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Which of the following is an application of simpson’s rule?
  • a)
    Calculation of vessel’s displacement
  • b)
    Total wetted surface area
  • c)
    Calculation of longitudinal center of buoyancy of the hull
  • d)
    All of the given options
Correct answer is option 'D'. Can you explain this answer?
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Which of the following is an application of simpson’s rule?a)Cal...
Application of Simpson's Rule

Calculation of vessel's displacement
- Simpson's rule can be used to calculate the volume of irregularly shaped hulls, which in turn can be used to determine the vessel's displacement.

Total wetted surface area
- By applying Simpson's rule to the contour of the hull, the total wetted surface area of the vessel can be calculated accurately.

Calculation of longitudinal center of buoyancy of the hull
- Simpson's rule can be utilized to determine the longitudinal center of buoyancy of the hull by calculating the moment of inertia of the waterplane area.

All of the given options
- Therefore, all of the given options are valid applications of Simpson's rule in naval architecture and ship design. Simpson's rule provides a method for accurately calculating various parameters related to ship hydrodynamics and stability, making it a valuable tool in the field of naval engineering.
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Which of the following is an application of simpson’s rule?a)Cal...
Application of Simpson rule related to shipping:
  • The underwater (displaced) volume can be calculated in many ways, for example, if the immersed area, is divided into a number of sections throughout the length of a ship and then the area is calculated by Simpson's rule, by integrating the area of a particular section, within the given range of the length of the ship
  • ​The longitudinal position of the center of buoyancy with respect to any reference point on the ship is called the longitudinal center of buoyancy (LCB).
    • Usually, the reference point for locating the LCG is either of the forward or aft perpendiculars. Calculation of the longitudinal center of buoyancy of the hull is the application of Simpson's rule.
  • Now, to obtain the extreme displacement, it is necessary to add this to the shell displacement, and with regard to the displacement of the shell, this is determined by first of all calculating the wetted surface area.
    • This area when multiplied by the mean thickness of the shell planting gives the volume displaced by the shell. The wetted surface area is not easy to calculate since the outside surface of a ship has double curvature.
    • It can be approximated by girths around the various sections and then applying Simpson's rule to find the area
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Which of the following is an application of simpson’s rule?a)Calculation of vessel’s displacementb)Total wetted surface areac)Calculation of longitudinal center of buoyancy of the hulld)All of the given optionsCorrect answer is option 'D'. Can you explain this answer?
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