Calculating Density of Oil Using Buoyant Force Formula | Homework Help

Click For Summary
SUMMARY

The discussion revolves around calculating the density of oil using the buoyant force formula. A block of wood, with a density of 0.67 g/cm³, floats in oil with 90% of its volume submerged. The correct approach involves using the equilibrium condition where the buoyant force equals the weight of the submerged portion of the block. The final formula derived is p(oil) = 0.67 g/cm³ / 0.9, leading to the density of oil being approximately 0.744 g/cm³.

PREREQUISITES
  • Understanding of buoyant force and Archimedes' principle
  • Familiarity with density calculations
  • Knowledge of equilibrium conditions in physics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study Archimedes' principle in detail
  • Learn about buoyant force calculations in different fluids
  • Explore density variations in various materials
  • Practice solving equilibrium problems in physics
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics and buoyancy, as well as educators looking for practical examples of density calculations.

mikefitz
Messages
155
Reaction score
0

Homework Statement



Buoyant force. A block of wood floats in
oil with 90.0% of its volume submerged. What
is the density of oil? The density of the block
of wood is 0.67 g/cm3.

Homework Equations



buoyant force = pgV

The Attempt at a Solution



p(oil) V(oil)=p(h20) V(h20)

p(oil)= p(h20) V(h20) / V(oil)

i know that the V(oil) displaced is equal to .9V(h20)

so, p(oil) = .67 V(h20) / .9 V(h20)

do the terms 'V9h20' simply cancel, leaving me with .67/.9? Thanks
 
Physics news on Phys.org
h20? hmmm where did you get that from,I hope you don't mean H2O because my friend this problem has no water to be seen!

You need to use the fact that the block is in equilibrium, thus the buoyancy force is equal and opposite to another force... hmmmm what could that be. It's really easy, have another go at a solution.
 
gah i was half working on another problem while typing this one out, sorry for the stupid typo; thanks for the response
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 10 ·
Replies
10
Views
4K
Replies
36
Views
4K
Replies
1
Views
6K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
4
Views
2K
  • · Replies 21 ·
Replies
21
Views
21K
  • · Replies 13 ·
Replies
13
Views
12K
  • · Replies 18 ·
Replies
18
Views
4K