Lab 1 - Measurement - Volume of the Library
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Measurement - Volume of the Library
Overview
The basic activity of any experiment is making measurements. Scientists make measurements to make new discoveries. Engineers make measurements to build things. Physicians make measurements to diagnose and treat people. Understanding what a measurement is and how to
make a measurement is central to the work many people do.
There are some crucial characteristics of measurements to keep in mind:
●
There is no such thing as an exact measurement. Every measurement has an error.
●
Error does NOT mean mistake. An error is the limitation of the measurement. A range of
values that the measurement is still valid.
●
Error IS a part of the measurement. You can MEASURE error!
Objectives
The objectives of this experiment are:
●
Practice how to design an experiment.
●
Make measurements.
●
Determine the error in the measurements.
●
Learn techniques of propagating error of the results. Part 1 - Experimental Design
What is the volume of the W.E.B. Du Bois Library? First, you will be designing a method to measure the volume of the library here on campus. When designing an experiment there are some basic questions you need to answer:
●
What is the model of the system (library) you are measuring? Meter stick
●
What physical quantities does a model have in common with the system?
Meter.
●
How will you measure these quantities?
By rotating the meter stick to measure.
●
What limitation (error) do you estimate in each of the measured quantities?
It might not be accurate and while I am rotating the meter stick, it might not rotate properly, causing the result to me longer or shorter.
University of Massachusetts - Amherst
Spring 2023
Physics Department
1/8
By Ktr101 - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?
curid=17831764
Now with your lab partner, design a method to measure the volume of the library. You may only
use a meter stick to measure the volume of the library. NOTE: You are not being graded on your accuracy. The variations from student to student is a
crucial part of this lab!
1.
Describe your methods of measuring the volume of the library. Include a picture or diagram of your method.
I used the meter stick, and measured how many meter sticks there were on the length and width through rotating the meter stick. I also counted the bricks of one floor, and measured the length of one brick.
Part 2 - Individual Measurement
Now you and your lab partner will go to the W.E.B. Du Bois Library to measure its volume. The only thing you will have to measure with is a meter stick. EACH STUDENT MUST MAKE THEIR OWN INDIVIDUAL MEASUREMENTS!
DO NOT SHARE YOUR MEASUREMENTS WITH ANYONE YET!
University of Massachusetts - Amherst
Spring 2023
Physics Department
2/8
WARNING: DO NOT ENTER THE FENCED IN SPACE AROUND THE LIBRARY!
THIS IS RESTRICTED SPACE!
2.
Is your method of measuring the library successful? Explain why or why not? If not, explain what new method to measure the volume of the library you used.
Yes. I was successful at finding the overall length and width. However, for the height, I used the added height of each floor excluding the concrete floors’ height.
3.
Record your INDIVIDUAL
measurements of the dimensions of the library. Include your estimate of the error (+/-) of each dimension.
Length (m)
Width (m)
Height (m)
33+/-0.2
33+/-0.2
63.7+/-10
4.
Calculate the volume of the library using the dimensions you measured. What do you estimate is the error (+/-) in your value of the volume? The error of an individual measurement is an estimate. It is your best judgment of the limit you are able to make a measurement.
Volume V (m)
73866.87+/-10000
Part 3 - Statistical Analysis - Lab Section Data
You and your sectionmates have just measured the dimensions of the library. You all measure the same library, but do you all have the same measurements? The answer is, of course, no. Even if everyone used the same method to measure the dimensions of the library, and even if they used the same meter stick, there still are differences in the values of the measurements. Those differences are the errors in the measurements. There are good measurements, bad measurements, great measurements, and measurements that need improvement. But there is no such thing as a right or wrong measurement. But we make measurements assuming there is a true value to the measurement. We cannot measure the true value, but we make a measurement of the best value. The best value is the value we believe is closest to the true value.
How do we determine the best value? If there is a true value to a measurement, some of the measurements you and your sectionmates made may be above the true value, while other measurements are below. The best value of a measurement, the value closest to the true value,
is the average of all the measurements made.
University of Massachusetts - Amherst
Spring 2023
Physics Department
3/8
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C. leas t del Niu
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