N1 Engineering Science|The Easy Way! 15 Exercise 1.1


1. Write down the quantity and unit symbols for length, mass, weight, time, area and temperature.


2. Convert the following to the correct units for calculation purposes: 2.1 3,5 mm


2.2 365 mm


2.4 3 megajoules 2.7 14 kJ


2.10 54 cm2 2.13 75 kilojoules


2.5 twelve newtons 2.8 1 500 kN 2.11 12 µΩ m 2.14 34 mm2


3. What do you understand by a scalar? 4. Define a vector quantity.


5. How does a vector quantity differ froma scalar quantity? 6. Draw lines to illustrate the following directions; 6.1 pulling to the right; 6.2 pushing up; 6.3 pulling 40° below the right horizontal; 6.4 pulling 15° above the left horizontal; 6.5 pulling 60° to the right of the bottomvertical, and 6.6 pulling 10° to the left of the top vertical.


7. Show step by step how you would go about selecting a scale to represent values of 120 N and 95 N according to the same scale.


8. Select a suitable scale and draw the following vectors. Tey all have the same point of application. 8.1 85 N pulling vertically up, 8.2 60 N pulling to the right, 8.3 65 N pushing up, 8.4 75 N pulling 10° left of the top vertical, 8.5 75 N pulling 20° below the right horizontal, and 8.6 60 N pulling 80° below the left horizontal.


9. A pushing force of 30 N acts on a certain body in a westerly direction. Another pushing force of 45 N, acts in an easterly direction. Find their sum. (15 N east)


10. Two forces act on the same body. One pulls up with a force of 125 N and the other pushes down with 105 N. Find their sum. 11. Explain the term coplanar vectors.


(20 N up)


12. Refer to question 8. With the aid of a line diagram (not to scale, but to proportion), show how sequence addition could be applied to find the sum of the forces. Begin with force 8.3 and rotate in a clockwise direction.


2.3 1,74 km 2.6 12,5 cm 2.9 17 kg


2.12 17,4 millimetres 2.15 12 cm2


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