According to Archimedes' principle, the buoyancy force acting on an object that is partially immersed in a fluid is equal to the weight that is displaced by the portion of the object that is submerged. A spherical float with a mass of m_f=70 kg and a diameter of 90 cm is displaced in the ocean (density is 1030 kg/m3). The height, h, of the portion of the float that is above water can be determined by solving an equation that is displaced by the portion of the float that is submerged (Density)*(V_cap)3Dm_f where, for a sphere of Radius r, the volume of a cap (V_cap) of depth d is given by: V_cap3(1/3)*(pi) *(d*d)*(3*r- d) Write an equation for d and solve it for d using a Newton-Raphson Matlab script. Use relative error control (10A-5) percent.

According to Archimedes' principle, the buoyancy force acting on an object that is partially immersed in a fluid is equal to the weight that is displaced by the portion of the object that is submerged. A spherical float with a mass of m_f=70 kg and a diameter of 90 cm is displaced in the ocean (density is 1030 kg/m3). The height, h, of the portion of the float that is above water can be determined by solving an equation that is displaced by the portion of the float that is submerged (Density)(V_cap)3Dm_f where, for a sphere of Radius r, the volume of a cap (V_cap) of depth d is given by: V_cap3(1/3)(pi) (dd)(3r- d) Write an equation for d and solve it for d using a Newton-Raphson Matlab script. Use relative error control (10A-5) percent.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

See similar textbooks