Analytical & Computational Methods Assignment No 2 of 3
Author Jamie Caulfield Assessor Engineering Team Internal Verifier Michael Lopez Verification Date 2nd April 2021
Week of Issue Due Week Date Submitted Agreed Resubmission Date Date Resubmitted 21 24
Please append your answers to the end of this brief. Include ALL pages of this brief in your submission. Do not submit separate documents unless requested. PLEASE NOTE: Provide a Table of Contents for your answers, indicating the page number for each of these. Please also provide inline references for your sources of information and a REFERENCES section at the end of the work, where appropriate, using the Harvard Referencing System.
Assessor feedback to Learner: – Formative/Summative Grade
Learner feedback to Assessor – Please tell us your thoughts about this assignment here: –
I certify that the evidence submitted for this assignment is my own. I have clearly referenced any sources used in the work. I understand that false declaration is a form of malpractice. Learner Email Address: Date:
I certify that the evidence submitted for this assignment is the learners own. The learner has clearly referenced any sources used in the work. I understand that false declaration is a form of malpractice. Assessor Signature: Date:
Note: All the above information should feature on the cover page.
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Submission Format You should submit: – A series of hand-written and/or word-processed responses for all the given tasks.
and Assessment Criteria Pass Merit Distinction
LO3: Use analytical and computational methods for solving problems by relating sinusoidal wave and vector functions to their
D2 Model the combination of sine waves graphically and analyse the variation in results between graphical and analytical methods.
P6 Solve engineering problems relating to sinusoidal functions.
M3 Use compound angle identities to separate waves into distinct component waves.
P7 Represent engineering quantities in vector form, and use appropriate methodology to determine engineering parameters.
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Unit Learning Outcomes LO3: Use analytical and computational methods for solving problems by relating sinusoidal wave and vector functions to their respective engineering application.
Assignment Brief and Guidance Scenario: You work as a technical analyst for a large publisher of . One of their well- known authors has set a number of further problems in her latest draft engineering text, aimed at the level four engineering market. She wishes to set these further problems throughout the text and intends to provide the worked solutions on a companion website for the new book. The author has asked you to provide these worked solutions. The further problems are given in the following tasks: – Task 1: Note: You need to have your calculator in radians (RAD) mode for this task (since the angles are given in radians – i.e. is featured).
a) A current waveform may be described by
is = 13 cos 2ft 4 [A]
where frequency, f = 1Hz and t represents time.
Make time (t) the subject of this formula and hence determine a point in time when the current waveform has a magnitude of +10A.
b) The instantaneous value of a power signal may be described by;
12 3 8 [W]
Find the magnitude of the vertical and horizontal components of this signal. Note that the symbol indicates angle. Task 2:
a) A resistor, R, is connected in series with an inductor, L. An a.c. current, , flows through this RL combination, causing a voltage () of 30V to be developed across the resistor, and a voltage () of 40V to be developed across the inductor. Assuming that is in-phase with , and leads by 90, draw a vector diagram for this arrangement and then calculate the magnitude of the resultant voltage across the whole RL combination.
b) A current-carrying filament is subjected to a strong magnetic field within an experimental chamber. It is required to find the force on the filament. The current may be modelled in three-dimensional space as:
= 2 + 3 4
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and the magnetic field as:
= 3 2 + 6
Find the Cross Product of these two vectors to ascertain the characteristics of the force on the filament (i.e. find ). Sketch this Cross Product (or use software to do so).
Task 3: PART 1 The two signals below are sensed by a signal processor;
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