Worked Example | Calculate Submerged Depth of a Floating Block | Buoyancy

Use Archimedes Principle to find deep a floating block sits in the water. Given the length width and height of this block we can solve for the displacement of fluid by the block, which in turn produces a buoyant force. In order for the Net force on the block to equal zero, the force by gravity is equal to the buoyant force and the buoyant force is equal to the weight of water displaced by the block.

This problem comes up in introductory physics, fluid mechanics, and engineering courses.

[amood]

I can't express how grateful I am. I feel like crying

[adhishpv]

The video was really helpful,
If you have any reference for this video can you share it please?
Thank you

[USVROTOENGINEERS]

Sir, This video is very useful for designing a floater. Thank you

[Klockarbo]

Stupid question, but how do you calculate h = 0, 3?
Thanks for the video!

[danishh]

This question come out in my test and I forgot how to do it <3 lurve

[abinvarghese-gj]

if the block made by mild steel then multiply by density of mild steel to get FW

[GuidoHaverkort]

Is it fair to say that the 'depth to height of the block ratio' is the same as the 'density ratio'?

[USVROTOENGINEERS]

Sir, How finally have you arrived at 0.3M? Can you explain? Thanks

[murphygreen]

If the height were to come up higher than the object would that mean it would sink?

[Gaming-vddv]

Thank you sir, but isn't there a force acting on the block from the pressure of the atmosphere so the force F =pA(area of the block)? Then the forces would be Fb = Fg + F(air?)?

[Greg_Chase]

Since gravity is a buoyant force in a vector pointed at Earth, interesting math awaits to shed light on why 'buoyancy' of an object of matter FROM space TOWARDS Earth is never quenched (except by the blockage created by the surface of the planet).

An object of matter that is in space, and is too far from any celestial body to exhibit any acceleration, is not buoyant. It is at rest in space.

But if the matter object is brought near a celestial body, it gains an unquenchable buoyancy that is only 'arrested' by the planet's surface halting its buoyant acceleration.

The conventional math describing this 'buoyancy' is F = mg and GPE (gravitational potential energy) = mgh.

But with buoyancy of a matter object in water, we know the exact physical nature of the source of the buoyancy.
The 'buoyancy' of matter objects accelerating toward a celestial body is also due to a pressure gradient, but it is an electromagnetic gradient created by the constituents of so-called 'empty' space.

And that is the kicker - conventional belief is that space is empty, so there is no way to create a pressure differential.

But there IS an acceleration gradient. The exact physical nature of the source of the acceleration gradient - is a worthy line of inquiry.
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[ahmadjauhar]

thank you so much, this is what i just need to bus

[PedroC-hkpo]

Definately this knowledge was used in teh construction of teh pyramids some how.

[hapless_]

Good explanation, switch off the annoying music, ahrd to hear what you're saying.