A spherical buoy is tied to the sea bed by a steel wire so that exactly half the buoy is above the water surface. If the diameter of the buoy is 1.3m and the mass of the buoy is 20kg:
a) determine the tension in the wire
b) if this tension produces an extension in the steel wire of 4.0mm, calculate the length of the wire.
Density of sea water is 1030kg/m^3
Youngs modulus for stell is E = 2.0x10^11 N/m^2
Diameter of the steel wire = 8.0mm
(Assume the wire remains in its elastic deformation region. also assume that the mass of the wire is negligible.)
With good explanations and calculations, the problem is solved.