Not 100% if 10 pages is right just an estimate.
Assessment Brief Student Name/ID Number Course BTEC HNC in Mechanical/General/Manufacturing and Electrical and Electronic Engineering Unit Number and Title 2: Engineering Maths Academic Year 2019/2020 Unit Tutor Houda Biaz Assignment Title Analyse engineering data and solve engineering problems Issue Date 21 August 2020 Submission Date 21 October 2020 IV Name & Date Allocation of time to complete assignment Assignment will be completed outside of class. Estimated time for completion of the assignment is 15 hours. Submission Format This is a problem based assessment. To evidence that you have met the criteria you must present a series of handwritten or word-processed responses which: · Show working out · Use the correct units of measurement · Use formulas throughout. Remember, answers are only part of the solution. You must show how you got there and be able to document and communicate your problem-solving technique. Each criteria has a subset of questions. The distinction criteria is meant to cement your knowledge. Some higher criteria questions will draw on you to interpret, compare and draw conclusions of worked solutions. Formats: Part 1: A series of hand written or word processed responses. Part 2: A series of hand written or word processed responses. Where references are used, follow Harvard Referencing System including in-text citations. Unit Learning Outcomes LO3 Use analytical and computational methods for solving problems by relating sinusoidal wave and vector functions to their respective engineering applications. LO4 Examine how differential and integral calculus can be used to solve engineering problems Assignment Brief and Guidance Scenario: You work as an engineer for a company that manufacture Wind turbine generators and cooling fans. You have been requested to carry out a variety of activities that could help the company to spot the product defects and improve their production efficiency. Part 1: Activity1: Analysing the current sinewave for an AC generator motor. Data given are: i = 7sin(120πt + 0.87) i in mA and t in second. You have been asked to use this information in order to determine: a) The amplitude, period, frequency, and phase (in degrees) of i. b) The current i when: t = 0 t = 1/60 t = 1/30 t = 1/15 c) The time t, when current, i is at maximum d) The time displacement between: i = 7sin(120πt + 0.87) i = 7sin(120πt) Activity2: A Determine the angle between the velocity, v, and acceleration a of the engine cooling fans by using the following data Velocity: V = 10i – 3j + 2k Acceleration: a = 5i + 6j + k B Determine the work done (w), by the air friction force (F = 2i – 5j – k) when is acting on the fan and move it from position A = (1,2,1) to position B (4,-2,3)? Activity3: A Analysing the voltage sinewave for an AC generator motor. Data given are: V = 5sin(t) + 2t². You have been asked to determine the rate of change when t = 3? B The acceleration a of the drive wind generator is given by: a = where r is the ratio of the Inner rotor generator You have been asked to show that when r = 25, the maximum acceleration will occur (use quotient rule to solve this problem) C The velocity, V, of a signal in a cable at a distance x (within the drive wind generator) is given by: V = kx ln (x) 0 <>< 1 k is a positive constant, differentiate the velocity using the product rule. activity4: b the displacement of the wind turbine blades is given by: s = 0.6t² + t you have been asked to determine s between t=0s and t=2s a when the wind turbine blades rotate and hit by the wind, the spinning motion turns the shaft in the fuselage, and then the kinetic energy of the turning shaft is converted into electrical energy. the kinetic energy, ke, of the turning shaft is given by: where m is the mass of the blade and v is the velocity. evaluate ke. part 2: activity 1: a the instantaneous value of voltage for an ac generator motor at any time t (second) is given by v(t) = 35 sin(45πt – 0.26) volts you have been asked to determine the 1. amplitude, period time, frequency, phase angle in degrees and phase time. 2. value of the voltage when t = 0. 3. value of the voltage when t = 5ms. 4. time when the voltage is first a maximum. 5. time when the voltage first reaches 4volts. 6. draw a sketch of v(t) over one cycle, showing relevant points. b draw to scale the graphical representation of the above and compare and comment on the advantages and disadvantages of physically measuring to determine the values required against calculating them. activity 2: a the following table shows the experimental results of a force, f, on a turbine blades with displacement, x: the work done, w, in moving the blades from 0.025m to 0.225m is given by w = ∫ f dx you have been asked to find an approximate value for w? m3: 0.225 0.0225 b within linear wind generator the blades are moving in linear motion in which the velocity, v, of the blades at time t is given by: analyse and skech the graph of v against t, marking all points of maximum, minimum and inflexion. note: the inflexion points are not horizontal, but are general points of inflexion. the point x = c of y = f(x) where = 0 and changes sign close to x = c. learning outcomes and assessment criteria: 7 hnc/hnd engineering/nuclear engineering/aeronautical engineering 1="" k="" is="" a="" positive="" constant,="" differentiate="" the="" velocity="" using="" the="" product="" rule.="" activity4:="" b="" the="" displacement="" of="" the="" wind="" turbine="" blades="" is="" given="" by:="" s="0.6t²" +="" t="" you="" have="" been="" asked="" to="" determine="" s="" between="" t="0s" and="" t="2s" a="" when="" the="" wind="" turbine="" blades="" rotate="" and="" hit="" by="" the="" wind,="" the="" spinning="" motion="" turns="" the="" shaft="" in="" the="" fuselage,="" and="" then="" the="" kinetic="" energy="" of="" the="" turning="" shaft="" is="" converted="" into="" electrical="" energy.="" the="" kinetic="" energy,="" ke,="" of="" the="" turning="" shaft="" is="" given="" by:="" where="" m="" is="" the="" mass="" of="" the="" blade="" and="" v="" is="" the="" velocity.="" evaluate="" ke.="" part="" 2:="" activity="" 1:="" a="" the="" instantaneous="" value="" of="" voltage="" for="" an="" ac="" generator="" motor="" at="" any="" time="" t="" (second)="" is="" given="" by="" v(t)="35" sin(45πt="" –="" 0.26)="" volts="" you="" have="" been="" asked="" to="" determine="" the="" 1.="" amplitude,="" period="" time,="" frequency,="" phase="" angle="" in="" degrees="" and="" phase="" time.="" 2.="" value="" of="" the="" voltage="" when="" t="0." 3.="" value="" of="" the="" voltage="" when="" t="5ms." 4.="" time="" when="" the="" voltage="" is="" first="" a="" maximum.="" 5.="" time="" when="" the="" voltage="" first="" reaches="" 4volts.="" 6.="" draw="" a="" sketch="" of="" v(t)="" over="" one="" cycle,="" showing="" relevant="" points.="" b="" draw="" to="" scale="" the="" graphical="" representation="" of="" the="" above="" and="" compare="" and="" comment="" on="" the="" advantages="" and="" disadvantages="" of="" physically="" measuring="" to="" determine="" the="" values="" required="" against="" calculating="" them.="" activity="" 2:="" a="" the="" following="" table="" shows="" the="" experimental="" results="" of="" a="" force,="" f,="" on="" a="" turbine="" blades="" with="" displacement,="" x:="" the="" work="" done,="" w,="" in="" moving="" the="" blades="" from="" 0.025m="" to="" 0.225m="" is="" given="" by="" w="∫" f="" dx="" you="" have="" been="" asked="" to="" find="" an="" approximate="" value="" for="" w?="" m3:="" 0.225="" 0.0225="" b="" within="" linear="" wind="" generator="" the="" blades="" are="" moving="" in="" linear="" motion="" in="" which="" the="" velocity,="" v,="" of="" the="" blades="" at="" time="" t="" is="" given="" by:="" analyse="" and="" skech="" the="" graph="" of="" v="" against="" t,="" marking="" all="" points="" of="" maximum,="" minimum="" and="" inflexion.="" note:="" the="" inflexion="" points="" are="" not="" horizontal,="" but="" are="" general="" points="" of="" inflexion.="" the="" point="" x="c" of="" y="f(x)" where="0" and="" changes="" sign="" close="" to="" x="c." learning="" outcomes="" and="" assessment="" criteria:="" 7="" hnc/hnd="" engineering/nuclear="" engineering/aeronautical="">