Answer:
Tension = 227.6 N
Explanation:
Applying the equilibrium condition on the cylinder with the downward direction taken as positive:
[tex]Tension + Weight\ of\ Cylinder - Bouyant\ Force = 0\\Tension = \rho Vg - Weight\ of\ Cylinder[/tex]
where,
ρ = density of water = 1000 kg/m³
g = acceleration due to gravity = 9.81 m/s²
V = Volume of water displaced = 70% of Volume of Cylinder
V = [tex]0.7(\frac{Mass\ of\ Cylinder}{Density\ of\ Cylinder} ) = 0.7(\frac{30\ kg}{395\ kg/m^3})[/tex] = 0.0532 m³
Weight of Cylinder = (mass)(g) = (30 kg)(9.81 m/s²) = 294.3 N
Therefore,
[tex]Tension = (1000\ kg/m^3)(0.0532\ m^3)(9.81\ m/s^2) - 294.3\ N\\[/tex]
Tension = 227.6 N
