Answer: a) 557.3kN b) 543kN
Explanation:
Buoyant force = weight of water displaced.
Formula for buoyant force = mg×(density of fluid/density of object)
Density of fluid = density of sea water = 1025kg/m³
Mass of the chamber(m) = 54300kg
g = acceleration due to gravity = 10m/s²
Density of chamber = mass/volume
Where volume of sphere = 4/3Πr³
radius = 4.70/2 = 2.35m
Volume = 4/3×Π(2.35)³
Volume = 54.37m³
Density of chamber = 54300/54.37
= 998.7kg/m³
Substituting the values into the formula for buoyant force
Buoyant force= 54300×10×{1025/998.7}
= 557299N
= 557.3kN
b) Tension in the cable = mass of cable × acceleration due to gravity
= 54300×10 = 543000N or 543kN.
