Q3 (a) A spherical shell is immersed in water. The density of the spherical shell is 1650 kg/m³. If the inner diameter and outer diameter are equal to 5 cm and 6 cm, respectively. Assuming that the inner part of the shell is a vacuum, calculate the percentage of the shell's total volume that would be submerged. (b) A truck is used to carry a cubical water tank and accelerates from 0 to 90 km/h in 10s. The side length of water is 3 m, half filled with water and open to the atmosphere at 100 kPa. Determine the maximum pressure in water.

An average adult has a mass of 81 kg, knowing that the average human density is very close to that of fresh water (1,000 kg/m3), (a) Calculate the buoyant force exerted by fresh water on that person. (b) If this adult jumped in a tank filled with Glycerine (sg = 1.263) what will be the percentage of the submerged volume below the surface?

There are various methods that can be used to calculate the hydrostatic force on a submerged surface. Which of the following statements are correct? (i) (iii) The pressure prism method gives good understanding of the fundamentals but it can only be used for plane surface uniform in the spanwise direction. The parallel axis theorem can be used for surface not uniform in the spanwise direction such as a circular or triangular plane surfaces, but it is limited to simple geometry where the second moment of area can be easily defined. The elementary area method can be used for any 2 or 3 dimensional surface as long as the geometric unit normal vector is known at any point on the surface. (A) (B) (C) (D) (i) and (ii) (i) and (iii) (ii) and (iii) All of the above The Eulerian frame of reference is commonly used in analyzing fluid problems instead of the Lagrangian frame of reference. The main differences between these 2 frames of reference are: (i) The steady motion in Lagrangian frame of…

The bottom of a steel "boat" is a 7 m ✕ 8 m ✕ 4 cm piece of steel (ρsteel = 7900 kg/m3). The sides are made of 0.480 cm thick steel. What minimum height must the sides have for this boat to float in perfectly calm water? The side height should not include the thickness of the bottom. (Answer in cm, thanks)