Question

a. A submersible sea vessel is certified as being safe to operate at a depth of 110 m where the density of seawater is 1,032 kg/m³. What would be the safe operating depth in fresh water having a density of 1,000 kg/m3? b. A flat-bottomed, cylindrical oil storage tank has a diameter of 0.8 m. The mass of oil present is 2,900 kg. If oil has a relative density of 0.85, what is the pressure exerted by the oil on the base of the tank? c. A vertical dam retains 7 m of water. At what height is the centroid of the dam hc? ii.At what height below the water surface is the location of the resultant force hr? ii.If the water level on the opposite side of the dam is 3 m, what is the resultant force per unit width on the dam? d. Calculate the force and point of action along the sloped surface on a 1.2 m square gate as shown in the figure below. The sloped surface is at an angle of e = 19degrees with the horizontal plane. The top of the gate is 3.5 m below the water surface. e. The figure below shows a curved section of a water tank. The curve is a quarter circle. i. Determine the magnitude of the resultant force per unit width (where b = 1)that acts on the curved section. ii. What is the angle at which the resultant force acts with respect to the vertical?

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9

Fig: 10

Fig: 11

Fig: 12