Basic Engineering Mathematics, Fifth Edition

28 Basic Engineering Mathematics Evaluate cos( 1 .42 rad) Evaluate tan( 5 .673 rad) Evaluate (sin42. 6 ◦)(tan83. 2 ◦) cos13. 8 ...

Using a calculator 29 Problem 22. Velocityvis given byv=u+at.If u= 9 .54m/s,a= 3 .67m/s^2 andt= 7 .82s, findv, correct to 3 sign ...

30 Basic Engineering Mathematics Problem 26. The volumeVcm^3 of a right circular cone is given byV= 1 3 πr^2 h. Given that radiu ...

Using a calculator 31 Energy,E joules, is given by the formula E= 1 2 LI^2. Evaluate the energy when L= 5 .5andI= 1. 2 The cu ...

32 Basic Engineering Mathematics Table 4.1 Train timetable from Portsmouth Harbour to London Waterloo Fratton Fratton Hilsea Hil ...

Chapter 5 Percentages 5.1 Introduction Percentagesare used to give a common standard. The use of percentages is very common in m ...

34 Basic Engineering Mathematics Problem 4. Express 17.5% as a decimal number 17 .5%= 17. 5 100 =0.175 5.2.3 To convert a fracti ...

Percentages 35 Express as percentages, correct to 3 significant figures, (a) 7 33 (b) 19 24 (c) 1 11 16 Place the followingin ...

36 Basic Engineering Mathematics 5.3.3 Percentage change Percentage change is given by new value−original value original value × ...

Percentages 37 is 63mm. What is the percentage error in the measurement? % error= error correct value ×100% = 64. 5 − 63 63 ×100 ...

38 Basic Engineering Mathematics Value after 1 year= 100 + 6. 25 100 ×£3600 = 106. 25 100 ×£3600 = 1. 0625 ×£3600 =£3825 Problem ...

Revision Test 2 : Decimals, calculators andpercentages This assignment covers the material contained in Chapters 3–5.The marks a ...

Chapter 6 Ratio and proportion 6.1 Introduction Ratiois a way of comparing amounts of something; it shows how much bigger one th ...

Ratio and proportion 41 Thus, 128:48 is equivalentto 64:24 which is equivalent to 8:3 and8:3 is the simplest form. Problem 3. A ...

42 Basic Engineering Mathematics Thus,45p as a ratio of £7.65 is 1:17 45:765,9:153,3:51 and 1:17 areequivalent ratios and1:17 is ...

Ratio and proportion 43 Here are some worked examples to help us understand more about direct proportion. Problem 9. 3 energy sa ...

44 Basic Engineering Mathematics Charles’s law states that volume is directly proportional to thermodynamic temperature for a g ...

Ratio and proportion 45 (g) 60litres= 60 × 1 .76 pints= 105 .6 pints 105 .6 pints= 105. 6 8 gallons= 13 .2 gallons Problem 16. C ...

46 Basic Engineering Mathematics (working at the same rate) would take 6 hours. Half the men, twice the time. (Note that 4× 3 = ...

Chapter 7 Powers, roots and laws of indices 7.1 Introduction The manipulationof powers and rootsis a crucial under- lyingskillne ...