a) The strain measurement system discussed in Question 1 is susceptible to surrounding temperature. How can...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
a) The strain measurement system discussed in Question 1 is susceptible to surrounding temperature. How can the effect of surrounding temperature be avoided? Is the system above achieving that? Explain this, using equations of strain gauge resistance variation and output voltage from a Wheatstone bridge in Q1 b). [10 marks] b) Because the output signal from the bridge is not strong, you chose to use an amplifier circuit to amplify the signal as shown in Figure 4. Here, the amplification follows the equation below when R2/R1 = R./R3. R2 (V2 - V) =V, R2. Vamp = R1 Derive the equation to determine the strain e from Vamp, when the bridge is the same as in Q1 b) and assuming R1 R2/R1 = R4/R3 is satisfied. c) Now you want to use your experimental data below to estimate the strain measured when a certain constant load was applied. 1 2 3 4 Measurement Vamp [V] 9.8 9.7 9.9 10.1 10.3 10.2 Following the steps below, estimate the uncertainty expected in determining strain. The uncertainty of Vamp measurement is +2% and the resistances including their manufacturing tolerance are given R1 = 1 kn +1% and R2 = 400 kn +5%. Temperature dependency of the gauge can be ignored and the internal resistance of the meter can be assumed infinitely large. Uncertainty of the source voltage as well as that of gauge factor can be considered negligible. i) Calculate the uncertainty in Vamp measurement as an unbiased standard deviation. ii) Calculate the nominal strain e. iii) Calculate the uncertainty in %. iv) By looking through the RS-Component online catalogue below, discuss how much the uncertainty in calculation of strain can be improved by changing the resistors (make use of the filter function on the left of the page). https://uk.rs-online.com/web/c/passive-components/fixed-resistors/through-hole-fixed-resistors/?sra-p [20 marks] R From V, bridge R, Vamp Voo R + V2 R Figure 4. Amplifier circuit. a) The strain measurement system discussed in Question 1 is susceptible to surrounding temperature. How can the effect of surrounding temperature be avoided? Is the system above achieving that? Explain this, using equations of strain gauge resistance variation and output voltage from a Wheatstone bridge in Q1 b). [10 marks] b) Because the output signal from the bridge is not strong, you chose to use an amplifier circuit to amplify the signal as shown in Figure 4. Here, the amplification follows the equation below when R2/R1 = R./R3. R2 (V2 - V) =V, R2. Vamp = R1 Derive the equation to determine the strain e from Vamp, when the bridge is the same as in Q1 b) and assuming R1 R2/R1 = R4/R3 is satisfied. c) Now you want to use your experimental data below to estimate the strain measured when a certain constant load was applied. 1 2 3 4 Measurement Vamp [V] 9.8 9.7 9.9 10.1 10.3 10.2 Following the steps below, estimate the uncertainty expected in determining strain. The uncertainty of Vamp measurement is +2% and the resistances including their manufacturing tolerance are given R1 = 1 kn +1% and R2 = 400 kn +5%. Temperature dependency of the gauge can be ignored and the internal resistance of the meter can be assumed infinitely large. Uncertainty of the source voltage as well as that of gauge factor can be considered negligible. i) Calculate the uncertainty in Vamp measurement as an unbiased standard deviation. ii) Calculate the nominal strain e. iii) Calculate the uncertainty in %. iv) By looking through the RS-Component online catalogue below, discuss how much the uncertainty in calculation of strain can be improved by changing the resistors (make use of the filter function on the left of the page). https://uk.rs-online.com/web/c/passive-components/fixed-resistors/through-hole-fixed-resistors/?sra-p [20 marks] R From V, bridge R, Vamp Voo R + V2 R Figure 4. Amplifier circuit.
Expert Answer:
Related Book For
Real Estate Finance and Investments
ISBN: 978-0073377339
14th edition
Authors: William Brueggeman, Jeffrey Fisher
Posted Date:
Students also viewed these mechanical engineering questions
-
How can the effect of below-market rate loans on value be determined using investor criteria?
-
Briefly describe the difference between positive and normative economics. Paul Krugman, a noble prize-winning economist, is also a NY Times columnist. When writing for the paper, does Dr. Krugman...
-
The Wheatstone Bridge The circuit shown in Fig called a Wheatstone bridge. is used to determine !he value of an unknown resistor X by comparison with three resistors M, N, and P whose resistances can...
-
Marquis Company uses a weighted-average perpetual inventorysystem. August 2, 22 units were purchased at $3 per unit. August 18, 27 units were purchased at $5 per unit. August 29, 24 units were sold....
-
DuPont reported depreciation expense of $ 1,251 million on its consolidated financial statements for the period ended December 31, 2009. The following excerpt is taken from the company's consolidated...
-
Wyatt Oil owns a major oil refinery in Channelview, Texas. The refinery processes crude oil into valuable outputs in a two-stage process. First, it distills a barrel of crude oil at a variable cost...
-
Identify the most appropriate approach and then design. Provide a rationale as to why this approach and design would be most appropriate. Develop a hypothetical research scenario that would...
-
Clark Bell started a personal financial planning business when he accepted $36,000 cash as advance payment for managing the financial assets of a large estate. Bell agreed to manage the estate for a...
-
Consider the following ridiculously simple linear system: 10 (9)(2)-(0) a. What is the solution of this linear system? You don't have to show your work. b. Set up a Neumann iteration with initial...
-
Refer to the Cox Cable and Wire-Company case. In the role of Meredith, design a spreadsheet that will evaluate the profitability of any particular production and delivery schedule. a. Find a machine...
-
Describe the following i. Introduction to python ii. History of python iii. Need of python programming iv. Applications of python v. Python identifiers vi. Python keywords vii. Variables in python...
-
What would be the Viability if we export wood from canada to india?
-
Develop and elaborate a financial plan with short-term financial goals and a plan for a fresh graduate. You must identify and discuss the career choice of the fresh graduate. The plan must include...
-
When Ricardo was 9 years old, he was 56 inches tall. Ricardo is now 12 years old and he is 62 inches tall. Find the percent of increase in Ricardo's height to the nearest tenth
-
Assume that you plan to save $15,000 per year for the next 25 years. Using this financial resource, you wish to fund your retirement expenditure for exactly 20 years; and, assume that the annual...
-
What should you do if you have multiple personal commitments as well as study commitments?
-
Functions of the Budget The budget fulfils three main functions: To raise revenue to meet government expenditure The government of a country provides certain services such as administration, defence,...
-
Frontland Advertising creates, plans, and handles advertising campaigns in a three-state area. Recently, Frontland had to replace an inexperienced office worker in charge of bookkeeping because of...
-
What are the interest factors (IFs) in Exhibit 3-9? How are they developed? How may financial calculators be used to calculate IFs in Exhibit 3-9? Exhibit 3.9 Interest Factors for the Accumulation of...
-
How do you think expense stops and CPI adjustments in leases affect the riskiness of the lease from the lessors point of view?
-
Comprehensive Review Problem: A mortgage loan in the amount of $100,000 is made at 12 percent interest for 20 years. Payments are to be monthly in each part of this problem. a. What will monthly...
-
A Marist poll survey showed that 47% of respondents chose whatever as the most annoying phrase used in conversation. What is the probability of randomly selecting someone choosing something different...
-
According to the National Association for College Admissions Counseling and USA Today, 19.8% of college students take at least one class online. What is the probability of randomly selecting a...
-
Let R be the event of randomly selecting a senator and getting a Republican, and let D represent the event of randomly selecting a second different senator and getting a Democrat. Use words to...
Study smarter with the SolutionInn App