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| For this experiment, it is not necessary to use your own laptop (other than to take notes). |
1. Context of the Experiment
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| body | --uriencoded--Average: x ̅\bar%7Bx%7D=\cfrac%7B1%7D%7BN%7D \sum \limits_%7Bi=1%7D%5e%7BN%7Dx_i=\cfrac%7Bx_1+x_2+x_3+⋯+x_N%7D%7BN%7D |
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(1)
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| body | --uriencoded--Uncertainty propagation: u_y=\sqrt%7B\sum \limits_%7Bj=1%7D%5e%7BN%7D \left(\cfrac%7B∂f(x_j)%7D%7B∂x_j )%7D j%7D a_%7Bx_j%7D\right)%5e2 %7D |
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(3)
A complete measurement result for a statistically determined quantity x is therefore
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| body | --uriencoded--x=M_x \pm u_x = \bar%7Bx%7D \pm \sigma_x |
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with the measurand M
x and the uncertainty u
x.
4.3 vernier caliper gauge
There are four three types of measurements that can be made with a vernier caliper gauge: Inside measurements, outside measurements and depth.
When the vernier caliper is closed, the scale should read exactly 0. To take a measurement of an inside dimension, the jaws of the caliper are now opened until they exactly cover the area to be measured. To measure an outside dimension, the caliper jaws are opened and then closed again until they touch the object. For measuring depths (e.g. drilled holes), the depth gauge at the end of the caliper can be used - the main element of the caliper is pressed against the higher surface and the depth gauge is positioned at the deepest point of the hole.
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