What is the formula for velocity and time taken of object falling in water

Click For Summary
SUMMARY

The formula for calculating the velocity and time taken of an object falling in water incorporates drag force, specifically utilizing Stoke's law of resistance as a primary approximation. While the basic principles can be understood through Stoke's law, the complexities of fluid dynamics mean that there is no universally simple solution for all scenarios. The discussion references a recent breakthrough by a young student who solved related equations concerning air resistance, suggesting that similar methodologies could be adapted for water resistance calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with Stoke's law of resistance
  • Basic knowledge of drag force calculations
  • Concept of density and volume in physics
NEXT STEPS
  • Research Stoke's law of resistance in detail
  • Learn about drag force calculations in different fluids
  • Explore advanced fluid dynamics equations
  • Study the effects of density and volume on falling objects
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the dynamics of objects falling through fluids, particularly in water.

malek340
Messages
34
Reaction score
0
What is the formula of the velocity and time taken of an object faling in water? I have the mass, the density, the volume of the object and the height distance of the falling object. I know that the drag force is included in the formula but i have idea how to calculate it. So anyone knows this?
 
Physics news on Phys.org
Well, Stoke's law of resistance is the simplest approximation, and in many cases good enough.
In full generality, the problem does not have any simple answer.
Look at the subsection concerning Stokes drag:
http://en.wikipedia.org/wiki/Drag_(physics)
 
i read about how a kid about 15 years old just cracked (within a month or 2 ago) the math behind objects falling with air resistance. id imagine its related to that although it would need to be tweeked, and its doubtful that's been done yet
 
I seem to remember a story that Stoke managed to get his formula whilst sitting a Physics exam in which the Professors had put the 'unanswerable' question of a sphere falling through a fluid, just to give students a hard time. (Ah, those were the days!)
His correct answer caused quite a stir.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 12 ·
Replies
12
Views
7K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K