How to Calculate Metacentric Height for Stability of a Floating Body?

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 4K views
thebest99
Messages
32
Reaction score
0
Hi

i am not goin goin going to lie Fluid Mechanics is not my strongest subject.

Im struggling to calculate the Metacentric height.

Ive got the following:

Total weight of assembly (W) = 2.447kgf
Ajustible weight (w) = 0.204kgf
Breadth of pontoon (L) = 360mm
Height of metacentre above centre of buoyancy = 1.041m
Depth of immersion =3.33
Depth of centre of buoyancy = 19.4mm

i have other calcs, but need someone to show how to work out to get Metacentric height.

Any help will be great. Thanks
 
Physics news on Phys.org
I've forgotten anything I learned in fluid mechanics. :redface: but I do remember the term Metacentric Height! Wiki reminds me that MH is the distance of the metacentre above the centre of gravity. So, looks like it comes down to pinpointing the centre of gravity of your loaded pontoon.

Can those other data give any help to this?

BTW, are you lacking care with units? You have m, mm, and none mixed in there.