8-March-2017 : Lab 6: Propagated uncertainty in measurements

Lab 6: Propagated uncertainty in measurements

Author: Tiancih Jiao

Lab Partners: Weisheng Zhang, Kitarou

Date: March 8, 2017

Purpose: Learn how to read vernier calipers and use it to measure the height and diameter, then find the propagated error.

Theory/Introduction:

In this lab, first we need to know how to read the vernier, then we use it to measure the height and diameter of each metal. Then we use the derivative to calculate the propagated error for my density measurements.

Summary of apparatus/experimental procedure: 

We used vernier to measure the height and diameter.

Professor showed how to read first:

Metal:

Measurement:

The calculation process:

Analysis: From the result of this lab, we can see the density of Al is about 2.713 to 2.771, and density of Zn is about 6.5973 to 6.8127, our result is close to acceptable value, but we also know that there is some human errors during measuring.

Conclusions: 

In this lab, we measured the height and diameter of two metals, then we use derivative to find out their densities. We can see the uncertain errors during this lab.