What is the height of water in an inclined capillary tube?

Click For Summary
SUMMARY

The height of water in an inclined capillary tube can be calculated using the formula h = [2S(cosA)]/[rpg], where S is surface tension, A is the contact angle, r is the radius of the capillary, p is the density of the liquid, and g is the acceleration due to gravity. When the tube is inclined at 45 degrees, the effective height of the liquid column changes due to the angle, requiring adjustments to the formula. The original height of 10 cm in a vertical position translates to a different height when the tube is inclined, specifically 10/(2)^(1/2) cm. Understanding the pressure dynamics at a fixed point in both vertical and inclined positions is crucial for solving this problem.

PREREQUISITES
  • Understanding of capillary action and surface tension
  • Familiarity with basic physics concepts such as pressure and gravity
  • Knowledge of trigonometric functions, particularly cosine
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the effects of surface tension on liquid behavior in capillary tubes
  • Learn about the relationship between angle of inclination and height in fluid mechanics
  • Explore advanced applications of capillary action in various materials
  • Investigate the implications of pressure changes in inclined tubes
USEFUL FOR

Students studying physics, particularly those focusing on fluid mechanics, as well as educators and anyone interested in the principles of capillary action and its applications in real-world scenarios.

vissh
Messages
82
Reaction score
0
heya :D

Homework Statement


(Q)Water rises in a vertical capillary tube upto a length of 10 cm. If the tube is inclined at 45 degrees, the length of water risen in the tube will be
<a>10 cm <b>10/(2)1/2 <c>10(2)1/2 <d>None of these

Homework Equations


Height raised in capillary, h = [2S(cosA)]/[rpg]
--where S is surface tension, A is the contact angle , r is the radius of capillary , p is the density of liquid and g is acceleration due to gravity

The Attempt at a Solution


I know this above formula for height of liquid when the capillary is kept vertical .But don't know how to use it for the inclined capillary.
Can any1 help me out :)
Thanks for reading ^.^
 
Physics news on Phys.org
Think about this: To keep the pressure at a height 'h' from the ground equal, the level of mercury changes when the tube is inclined. Think about pressure at a fixed point in both the cases :wink:
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
14K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 5 ·
Replies
5
Views
5K