I Fluid Mechanics: Wooden plank floating in water at an angle

  • Thread starter TkoT
  • Start date
4
2
Summary
it is a worked example. I am confused why the mass of water displaced =(2lp/cos theta),but not (pl/cos theta)?
i think the volume of the water displaced is equal to that of the immersed part OC which is (l/costheta)Xcross-section area. then the mass of water should be pl/costheta, but the answer is not that one. what is the fault in my thinking?
1571618520503.png
1571618529690.png
 
Last edited by a moderator:

BvU

Science Advisor
Homework Helper
12,481
2,796
Plank has density ##\rho = 0.5##. Water has ##2\rho##.

I find it much better to use a subscript in such cases: ##\rho_{\text {water}}l/\cos\theta## (plus add an upper limit for ##\theta## for a check later on... )
 
4
2
Plank has density ##\rho = 0.5##. Water has ##2\rho##.

I find it much better to use a subscript in such cases: ##\rho_{\text {water}}l/\cos\theta## (plus add an upper limit for ##\theta## for a check later on... )
thank you for your help
 

Related Threads for: Fluid Mechanics: Wooden plank floating in water at an angle

  • Last Post
Replies
6
Views
4K
Replies
2
Views
2K
Replies
7
Views
2K
Replies
4
Views
3K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
1
Views
1K

Hot Threads

Top