Pressure derivation If possible, fast please.

Click For Summary
SUMMARY

The discussion centers on the derivation of the pressure formula P=Po+(mg)/(π*r^2). The user initially derived P'(r)=(2mg/π(r^3))*Δr but was informed by their teacher that they neglected to include the terms ΔPo and Δm in their calculations. This oversight highlights the importance of considering all variables in laboratory work, particularly when performing error analysis.

PREREQUISITES
  • Understanding of calculus, specifically differentiation
  • Familiarity with pressure equations in physics
  • Knowledge of laboratory error analysis techniques
  • Basic grasp of variables and constants in mathematical formulas
NEXT STEPS
  • Study the concept of partial derivatives in calculus
  • Learn about error propagation in laboratory measurements
  • Review the application of pressure equations in fluid mechanics
  • Explore the significance of constants and variables in mathematical modeling
USEFUL FOR

Students in physics or engineering courses, laboratory technicians, and anyone involved in experimental design and error analysis.

kristiine_c
Messages
1
Reaction score
0

Homework Statement



I' have formula P=Po+(mg)/(π*r^2)

I need to derive it.
I have derived it P'(r)=(2mg/π(r^3))*Δr

but it's incorrect. The teacher wrote me "You have forgotten about ΔPo and Δm!"
I don't know how I could derive it. It's for mistake calculation in laborotory work!
 
Physics news on Phys.org
kristiine_c said:

Homework Statement



I' have formula P=Po+(mg)/(π*r^2)

I need to derive it.
I have derived it P'(r)=(2mg/π(r^3))*Δr

but it's incorrect. The teacher wrote me "You have forgotten about ΔPo and Δm!"
I don't know how I could derive it. It's for mistake calculation in laborotory work!

Your question is without context.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
Replies
6
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 5 ·
Replies
5
Views
2K