# Tension to restrain a floating object

## Description

Archimedes’ principle states that “Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object”. An object which tends to float requires a tension restraint force in order to remain fully submerged in a fluid. If the buoyancy of an (unrestrained and unpowered) object exceeds its weight, it tends to rise. If the object would otherwise float, the tension to restrain it fully submerged is related to the density of the fluid , the volume of the fully submerged object and its mass.

Related formulas## Variables

T | Tension to restrain the floating object (N) |

ρ_{f} | Density of the fluid (kg/m^{3}) |

V | Volume of the fully submerged object (m^{3}) |

g | Local acceleration of gravity (m/s^{2}) |

m | Mass of the object (kg) |