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Requirements and Subjects Combinations for Communication And Language Arts in University of Ibadan. (As copied from the official website of the school). COMMUNICATION & LANGUAGE ARTS is believed to be equivalent to MASS COMMUNICATION in other institutions. DIRECT ENTRY REQUIREMENTS 2 ‘A’ level passes to include Literature in English and one other Arts or Social […]

Requirements for Pharmacy Direct Entry Requirements i) A/Level Passes in Chemistry, Biology, Physics or Mathematics plus UME requirements.(ii) B.Sc degree in relevant fields. UTME Requirements English Language, Physics, Chemistry, and Biology. O’level Requirements 5 O’ Level Credit Passes in English Language, Mathematics, Physics, Chemistry and Biology at a single sitting. Special Remarks UI accepts 5 […]

Update for UNILAG screening UNILAG EXTENDS SALE OF ADMISSION SCREENING FORM FOR 2022/2023 SESSION The Management of Unilag has extended the sale of admission screening form for 2022/2023 academic session. The deadline for the closing date is now November 11, 2022. Note: This is also because of those that recently did change of institution to […]

Requirements for Medical Laboratory Science. Direct Entry Requirements; i) 3 A level passes in Chemistry, Biology and one other science subject. UTME Requirements: English Language, Physics, Chemistry, and Biology O’LEVEL REQUIREMENTS 5 O’ Level Credit Passes in English Language, Mathematics, Physics, Chemistry and Biology Special Remarks; UI accepts HND with Upper Credit in related fields […]

INSTITUTE OF EDUCATIONUNIVERSITY OF ABUJA The management of the University of Abuja (UNIABUJA), has released the programmes of events for the 2022/2023 Sandwich contact. S/N DATE SESSIONAL ACTIVITIES/EVENTS 1 October 26th – 28th October, 2022. Mopping up of backlog of 2021 Teaching Practice 2 November 3rd – November 4th, 2022. Training Programs for Teaching Staff […]

Kindly note that FUTA does not release cut off marks yearly. You can’t get the cut off marks unless it leaks. The last cut off mark that leaked is that of 2017 and it is what we will use as a guide. As of 2017, the following are the departmental cut off marks. SCHOOL OF […]

SPEED, VELOCITY AND ACCELERATION SpeedVelocityRectilinear AccelerationEquation of uniformly accelerated motionProblem solving using equation of motionInstantaneous Velocity and instantaneous accelerationGraphical solutions to problems in rectilinear AccelerationMotion under gravity: Gravitational Acceleration What is SPEED in physics Imagine you’re on your way to school and someone ask you what is SPEED, what will you say?In a lame man […]

UniAbuja Post Utme Registration Form is not yet out, but ostensibly soon. If you know you don’t have some of the aforementioned things, it’s high time you get them

Download free original Post UTME Past Questions and Answers for Ladoke Akintola University of Technology (LAUTECH), so as to enable you to prepare well for the upcoming Post UTME Screening Examination. Note that LAUTECH Post UTME Past Questions is totally free of charge.

DEPARTMENT OF ELECTRICAL ENGINEERINGSECOND SEMESTER EXAMINATION 2016/2017 ACADEMY SESSION COURSE TITLE: ELECTRICAL AND ELECTRONIC INSTRUMENTATION 11COURSE CODE: EEC 216. CLASS:ND11TIME ALLOWED: 2 HOURS.INSTRUCTION: ANSWER QUESTION ONE AND ANY OTHER THREEQUESTION AND ANSWERQUESTION ONE CATHODE RAY OSCILLOSCOPE These are familiar piece of measuring equipment, as no Tv programme with a science content is complete without the […]

CIRCUIT THEOREM EEC 222 A resistance of 40Ω, inductance of 0.4Hz and capacitance of 200µF are connected in series and are fed by 200v, 60Hz supply. Find; Inductance Reactance, XL Capacitance Reactance, XC Magnitude of impedance, Z of the RLC Circuit Magnitude of admittance, Y of the RLC circuit SOLUTION R = 40 Ω, L […]

Synchronous speed Rotor speed when slip is 4% Rotor frequency (5 marks) SOLUTIONI) Synchronous speed = f/p = 50/2 = 25rev/secII) Rotor slip 4% = Ns – Nr/ Ns × 100.4/100 = 25- Nr/25100 = 2500 – 100 Nr100Nr = 2400NrNr = 24rev/sec [RPM]III) Rotor frequency = [Ns-Nr]P= [25-24]2 = 2Hz

ENUMERATE 5 (FIVE) MAINTENANCE PROCESSES OF A BATTERY. (5 marks) Batteries should be kept neat and clean to increase the life of the battery. Dirt or other foreign materials should not be allowed to be accumulated in the cells, as it results into heavy discharge, on account of short circuit. Connector should be coated with […]

Download FUTA Post UTME question for free For Your Post UTME, we have FUTA Post UTME Past Questions for all departments available here. And you can also download as much as possible for free. We are offering FREE post UTME past questions and answers to candidates? We understand that past questions are one of the […]

resistors of resistance R₁, R₂ and R₃ are joint together, they’re said to be connected in series. It should be noted that;

The current through a series circuit is the same all over ( I.e I=i₁=i₂=i₃).

The voltage drop across each resistor is different depending on its resistances

The applied voltage (Vs) is equal to the sum of the Potential difference across each resistor. (i.e Vs = V(R₁) + V(R₂) + V(R₃) or V = V₁ + V₂ + V₃

Where Vs = IR; V₁ = IR₁; V₂ = IR₂; V₃ = IR₃

IR = IR₁ + IR₂ + IR₃

⇒(equivalent resistance), Req = R₁ + R₂ + R₃

For n resistors connected in series, the equivalent resistance

Req is given by Req

ASUU strike update 2022- The Union President says No End in Sight.The president of the Academy Staff Union of Universities ASUU, prof Emmanuel Osodeke has announced that the union will not call off the strike until its needs are met by the Federal government of Nigeria (FG). He said what was demanded of the Federal government to do is simple, just for them to sign the necessary documents approving the need of ASUU but they’ve denied them. But with the help of the court intervention we hope soon the strike will be called off.

What clearance form will I submit after admission? The clearance file varies, depending on if you’re Full Time or Daily part-time students. We have; Faculty file: The word Faculty comprises of many related department coming together to form a legalize division. For instance the faculty of engineering is called FENG in Polytechnic, Ibadan. Electrical, mechanical, […]

At the end of this post, you should be able to; State Joule’s law Solve problems involving Electrical energy and power Solve simple problems on Joule’s lawJOULE’S LAWIt state that, the amount of work required to maintain a current of I amperes through a resistance of R ohms, for time t seconds is I²RE = […]

Download Your Post UTME Past Questions OAU Post UTME Past Questions for all departments is now available for free here. You can also download as much as possible for free. You can now download the Obafemi Awolowo University (OAU) post UTME past questions and answers (PDF) for free here. This page contains core subject combinations […]

Instruments used in the workshop should be properly insulated for the available voltage to prevent electric shock.

2. Workshop floor should be free from grease, oil and water to prevent electric workers from falling or stumbling and getting injured.

3. First aid must be available and equipped in the workshop.

4. Safety boots should be worn to prevent electrical hazard

5. The passage way to the workshop should be free from obstruction to allow free movement of workers.

6. Protective

The Polytechnic, Ibadan announces application for admission into programmes for the 2022/2023 academic session on their official website. Application form for this year 2022/2023 programmes is out and Will be closed on Friday, 16th September, 2022. Interested candidate are to obtain the post UTME screening form on the existing institution portal at http://tpiportal.polyibadan.edu.ng/admissions the sum of two thousand naira only (#2,000)

This is to inform all aspirants of The Polytechnic, Ibadan who will participate in the upcoming post UTME screening exercise that we have the past questions and answers PDF and it’s absolutely Free. No collection of money. Poly Ibadan past Questions and answers 2022/2023 Free PDF download

PROBLEM 1: Given ∫ᵅ₋ₐ 15x²dx = 3430. Find the value of the constant a ∫ᵅ₋ₐ 15x²dx = 3430dx = [5x³/3]ᵅ₋ₐ[5(a)³/3] – [5(-a)³/3] = 34305a³ + 5a³ = 343010a³ = 343010a³/10 = 3430/10a³ = 343a = 3√343a = 7 PROBLEM 2: Using the quadratic formular, determine the roots of the equation x²+6x+m = 0, ∀m ∈ […]

NECESSARY DOCUMENTS Court Affidavits: This is just a legal statement of good conduct and anti-cultism. Make sure you follow futa format, get it done in an high court, ensure it is signed, stamped and sealed. Certificate of Origin: you’re to get this in the local government you filled during jamb registration compulsorily. If you can’t […]

This is to inform all the students (both fresh and returning) of the Polytechnic Ibadan (IbadanPoly) that the management of the institution has announced the resumption date for the commencement of academic activities for the first semester, 2022/2023 academic session.

The Post UTME is yet to commence due to ASUU strike so the resumption date for this year admission haven’t been officially stated. The students that were admitted last year used two years at home and the ones before them used more than that, the delay has been like that due to the pandemic or ASUU strike. For instance, ASUU was on strike for a record breaking of 9 month at year 2020. But you see this current strike will break the former record. Yes you read that right! Don’t allow the strike to cause frustration, anxiety, depression or anger on you. This is a better medium for those that have not read well for the post utme to read all over again and don’t give up now. For those writing jamb next year, bear in mind that UI might not accept 2023 candidates.

Please note that there are three different cut off marks when it comes to admission process in University of Ibadan. You must score minimum of 200 in JAMB UTME before you would be eligible to write POST UTME. You must score minimum of 50 in UI-POST UTME before you’ll be considered for Admission. The aggregate […]

Absolute permittivity of a medium

μ = Absolute permeability of a medium

E = EoEr and μ =μoμr

Eo = Absolute permittivity of free space and Er = relative absolute permittivity

μo = Absolute permeability of free space and μr = relative absolute permeability

For magnetic material V = √(1/LC)

V = √[1/(μo/2π • inB/A × 2πEo

Buffer system malfunction message means what?A) The label is cut offB) The Buffer system is too tensionC) The label is not properly fixed on the web guilderD) None of the aboveThe point at which the label is cut off from the buffer there will be buffer system malfunction on the HMI(human machine interface) When monitoring […]

Which of the factors listed below is not considered when selecting the types of conveyor chains and components to be used on conveyor system.A) The types of product to be handledB) Any specification of conveyor chains and components available for supply.C) Operating condition of the lineD) The specification of the conveyor chains and componentsThe types […]

Mutual inductance: This is when the magnetic flux of two or more inductors are linked up together in that the voltage induced in one coil is proportional to the Chang of current in the another. Coefficient of coupling: This is the magnetic flux produce by current in one coil which links with the other coil.B) […]

1) All the following will liberate a gas when reacted with dilute hydrochloric acid except a) Sodium tetraoxosulphate (vi) saltb) Sodium tetraoxocarbonate (vi) saltc) Sodium trioxonitrate (v) 2. The isomer of a compound C5H10 which does NOT decolorize bromine water is a) 2-methylbutane b) 2,2-dimethylpropane c) 2-methylbut-1-ene d) Methylcyclobutane Answer C5H10 is an hydrocarbon by […]

Mathematics questions with solutions 1. A regular polygon has each of its angles as 160⁰. What is the number of sides of the polygon? a) 36b) 9c) 18d) 20SolutionNumber of sides of the polygon » n»180(n-2)/n160 »180(n-2)/nCross multiply160n » 180n-360Collect like terms360 »180n-160n360 » 20nDivide both sides by 20n » 18 (C) 2. A girl […]

From the words lettered A-E choose the word that is alike in meaning to the word underlined. The man is known to be a sly. I won’t trust him with anything. This means the man is known as aa) Deceiverb) thiefc) Kidnapperd) roguee) burglar The woman was happy because her gorgeous dressing made her quite […]

2022 World Ranking University places: UI First in Nigeria UNN Second UNILAG Third & A.B.U Zaria FourthThe email address of UI in which each aspirants respective previous school, are expected to forward their transcript to is;The Registrar,Undergraduate admission office,University of Ibadan, IbadanOyo state, Nigeria. The appropriate time to submit the transcript will be communicated to […]

If A is the set of even numbers between 1 and 20, and B is the set of prime numbers between 1 and 20.(A.) (I) List all the elements of A (II) List all the elements of B (B.) Find the following: I. A∩BII. A∪BIII. Ac∪BcIV. Ac∩BcV. A∩Bc If A is the set of even […]

Dear JAMBites, I salute your courage for choosing University of Ibadan as your preferred choice of Institution!I am aware that you have checked your JAMB Result. They told me that you beat the UI-JAMB cut off mark, by scoring above 200. This is worthy of celebration. Maybe you didn’t, accept my warm sympathies. This is […]

FUTA Aspirants can now proceed to the portal to print their schedule slips. The schedule slip will contain their exam details like date, time and venue. we’ve batch 1, 2 and 3. The Management of Federal University of Technology, Akure (FUTA) has announced the deadline for

1. A frequency determining circuit in an L-C sinewave oscillator consist of a high Q inductance L = 200μH in parallel with a capacitor of C = 450pF. Determine the frequency range of the oscillator if this capacitor, can be varied between 20pF-150pF. SolutionInductance, L = 200μH= 200 × 10–⁶HCapacitance, C = 450pF= 450 × […]

###### education, Electrical power i, ENGINEERING, Engineering science, POWER II

## A string of suspension insulator consist of 3-units, the capacitance between each link pins to earth is one-sixth of the self-capacitance of the unit. If the maximum peak voltage per unit is not to exceed 20kv. Find the greatest working voltage and efficiency of the spring.

V = V1 + V2 + V3; = V1 + V2 + 20Applying kcl(Kirchhoff’s voltage law) to NODE Ai3 + i1 + ic1WC2V2 = WC1V1 + WCV1WMCV3 = WMCV2 + WC(V1 + V2)MV2 = MV1 + V1MV2 = 7V1M = C1/C ; C1 ÷ 1/6C1 = 66V2 = 7V1V2 = 7/6V1 V3 = 20kv AT […]

Types of Oscillator Armstrong Oscillator Hartley Oscillator Colpitts oscillators Wine bridge oscillator Crystal oscillator RCPhase shift oscillator Dynatron oscillator Tuned collectors oscillator Clapp oscillator Voltage Controlled Oscillator Armstrong oscillator Armstrong oscillator The Armstrong oscillator is an LC electronic oscillator and to generate this oscillator we are using the inductor and the capacitor. In 9012 the […]

What is an Oscillator? The oscillator is a mechanical or electronic device and the working principle of the oscillator is, the periodic change between the two things depends on the changes in the energy. The oscillations are used in radios, watches, metal detectors, and in many other devices. The oscillator converts the DC (direct current) from the power […]

A 500/200v single phase transformer has primary resistance of 0.5Ω and reactance of 3.7Ω, while the secondary resistance and reactance are 0.03Ω and 0.25Ω respectively. Compute the equivalent values of resistance, reactance and impedance referred to;I. the primaryII. the secondary Equivalent resistance (Values of resistance)R1(primary resistance) = 0.5Ω, R2 (secondary resistance) = 0.03Ωand X1( primary […]

CONSTRUCTION OF A REMOTE CONTROL MOTOR CARPREPARED BY: Soyombo oluwajuwonlo gabriel 2018702030240Sangodoyin ajibola mujeeb 2018702030237Sowunmi sunday Joseph 2018702030239Sunmonu akinkunmi quadri 2018702030241Fadare temitayo Lawrence. 2018702030121Oyelabi Timileyin Samuel. 2016070203234 A PROJECT REPORT SUBMITTED OF ELECTRICAL ENGINEERING IN PARTIAL FULFILLMENT FOR THE AWARD OF NATIONAL DIPLOMAFACULTY OF ENGINEERINGTHE POLYTECHNIC IBADAN MARCH, 2021. AUTHENTICATION I hereby certify that this […]

MACHINE (WORK 1) (A) M.A = F.R, M.A = load/effort or output force/input forceWhere F.R = force ratio(B) Velocity ratio = distance moved by effort/ distance moved by load = e/L(C) Efficiency = M.A/V.R × 100%OrEfficiency = work output/work input × 100%EXAMPLE 1A machine has an efficiency of 80%, if the machine is required to […]

###### Electrical power i, ENGINEERING, Engineering science

## An overhead line is connected in series with a cable. The overhead line has an inductance of 2mH/km and capacitance of 0.01ûF/km. The cable has an inductance of 0.25H/km and capacitance of 0.102ûF/km. If a surge having a maximum value of 100kv travels along the overhead line towards its junction with the cable. Calculate

C) Derive from first(1st) principle, the load flow equation QUESTION THREE (3)A) prove that velocity of propagation in a concentric underground cable is equal to the speed of light B) An overhead line is connected in series with a cable. The overhead line has an inductance of 2mH/km and capacitance of 0.01ûF/km. The cable has […]

Vc = (3 × 10⁶)/√2 • r × inD/r where D is the spacing Conductor and r is the radius of each conductor D = 4m, r = 1cm ≈ 0.01m Vo = (3 × 10⁶)/√2 • 0.01 × in(4/0.01) 30,000/√2in400 = 21213.2×5.99 Vo = 127067.07v

Explain briefly the following terms in overhead transmission lineI. SHORT TRANSMISSION LINE: A transmission line is said to be short when the distance about 50km and the line voltage is corporative low at less than 20kv.II. MEDIUM TRANSMISSION LINE: Transmission line is said to be medium when the distance is about 50km-150km and the voltage […]

Course title: electrical power IIICourse code: EEC 222Class: ND2 full timeInstruction: Answer question one and any other threeTime allowed: 2 hours QUESTION ONE (1) a) state three (3) advantages and three (3) disadvantages of interconnected power system. (3 marks)ADVANTAGES Increase reliability of supply Ensures economical operation Exchange of peak load DISADVANTAGES It requires more investment […]

With the aid of a block diagram explain the working principle of a gas turbine power plant A gas turbine power plant iss the type of generating station that uses gas turbine as the prime over for the generation of electrical energy. The air combustion chamber where heat is added to air, thus raising its […]

WHAT ARE THE SIX CAUSES OF ACCIDENT ON LINE ONE(1) TO LINE EIGHTEEN (18) Poor house keeping: not properly arranging the line after production, speels all over the plants, e.t.c can cause accident on the plants. Falling hazard: Falling hazard include stuffs like a falling ladder, falling gadgets, falling gas cylinder or any other equipment […]

MATHEMATICS DIFFERENTIATION(I) Lim x→0 sin 3x/xLim x→0 sin 3x÷x × 3÷33sin3x/3x= 3• Limx→0 Sin3x÷3×3×1 = 3(2) Lim x→0 tanx/xLim x→0 [tanx÷x × 1÷cosx]Lim x→0 tanx/x • Lim x→0 1/cosxLim x→0 tan0/0 • Lim x→0 1/cos01•1 = 1 (

What is electrical installation: it is an electrical wiring of cabling or fixing electrical equipment and other accessories such as sockets, switches, chandelier, distribution board, lamp holder e.t.c on a building, office, company e.t.cTypes of electrical installation Wiring diagram Circuit diagram: they can be subdivided into two namely;I. PictogramII. Schematic diagramWIRING DIAGRAMIt is a specified […]

What is receptacle and Block diagram in Electrical graphics What is receptacle in electrical graphics: Receptacle is an opening of series of opening connected to a wired power source that is supposed to power electrical components and equipment.BLOCK DIAGRAM: Is a kind of electrical drawing that represent the principle components of a complex system in […]

Definition of economics Economics: is a science which study human behaviors as a relationship between ends and scarce means which have alternative uses.Is define as an enquiry into the nature and causes of the wealth of the nation.Can also be defined as the study of how man and his society, choose with or without money […]

3 SINGLE PHASE TRANSFORMER CONNECTED INTO A STAR DELTA 3∅ GROUP They are joined by means of common yokes, the top yoke 2, and the bottom yoke 3. The phase windings are arranged on the limbs and are connected into three phase circuit to make a 3∅ transformer.The first part of the transformer is a […]

COOLING METHODS OF A TRANSFORMER Air cooling:AN – Ambient air as coolant with natural circulation by convection [ up to 1.5MVA] and special conditions such as minesAF – Forced air circulation OIL IMMERSED, OIL COOLING:ONMAN- Natural oil circulation and natural air flow over the tank (tubes) up to 5MVAONAF – Natural oil circulation with air […]

SHORT CIRCUIT TEST: The secondary is short-circuited through a suitable ammeter, A2, While a lot voltage is applied to the primary and adjusted to circulate full-load current in the primary and secondary circuit iron losses is negligible and wattmeter reading is that of copper losses in the windings [ iron loss a (flux)² applied voltage which is small about 1/30 of V1]
Constant Losses: The iron loss due to hysteresis and Eddy currents are constant at all loads because Flux variation between no load and full load is 2%-5%

Variable Losses: The copper loss depends on the load since variation of load from no load to full load is 100%.

CTE 224 1A. Define protocol: Protocol are standard program developed to enhance the methods of transmitting and prescribing various kind of information from one device to another either through wired or wireless media. 1B. BRIEFLY EXPLAIN THE FOLLOWING PROTOCOLS I. TCP/IP: ( Transmission control protocol and internet protocol) are often link together. The linking of […]

REGULATED POWER SUPPLY it is the terminal voltage that will remains almost constant regardless of the amount of current drawn from it. TRANSFORMER: its job is either to step up or step down the a.c supply voltage to suit the requirements of the solid states electronics devices and circuit fed by the D.C power supply. […]

JUNE 1992 SSCE ENGLISH LANGUAGE 2 OBJECTIVE QUESTIONSChoose the word opposite in meaning to the underlined words. In many ways my parents are very conservative but there are times when they surprise me with their_________________ ideas on family planning.A. Orthodox. B. Critical. C. Modern. D. New. E. Liberal My brother adores dog but he has […]

CHAPTER ONE INTRODUCTION1.1 BACKGROUND OF STUDYElectricity could be said to be one of the greatest inventions of man. This is because many other inventions and processes depend on it for proper functioning. The most common source of this important energy is the utility lines that come from hydroelectric power stations. However, the AC supply from […]

THE DEPARTMENT OF MATHEMATICS AND STATISTICSFIRST SEMESTER TEST 2020/2021CLASS: ND1 civil EngineeringCOURSE CODE: MTH 111COURSE TITLE: Algebra and Element 3^x = 7; XLog3base3 = Log7base3Recall, Log3base3 = 1 (reason is that, Log of the same base = 1)X × 1 = Log7base3X = Log7base3 ( Find Log 7 base 3 ) [check the picture above, […]

Where a = linear expansivityL1 = original length before expansionL2 = final length after expansion∅1 = initial temperature before expansion∅2 = final temperature after expansion∆L = increase in length or change in length (L2 – L1)∆∅ = temperature rise or change in temperature, (∅2 – ∅1)The S.I unit of linear expansivity is per kelvin (k–¹)Examples […]

Find the voltage V1 and V2 using kvl To Find V1 and V2, we’ll have to use ohm’s law and Kirchoff voltage law. Assume that current (I) flows through the loop from ohm’s law, v = IR so therefore, V1 = 4I,. V2 = -2I Applying kvl around the loop given -10 + V1 -8 […]

MATTER Matter is anything that has weight and can occupy space or volume. Matter can be pure (elements and compounds) or impure (mixtures). Mixtures can be homogenous (exist in one phase and it is uniform) or heterogeneous (exist in two or more phases and it is non-uniform).A molecule is defined as the smallest uncharged particle […]

SolutionFOR THE FIRST LENGTHFor triangle AB, |AB|, ( where A is (0,4); and B is 4,10)X1 = 0 ; y1 = 4X2 = 4 ; y2 = 10Find the length of the sides of triangle FOR THE SECOND LENGTHFor triangle BC, |BC|, ( where B is (4,10); and C is( 7,8)X1 = 4 ; y1 […]

Trigonometry analytics Given that tan(A+B) = (tanA + tanB)/(1-tanAtanB). Show that Tan(A+B+C) = (tanA + tanB + tanC – tanAtanBtanC) ÷ (1-tanAtanB-tanBtanC-tanAtanC).Hence deduce that Tan3A = (3tanA-tan³A)/(1-3tan³A)SolvingsTan (A+B+C) = Tan[(A+B)+C]Let Tan(A+B) = TanxTan(X+C) = (Tanx + TanC)÷ (1-Tanxtanc)

MathematicsProve that = cosecProve that the root of 1-costheta/ 1+costheta = cosectheta-cot theta Recall that,= cosecθ and = cotθTherefore,

Determine the value of r and a. hence or otherwiseSolve 3cosθ+4sinθ = 4completelySolutionCompare cosθ + sinθ3cosθ+4sinθ= 3, = 4 R = 5Tan = a/b = ¾ = 0.75TanTan-1(0.75)= 36.9 3cosθ+4sinθ = Rsin(θ+)4 = Rsin(θ+36.9⁰)4 = 5sin(θ+36.9⁰)4/5 = sin(θ+36.9⁰)0.8 = sin(θ+36.9⁰)θ+36.9 = sin-1(0.8)θ+36.9 = 53.9θ = 53.9 – 36.9θ = 16.20

Find the point of intersection of the following lines 3x-2y=0 and 3x+4y-12=0Solution3x-2y=0 ………………………(1)3x+4y-12=0………………….(2)Subtract equation (2) from equation (1)3x-2y=0-( 3x+4y=12)6y = 12Y = 2Substitute for y in equation (1)3x – 2(2) = 03x = 4X = 4/3Point of intersection (x,y) = [ 4/3, 2]

HOLIDAY ASSIGNMENT A boy cycles continuously through a distance of 1.0km in 5 minutes. Calculate his average speed.Solution1km = 1000m1 minutes =60 seconds5 minutes = 5×60 = 300 secondsAverage speed = distance/time1000/300 = 3.33m/s A car travels with a constant velocity of 45km/hr for 20 seconds. What distance does it cover in this time.SolutionConversion of […]

CIRCUIT THEOREM 1. With a suitable diagram show the alternating current and voltage in a pure resistance are to phase. Hence, derive an expression for power in a pure a.c resistive circuit. R = resistanceFrom ohm’s law,V = IRVmSinwt = IRI =(VmsinWt) ÷ RRecall SinWt = 1Current(I) is maximum(IM)IM = Vm/RTherefore,Instantaneous current (I) = IMSinWtPower […]

ELASTIC PROPERTIES OF SOLIDS Young ModulusYoung Modulus, y is defined as the ratio of tensile stress to tensile strain.Y = tensile stress/tensile strainTensile strain is the ratio of the extension of a material to the cross sectional area of the material.Strain = change in extension/ original length = e/LTensile strain has no unitTensile stress is […]

To obtain the coefficient of static friction, µ, the angle of inclination of the plane, , is slowly increased until the block just begins to slide down the plane. At this point, the parallel component of the weight, W sin acting downwards along the plane is equal to the limiting frictional force, F = µR acting upwards along the plane.

That is, F = Wsin ………………………………………….(1)

Or µR = Wsin

Also, on an inclined plane, the normal reaction R is not equal to the weight, W, but to the perpendicular component of the weight, Wcos

That is R = Wcos ……………………………………………(2)

Combining equation (1) and (2),

INEQUALITYASSIGNMENTSolve the following inequality3-x≥72(x+3)-3(x-1) ≤122x+1≥3x+3Solutions3-x≥7-x≥7-3-x≥4x≤-42(x+3)-3(x-1) ≤12Open the bracket(2×x + 2×3)-3×x – 3×-1≤12(2x+6)-3x+3≤12Collect like terms2x-3x+6+3≤12-x+9≤12-x≤12-9-x≤3 = x≥-32x+1≥3x+3Collect like terms2x-3x≥3-1-x≥2x≤-2

Late resumption to school is one of the major problems that have plagued many schools; there is hardly any school that is spared from this problem. The impact of this great menace cannot be over emphasized, as it has contributed immensely in a negative way to the academic achievement of learners and the functioning of […]

An air force jet flying with a speed of 335m/s went past an anti aircraft gun. How far is the aircraft 5secs later when the gun was fired.A. 838m. B. 3350m. C. 670m. D. 1675m. E. 67mSolutionV = 335m/s,. Time = 5secs,Formula, V = distance/time ( since we’re asked to find distance)Distance = velocity×time; 335×5= […]