Calculating pressure on a surface after reaching final velocity

Click For Summary
SUMMARY

The discussion focuses on calculating the pressure exerted on a surface by an 18 lb ball dropped from a height of 18 inches. The final velocity upon impact was calculated to be approximately 3 m/s. To determine pressure, participants emphasized the need to calculate force using the formula Force = change in momentum per second, which requires knowledge of the impact duration. The impact time can vary significantly based on the ball's material, ranging from 1 second for a soft ball to 1/100 of a second for a hard ball.

PREREQUISITES
  • Understanding of basic physics concepts such as force, velocity, and pressure
  • Familiarity with the equation of motion: 2ad = Vf^2 - V0^2
  • Knowledge of SI units for mass and distance
  • Ability to calculate momentum and its relation to force
NEXT STEPS
  • Research the relationship between impact time and force calculation
  • Learn about pressure calculation using Force/Area
  • Explore different materials' properties to understand their impact behavior
  • Study momentum conservation principles in collision scenarios
USEFUL FOR

Engineers, physicists, packaging designers, and anyone involved in impact testing and material durability assessments will benefit from this discussion.

tegefe
Messages
1
Reaction score
0
I have a question. I'm conducting a drop test for packaging material and I need to find the pressure at the point of impact.
What I did was drop a 18 lb ball 18".
I converted the mass to 3.629g and the distance to 0.4572m to work in S.I. units
then used the equation 2ad=Vf^2-V0^2. Afetr doing the math I got my Vf=2.993 m/s^2, but now I have to convert that final velocity to pressure and I have no clue as to how to go about it. Can you assist?
 
Physics news on Phys.org
Some things wrong with your information! an 18 lb ball is more like 9kg.
Its velocity when it hits the ground is 3m/s (not m/s^2).
To find pressure you need Force/area and to calculate the force due to an impact you need to have some idea of the time taken for the ball to come to rest.
(Force = change in momentum per second) If you do not know the time for the impact and you have no way of measuring it then you must make an educated guess!
If it is a 'soft' ball it may take up to 1 second to come to rest.
If it is a 'hard' ball (like a bowling ball) it may come to rest in about 1/100 of a second.
This will give a wide range of force during impact but if your investigation is a practical exercise I hope this will be of some help.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
21K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
6K
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
10K