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# Calculate tension in a steel wire under water connecting a buoy to the sea bed

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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.

Data:

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.)

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