DOC

assignmen1t-FurtherAnalyticalMethodsforEngineers

By Eleanor Sims,2014-05-21 03:52
8 views 0
engineers methods teaching methods methods mol biol nature methods analytical methods cooking methods plant methods numerical methods webmethods

    Faculty of Electronic Information

EDEXCEL Centre Number 77898

    EDEXCEL Course Programme Number- K8745

    Course Title HND Electrical & Electronic Engineering

    Unit Title Further Analytical Methods for Engineers Unit No 19

    Assessment Title

    Solution of Problems of number systems

    using vector geometry and matrix methods

    Student Name: Assessor:

    st Academic Year: Semester: 1 TERM

    Issue Date: Hand in Date:

    Grading Criteria

    P1.1 P1.2 P1.3 P1.4 P1.5 P3.1 P3.2 P3.3 M1 M2 M3 D1 D2 D3 Criteria

    Targeted Criteria

     Criteria

    Achieved

    NOTES TO STUDENTS

    ? Check carefully the submission date and the instruction given with the assignment. Late assignment will not be accepted.

    ? Ensure that you give yourself enough time to complete the assignment by the due date. ? Do not leave things such as printing to the last minute-excuses of this nature will not be accepted for failure to hand- in the work on time.

    ? You will must take responsibility for managing your own time effectively. ? If you are unable to hand in your assignment on time and have valid reasons such as illness, you may apply (in writing) for an extension.

    ? Failure to achieve a PASS grade will results in a REFERRAL grade being given. ? Take great care that if you use other people’s work or ideas in your assignment, you properly reference them in your text and any bibliography (please refer to the CITING AND

    REFERENCING IN THE HARVARD STYLE).

    ? NOTE: If you are caught plagiarising, you could have your grade reduced to zero, or at worst, you could be excluded from the course.

    Assessor Feedback

Internal Verification Feedback

    Course Title HND Electrical & Electronic Engineering Faculty of Electronic Information Unit 19 Further Analytical Methods for Engineers Assignment 1: Solution of Problems of number systems and using vector

    geometry and matrix methods

    Learner’s Name:

     Outcome1 Solution of

     Problems of number systems

    P1.1 Use estimation techniques

    and error arithmetic to establish

    realistic results from experiment.

    P1.2 Convert number systems from one base to another, and

    apply the binary number system to logic circuits.

    P1.3 Perform arithmetic

    operations using complex

    numbers in Cartesian and polar form.

    P1.4 Determine the powers and roots of complex numbers

    using De Moivre’s theorem.

    P1.5 Apply complex number

    theory to the solution of

    engineering problems when appropriate

Outcome2 using vector

    geometry and matrix

    methods

    P3.1 Represent force systems, motion parameters and wave

    forms as vectors and determine required engineering parameters using analytical and graphical

    method.

    P3.2 Represent linear vector equations in matrix form and

    solve the system of linear equations using Gaussian

    elimination.

    P3.3 Use vector geometry to model and solve appropriate

    engineering problems.

     Merit

     M1.1 Effective judgments have been made

    M1.2 Complex problems with more than one variable have been

    explored

    M2.7 Appropriate learning methods/techniques have been

    applied

    M3.1 Appropriate structure and approach has been used

     Distinction

     D1.4 Realistic improvements

    have been proposed against defined characteristics for success

    D2.2 Substantial activities, projects or investigations have been planned, managed and organised

    D2.3 Activities have been managed

    D2.4 The unforeseen has been accommodated

    D3.3 Convergent and lateral thinking have been applied

    D3.4 Problems have been solved

    D3.7 Effective thinking has taken place in unfamiliar context

Task1[P1.1]

    The specific resistance of some copper wire of nominal diameter 1mm is estimated by

    determining the resistance of 6 samples of the wire. The resistance values found (in

    ohms per metre ) were:

    2.16, 2.14, 2.17, 2.15, 2.16 and 2.18 Compute the mean of the resistance value, standard deviation, and determine the 95%

    confidence interval for the true specific resistance of the wire.

Task 2[P1.2]

    a: Convert

    (1) 5F into its decimal equivalent 16

    (2) 132 into its hexadecimal equivalent 10

    (3) 110101011 into its hexadecimal equivalent 2

    b: simplify the Boolean expressions given and devise logic circuits to give the

    requirements of the simplified expressions.

     1 P~Q~RP~Q~RP~Q~R

    (P~Q~R)~(PQ~R) 2

Task 3[P1.3]

    1Evaluate in Cartesian form (1+j2)(-5-j)

    2Determine, in polar form ;;;;5304801040

Task 4[P1.4/M1.1]

    Determine, using De Moivre’s theorem:

    16;;41.515(1) (2) ;;2j

Task 5 [P1.5/M3.1]

    Two impedances, Z1 =(2+j7) ohms and Z2 =(3?j4) ohms, are connected in series to a

    ?supply voltage V of 150?0V. Determine the magnitude of the current I and its phase

    angle relative to the voltage.

Task 6 [P3.1]

    aFour coplanar forces act at a point A as shown in the following figure. Determine the value and

    direction of the resultant force by (a) drawing (b) by calculation.

    b The instantaneous values of two alternating voltages are given by:

     volts and volts v150sin((t/3)v90sin((t/6)12

    Plot the two voltages on the same axes to scales of 1cm=50 volts and 1rad. cm6

    Rsin((t)Obtain a sinusoidal expression for the resultant in the form : vv12

    (a) by adding ordinates at intervals and (b) by calculation

Task7[P3.2]

    The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star-connected, electrical network are as follows:

    III2.43.64.81.2?123?III 3.91.36.52.6?123

    ?III1.711.98.50123?

    Using Gaussian elimination, solve the equations for I, Iand I. 12 3

Task8[P3.3/M1.1]

    i+j +7k)Nwhen its point of application a: Calculate the work done by a force F=(?5

    moves from point (?2i?6j +k)m to the point (i?j +10k) m.

    b: A force of (2i?j +k) newtons acts on a line through point P having co-ordinates (0, 3, 1) metres. Determine the moment vector and its magnitude about point Q having co-ordinates (4, 0, ?1) metres.

Task 9 [M1.2/M2.7]

    If Z1 =2+ j5, Z2 =1?j3 and Z3 =4?j determine, in both Cartesian and polar forms, the

    Z1Z2value of, correct to 2 decimal places. Z3Z1Z2

Task10 [D1.4/D3.3/D3.4/D3.7]

    Create a spreadsheet to solute the linear simultaneous equations. The spreadsheet can accept the coefficients of equations, then solute the equations using Cramer’s rule or

    Gaussian elimination.

Task 11 [D2.2/D2.3/D2.4]

    Submit your assignment on time and ensure that it is presented in task order and adheres to any instructions given. Indicate which tasks you found to be most difficult and elaborate on how any difficulties were overcome.

    Generic Merit Descriptors

    M1 Identify and apply strategies to find appropriate solutions.

    M1.1 Effective judgments have been made

    M1.2 Complex problems with more than one variable have been explored

    M1.3 An effective approach to study and research has been applied

    M2 Select/design and apply appropriate methods/techniques

    M2.1 Relevant theories and techniques have been applied

    M2.2 A range of methods and techniques have been applied

    M2.3 A range of sources of information has been used

    M2.4 The selection of methods and techniques/sources has been justified

    M2.5 The design of methods/techniques has been justified

    M2.6 Complex information/data has been synthesised and processed

    M2.7 Appropriate learning methods/techniques have been applied

    M3 Present and communicate appropriate findings

    M3.1 Appropriate structure and approach has been used

    M3.2 Coherent, logical development of principles/concepts for the intended audience

    M3.3 A range of methods of presentation have been used and

    M3.4 Technical language has been accurately used

    M3.5 Communication has taken place in familiar and unfamiliar contexts

    M3.6 The communication is appropriate for familiar and

    M3.7 Unfamiliar audiences and appropriate media have been used

    Generic Distinction Descriptors

    D1 Use critical reflection to evaluate own work and justify valid conclusions

    D1.1 Conclusions have been arrived at through synthesis of ideas and have been justified

    D1.2 The validity of results has been evaluated using defined criteria

    D1.3 Self-criticism of approach has taken place

    D1.4 Realistic improvements have been proposed against defined characteristics for success

    D2 Take responsibility for managing and organizing activities

    D2.1 Autonomy/independence has been demonstrated

    D2.2 Substantial activities, projects or investigations have been planned,

    managed and organised

    D2.3 Activities have been managed

    D2.4 The unforeseen has been accommodated

    D2.5 The importance of interdependence has been recognised and achieved

    D3 Demonstrate convergent/lateral/creative thinking

    D3.1 Ideas have been generated and decisions taken

    D3.2 Self-evaluation has taken place

    D3.3 Convergent and lateral thinking have been applied

    D3.4 Problems have been solved

    D3.5 Innovation and creative thought have been applied

    D3.6 Receptiveness to new ideas is evident

    D3.7 Effective thinking has taken place in unfamiliar contexts

Report this document

For any questions or suggestions please email
cust-service@docsford.com