MHB Water Displacement Volume question

AI Thread Summary
Discussions about water displacement clarify that the volume of an object is not simply the volume of displaced water. Instead, the volume is calculated by determining the dimensions of the water displaced, which involves measuring the height difference when the object is submerged. In this case, a height difference of 0.02m, along with the bridge's length of 3.5m and width of 2m, results in a calculated volume of 0.14m³. This understanding resolves initial confusion about the relationship between displaced water and the object's volume. The explanation effectively highlights the correct method for calculating volume through displacement.
akarikairi
Messages
6
Reaction score
0
Sorry if this is the wrong category for this.

I am mostly confused about this question because I thought that displaced water WAS the volume of any given object. I'm confused by the reasoning of the actual answer for this. Is there something I'm missing here?

View attachment 4707
 

Attachments

  • math prob2.jpg
    math prob2.jpg
    31.2 KB · Views: 95
Mathematics news on Phys.org
The difference between the height of water when the bridge is immersed minus the height of the water when the bridge is removed is 0.02m. This is not the volume of the bridge; you need to calculate the volume of water with a height of 0.02, a length of 3.5m and a width of 2m:

$$3.5\text m\times2\text m\times0.02\text m=0.14\text m^3$$

This is the volume of the bridge.
 
Ah ok, that makes sense. I see it now. Thanks for clearing that up :)
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top