BTEC Level 3 National in Engineering - Edexcel

1 PearsonBTEC Level 3 National inEngineeringUnit 1: Engineering PrinciplesSampleAssessmentMaterials (SAMs)For use with: Extended Certificate, Foundation diploma , diploma and Extended diploma in Engineering diploma and Extended diploma in electrical and Electronic Engineering diploma and Extended diploma in Mechanical Engineering diploma and Extended diploma in Computer Engineering diploma and Extended diploma in Manufacturing Engineering diploma and Extended diploma in Aeronautical EngineeringFirst teaching from September 2016 Issue 2 You do not need any other materials.*S50749A*Turn over S50749A 2015 Pearson Education BTEC Level 3 Instructions You will need the information in this booklet to answer most questions. Read the information carefully. You must not write you answers in this booklet.

2 Only your answers given in the question paper will be ReferenceSample assessment material for first teaching September 2016 Information Booklet of Formulae and Constants InsertEngineeringXXXXX/XXEdexcel, BTEC and LCCI qualifications Edexcel , BTEC and LCCI qualifications are awarded by Pearson, the UK s largest awarding body offering academic and vocational qualifications that are globally recognised and benchmarked. For further information, please visit our qualifications website at Alternatively, you can get in touch with us using the details on our contact us page at About Pearson Pearson is the world's leading learning company, with 35,000 employees in more than 70 countries working to help people of all ages to make measurable progress in their lives through learning.

3 We put the learner at the centre of everything we do, because wherever learning flourishes, so do people. Find out more about how we can help you and your learners at References to third-party material made in this specification are made in good faith. We do not endorse, approve or accept responsibility for the content of materials, which may be subject to change, or any opinions expressed therein. (Material may include textbooks, journals, magazines and other publications and websites.) All the material in this publication is copyright Pearson Education Limited 2018 You do not need any other materials.*S50749A*Turn over S50749A 2015 Pearson Education BTEC Level 3 Instructions You will need the information in this booklet to answer most questions. Read the information carefully.

4 You must not write you answers in this booklet. Only your answers given in the question paper will be ReferenceSample assessment material for first teaching September 2016 Information Booklet of Formulae and Constants InsertEngineeringXXXXX/XX1 Pearson BTEC Level 3 Nationals in Engineering Unit 1 Sample Assessment Materials Issue 2 February 2018 Pearson Education Limited 20182S50749 AFormulae and ConstantsMathsRules of Indicesam x an = a (m+n)am an = a(m-n)(am)n = amnRules of Logarithmslog AB = log A + logBlog A BlogAx = xlogATrigonometric rulesbCBAcaSine ruleCosine rulea2 = b2+c2 2bc cos A= logA logBasinA=bsinBcsinCorasinA=bsinBcsinC3 Turn over S50749 AVolume and area of regular shapesrs length of an arc of a circle s = r (where is expressed in radians)

5 Area of a sector of a circle A = r2 (where is expressed in radians)rhvolume of a cylinder v = r2 htotal surface area of a cylinder TSA = 2 rh + 2 r2rvolume of sphere v = 4/3 r3surface area of a sphere SA = 4 r22 Pearson BTEC Level 3 Nationals in Engineering Unit 1 Sample Assessment Materials Issue 2 February 2018 Pearson Education Limited 20182S50749 AFormulae and ConstantsMathsRules of Indicesam x an = a (m+n)am an = a(m-n)(am)n = amnRules of Logarithmslog AB = log A + logBlog A BlogAx = xlogATrigonometric rulesbCBAcaSine ruleCosine rulea2 = b2+c2 2bc cos A= logA logBasinA=bsinBcsinCorasinA=bsinBcsinC3 Turn over S50749 AVolume and area of regular shapesrs length of an arc of a circle s = r (where is expressed in radians)area of a sector of a circle A = r2 (where is expressed in radians)

6 Rhvolume of a cylinder v = r2 htotal surface area of a cylinder TSA = 2 rh + 2 r2rvolume of sphere v = 4/3 r3surface area of a sphere SA = 4 r23 Pearson BTEC Level 3 Nationals in Engineering Unit 1 Sample Assessment Materials Issue 2 February 2018 Pearson Education Limited 20184S50749 Alhrvolume of a cone v = 1 3 r2 hcurved surface area of cone CSA = r lQuadratic FormulaTo solve ax2 + bx + c = 0 , a 0 Physical constantsAcceleration due to gravity g = of free space 0 = 10 12 F/m Permeability of free space 0 = 4 10 7 H/mx= b (b2 4ac)2a5 Turn over S50749 AEquations of linear motion with uniform accelerationv = final velocity, u = initial velocity, a = acceleration, t = time and s = distancev = u + at s = ut + at2 v2 = u2 + 2as s = (u + v)tStress and strainDirect stress = F/ADirect strain = L/LShear stress = F/AShear strain = a/b Young s Modulus (modulus of elasticity)

7 E = / Modulus of rigidity G = / Work, Power, Energy and ForcesForce F = maComponents of forces Fx = Fcos , Fy = Fsin where is measured from the horizontalMechanical work W = FsMechanical power P = Fv, P = W/tMechanical Efficiency Efficiency ( ) = Force to overcome limiting friction F = N (where N is the normal force)

8 Gravitational potential energy PE = mghKinetic energy KE = mv2 Pout Pin4 Pearson BTEC Level 3 Nationals in Engineering Unit 1 Sample Assessment Materials Issue 2 February 2018 Pearson Education Limited 20184S50749 Alhrvolume of a cone v = 1 3 r2 hcurved surface area of cone CSA = r lQuadratic FormulaTo solve ax2 + bx + c = 0 , a 0 Physical constantsAcceleration due to gravity g = of free space 0 = 10 12 F/m Permeability of free space 0 = 4 10 7 H/mx= b (b2 4ac)2a5 Turn over S50749 AEquations of linear motion with uniform accelerationv = final velocity, u = initial velocity, a = acceleration, t = time and s = distancev = u + at s = ut + at2 v2 = u2 + 2as s = (u + v)tStress and strainDirect stress = F/ADirect strain = L/LShear stress = F/AShear strain = a/b Young s Modulus (modulus of elasticity)

9 E = / Modulus of rigidity G = / Work, Power, Energy and ForcesForce F = maComponents of forces Fx = Fcos , Fy = Fsin where is measured from the horizontalMechanical work W = FsMechanical power P = Fv, P = W/tMechanical Efficiency Efficiency ( ) = Force to overcome limiting friction F = N (where N is the normal force)

10 Gravitational potential energy PE = mghKinetic energy KE = mv2 Pout Pin5 Pearson BTEC Level 3 Nationals in Engineering Unit 1 Sample Assessment Materials Issue 2 February 2018 Pearson Education Limited 20186S50749 AAngular parametersCentripetal acceleration a= r or a= v /rPower P = T Rotational Inertia I = k m r2 The inertial constant for a solid cylinder (flywheel) k = and for a thin walled hollow cylinder k 1 (along the axis of rotation).