- Sample Fermi ProblemsI learned that Fermi problems require a person to solve a variety of real life issues without all the information needed to find an accurate answer.Fermi problems are used to estimate reasonable answers.Ex) How many feet of steel were used to construct the Eiffel Tower?
- General Hints for Estimation-Determine accuracy required (orders of magnitude; factors of 10)-Ballpark is usually good enough-Is it comparably better to err on the high or low side?-Do not worry about minor effects.Estimation is used to find unknown, hard to measure, and inconvenient-to-obtain values.
- Estimation by AnalogyAnalogies are based on comparison measures.Ex) My chicken pot pie is the size of a softball.
- Estimation by AggregationIn order to estimate by aggregation, I have to add up the sum of an item's parts.Ex) The area of an oddly shaped garden. Divide the garden into easily calculated portions and then add up the sums.
- Estimation by Upper & Lower BoundsThis is based on determining "conservative estimates" or "worst-case scenarios."Ex) Estimating the amount of food for a party. Estimate the highest number of people that could come and base your food purchase of of that number (Upper bound).
- Estimation by ModelingUsed to calculate and grasp the meaning of mathematical models and statistics.Ex from the book) "Given a large sample, its average and standard deviation can be calculated. Assuming that the length of sunflower seeds is normally distributed, the one-in-a-billion largest sunflower seed would be expected to be six standard deviations greater than the sample average."
Personal reaction: I don't really understand this example or the concept, at least not as fully as I would like to. I was hoping to ask some questions about estimation by modeling. - Significant FiguresSignificant figures are composed of digits that can be thought of as reliable in a calculation.All non-zero digits are considered significant and zeroes are considered significant in different conditions.Don't round while calculating or you will diminish the reliability of your final answer.
- ReasonablenessTwo types:
Physical
-Answer needs to make sense in the physical world
-Convert your solution to familiar units
Ex) decigrams/gallons to grams/liters
-Consider models in very large/small values to test they're applications compared to the sense of the problem
Reasonably Precise
-Accuracy: How close is the measured value to the actual value?
-Error: Difference between measured value and actual value; due to inadequate equipment, improper techniques, and environmental conditions
-Repeatability: how close a variety of measurements are to one another without respect to the actual value
- Precision combines accuracy and repeatability
-The more sig. figs, the more precise a measurement is if the value is accurate
Ex:
Source: http://blog.robotiq.com/?Tag=robotic+industrial+application
Note: "You should report values in engineering calculations in a way that does not imply a higher level of accuracy than is know."
Basically, 2-4 significant figures is sufficient for most calculations. - Precision vs. Accuracy (summarized above)
- Engineering Notation vs. Scientific Notation
Scientific NotationTypically expressed: #.### x 10^NN= how many places away from the decimal the first significant figure isUsed to simplify a number whose first significant digit is far from the decimal point
Engineering Notation
Typically expressed: ###.### x 10^MM= a multiple of 3
- Calculator E-Notation
Letter “E” used to represent scientific/engineering notation on a calculatorMeans “times 10 raised to the ____”Ex) 3.7 E 9 = 3700000000 = 3.7 x 10^9Use exponential notation for numbers greater than 10,000 and less than 0.0001
- Fractions vs. Constants
Preferred format for answers in engineering: constants/decimals (including symbols)Two reasons:-It is difficult to instantly recognize the value of afraction Ex) 689/4-Precision is usually kept to 3-4 digits
Monday, January 26, 2015
Notes from Chapter 5, Thinking Like an Engineer
For this assignment, we were asked to read Chapter 5 and summarize what we learned about the following topics:
Wednesday, January 21, 2015
Share A Tree
Share A Tree
Last week Mrs. Vestal asked us to complete an assignment in Google Docs and post it online. Everyone's responses are located on one document. The link above takes you to the Share A Tree assignment.
Last week Mrs. Vestal asked us to complete an assignment in Google Docs and post it online. Everyone's responses are located on one document. The link above takes you to the Share A Tree assignment.
Wednesday, January 14, 2015
Day 2 EGR 150
Today is Day 2 of EGR 150 Introduction to Engineering. We started by assisting one another is overcoming technical difficulties in setting up our personal computers and connecting them to the local network. We also discussed our objectives for this week as outlined on our Week 1 Agenda. We gained access to and discussed our course resource page and course syllabus, which we are required to comment on over the next week. Mrs. Vestal hopes to take our comments into consideration as she creates future course outlines/syllabi. Next, we forged a new path as each student created a Gmail account for this course and created a blog (this blog) to accompany that email address. Throughout the semester, our blog will serve as a record of our daily activities, assignments, experiences, and discussions. This week, Mrs. Vestal has asked us to read Chapter 12 of A Guide to Writing as an Engineer to help us grasp the "adventure" that is maintaining a blog. We are also tasked with signing up for our online engineering lab and creating a google document:"Share a Tree" assignment. Mrs. Vestal shared with us today that we might be taking a field trip to see a 3D printer this semester. I saw a 3D printer at a business conference once. I wonder if 3D printers will revolutionize online shopping? What if 3D printers became a normal household appliance that linked up to Amazon or the Internet and produced the items we bought virtually? Companies would no longer need to ship items thousands of miles. Of course, this is a hypothetical situation, but it would be really awesome!
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