$171$ Lab Group $-$ Lab $1$a Measurements

Member's Present

Samantha Granza

amanda sasso

Morgan Rocco

Sofia martinez

Team Questions: $($To be answered after lab competition.$)$

In using one of the lab micrometers a student reads exactly $1\mathrm{.}5cm.$ How should the measurement be reported to insure that the full precision of the measurement is retained?

a$.1\mathrm{.}5cm$

b$.1\mathrm{.}50cm$

b$.1\mathrm{.}500cm$

d$.1\mathrm{.}5000cm$

In the first portion of the lab you use a meter stick to measure the circumference and diameter of cylindrical objects and then calculated the ratio of these two measurements. The most common method of transmitting an estimate of the accuracy of you result is to use the significant digits approach. How many significant digits should you include in your ratio calculation using the smallest cylinder you measured? In your answer include the measurements of both the diameter and circumference as well as the ratio of C$/$D rounded to the appropriate number of significant digits for that situation.

Repeat question $2,$ using the date from your largest cylinder.

We happen to know that the ratio of $\frac{C}{D}$ for a circle should equal pie $(3\mathrm{.}14159)$ to $6$ significant digits. Your measurements are not perfect and are limited by the equipment you use and by your measurement procedures. Your measurements and ALL measurements have some amount of error. If your measurement using the large cylinder yielded a more accurate estimate $($more significant digits$)$ explain why using the same equipment and the same procedures can yield different accuracy on different objects.

${?}^1$ Each Lab member must sign their Full Name at time of execution of lab to receive credit.

$1$