Calculating Liquid Mass in a Vat with Varying Diameter and Depth

  • Thread starter Thread starter jkb
  • Start date Start date
  • Tags Tags
    Liquid Pressure
Click For Summary
SUMMARY

The discussion centers on calculating the mass of liquid in a vat with a diameter of 1.90 m and a depth of 2.70 m, where the pressure at the bottom is 1.30 atm. Participants highlight the importance of accurately determining the volume of the liquid, noting that assuming the vat is a simple cylinder may lead to incorrect results. The formula for density, ρ = m/V, is referenced, emphasizing the need for precise volume calculations. The conversation concludes that without a clear understanding of the vat's shape, the volume cannot be accurately computed.

PREREQUISITES
  • Understanding of fluid density and the formula ρ = m/V
  • Knowledge of volume calculation for different geometric shapes
  • Familiarity with pressure concepts in fluid mechanics
  • Basic mathematical skills for volume and density calculations
NEXT STEPS
  • Research mathematical formulas for calculating the volume of non-cylindrical shapes
  • Learn about hydrostatic pressure and its relation to fluid depth
  • Explore the implications of varying vat shapes on liquid mass calculations
  • Study real-world applications of fluid mechanics in engineering contexts
USEFUL FOR

Students and professionals in engineering, physics, and fluid mechanics who are involved in calculations related to liquid mass and pressure in varying geometrical containers.

jkb
Messages
8
Reaction score
0
A 1.90 m-diameter vat of liquid is 2.70 m deep. The pressure at the bottom of the vat is 1.30 atm. What is the mass of the liquid in the vat?

I found the density of the fluid but now I'm stuck and I really can't get my mind around this even though i know its going to turn out being so easy...thanks the help in advance!
 
Last edited:
Physics news on Phys.org
Density is given by

\rho = \frac{m}{V}

so you need to determine the volume of liquid in the vat.
 
Well, since a vat can isn't necessarily a cylinder how would I go about doing that? I tried to assume the vat was a cylinder and found that volume but the answer wasn't correct.
 
why do you say that? what makes you think it is not a cylinder?
 
Well i used the volume of a cylinder formula and found the volume and then using the density i found the mass but that answer was incorrect and i don't think i made any mistakes in the calculation so that's where i got stuck...
 
oops, nevermind me
 
Last edited:
jkb said:
Well i used the volume of a cylinder formula and found the volume and then using the density i found the mass but that answer was incorrect and i don't think i made any mistakes in the calculation so that's where i got stuck...
well the problem stated that there was a diameter and a depth IE an cylinder. can you show us your work?
 
It is not really sensible to talk of a diameter if it changes. Unless there is a mathematical formula for calculating the volume of such a vat shaped object.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 3 ·
Replies
3
Views
9K
  • · Replies 9 ·
Replies
9
Views
1K
Replies
1
Views
2K
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K