares correspounding to 1/4 of a square centimeter. This is the shape of the spot:

Seconda misurazione

Obtained data is indicated here (S is the area of the spot, d is the diameter of the circle and V is the volume of the spot):

Data - I spot
Smin branch 1 55 · 0,25 cm2
Smax branch 1 65 · 0,25 cm2
Smin branch 2 35 · 0,25 cm2
Smax branch 2 45 · 0,25 cm2
dmin 5 cm2
dmax 6 cm2
V (0,21 ± 0,01) cm3
Data - II spot
Smin (64 + 100 · 0,25) cm2
Smax (64 + 125 · 0,25) cm2
V (0,20 ± 0,01) cm3

The mean valor between an interval of areas [val min ; val max] is taken as the most likely; its error is half the interval:

Superficie media

Semintervallo di superficie

The operation for the diameter is the same.

For the first spot, the area of the circle is calculated, then it is calculated the error:

Superficie del cerchio

Incertezza sulla superficie del cerchio

Superficie del cerchio arrotondata

The total area is the area of the branches plus the area of the circle.

Superficie totale

Incertezza sulla superficie totale

Superficie totale arrotondata

Remembering that we used a 1/10000 solution, the volume obtained is divided by 10000, and so is its error.

This is the data table:

Data - I spot
S (49 ± 6) cm2 = (4,9 ± 0,6) · 10-3 m2
V (0,21 ± 0,01) cm3 = (2,1 ± 0,1) · 10-11 m3
Data - II spot
S (92 ± 3) cm2 = (9,2 ± 0,3) · 10-3 m2
V (0,20 ± 0,01) cm3 = (2,0 ± 0,1) · 10-11 m3

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