Propagated uncertainty in measurements Sept 7

Propagated uncertainty in measurements

Carlos H., Dhalia T., Ariel D.

9-7-16

In this lab we will be finding and putting to the test our skills on propagated uncertainty, the test objects will be 2 cylinders.

First we were given an explanation on how to use a caliper and use it for maximum accuracy. Once we learned. We choose 2 metal cylinders. We measured its Diameter, length, and mass for both of them. Ofcoarse measuring objects have their tolerance levels . The caliper measured to a +- .01 while the mass scale measured to a +- .1. We then used the Density equation which can be seen in the picture above , above the metals. Once plugging in our numbers we will start to solve for the uncertainty as we knew how. We solved for the partial derivatives and solved for the 3 variables. we squared them , added them and square rooted the result. The result gave us the uncertainty . solving for the equation gave us our density . Here is the work and how we solved for the uncertainty. 

In conclusion this lab helped us understand how to find uncertainty when measuring objects, and the importance of taking uncertainty into account. Cheers