(a)A 2m wide sluice gate on a tank of water that is a circular quadrant of radius R=1.6m is pivoted as shown. Calculate the magnitude and direction of the resultant force when the water level is (i) as shown with D = 2.2m (ii) 0.8m below the pivot 5)A circular butter-fly valve of diameter 1.2m is fitted to the vertical side wall of a tank containing water. If the level of water above the centre of the valve is 5m what is the torque required to open the valve? [The valve pivots about a horizontal axis through it centre.] (i) Water flows in a circular pipe which increases in diameter from 400 mm at point A to 500 mm at point B. Then pipe then splits into two branches of diameters 0.3m and 0.2m discharging at C and D respectively. If the velocity at A is 1.0m/s and at D is 0.8m/s, what are the discharges at C and D and the velocities at B and C? (ii) If point A is 5m higher than point B and the pressure at A is 15kN/m², what is the pressure at point B?[15 Marks]