Versions Compared

Old Version 16

changes.mady.by.user Jana Ihrens

Saved on

compared with

New Version 17

changes.mady.by.user Jana Ihrens

Saved on

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Mathinline
body--uriencoded--Uncertainty propagation: u_y=\sqrt%7B\sum \limits_%7Bi%7Bj=1%7D%5e%7BN%7D (\cfrac%7B∂f(x_ij)%7D%7B∂x_i j )%7D ua_%7Bx_i%7Dj%7D)%5e2 %7D
(3)

A complete measurement result for a statistically determined quantity x is therefore

Mathinline
body--uriencoded--x=M_x \pm u_x = \bar%7Bx%7D \pm \sigma_x
with the measurand Mx and the uncertainty ux.

...

1.1.1 Measure the inner diameter of the o-ring using the caliper and the ruler. Note both values.

1.1.2 Which value is more exactcloser to the real value?

1.2 Find out, which of the two flat objects is thicker, has a higher thickness t, object A or B.

Drawio
bordertrue
viewerToolbartrue
fitWindowfalse
diagramNamethickness
simpleViewerfalse
width
diagramWidth358
revision2

Fig. 1: object A (left) and object B (right)

...

1.4.1 Measure every size of the cylinder that is needed to find the volume (use your values from task 1.3.1). What accuracy does your measuring instrument have?

1.4.2 Calculate the propagated uncertainty (using the accuracy as uvariable uncertainty ax) and supply a complete measurement of the volume (rounded to significant figures and including the uncertainty)! Use the equation given in the explanation 4.2.

...

For this, first calculate the standard deviation for each measured variable (d, l and w) and then use this as the uncertainty of the variable axj for the calculation of the propagated uncertainty.

1.5.3 Calculate the amount of beans that fit into the container (47 x 39 x 55 mm) you took them from.  Assume that there is no air in between the beans. Just consider the absolute volume of the container and the beans.

1.6 (creative) Find a way to measure the volume of a very irregular shape (e.g. your hand) and describe your steps.

...