Determine the area corresponding to each diameter and hence estimate the capacity of the tower in cubic metres. (6)

7. A vehicle starts from rest and its velocity is measured every second for 6 seconds, with the following results: Time t (s) 0 1 2 3 4 5 6 Velocity 0 1.2 2.4 3.7 5.2 6.0 9.2 v (m/s)

Using Simpson’s rule, calculate (a) the distance travelled in 6 s (i.e. the area under the v/t graph) and (b) the average speed over this period. (6)

8. Four coplanar forces act at a point A as shown in Fig. A6.1 Determine the value and direction of the resultant force by (a) drawing (b) by calculation. (10)

9. The instantaneous values of two alternating voltages are given by:

v1 = 150 sin (ωt + π/3) volts and v2 = 90 sin (ωt − π/6) volts

Plot the two voltages on the same axes to scales of 1 cm = 50 volts and 1 cm = π

6 rad.