How Do Density, Gravity, and Height Equate to Pressure?

  • Context: Undergrad 
  • Thread starter Thread starter cytochrome
  • Start date Start date
  • Tags Tags
    Pressure Units
Click For Summary
SUMMARY

The relationship between density, gravity, height, and pressure is established through the equation Pressure = (density)(gravity)(height). In this context, density is measured in kg/m³, gravity in m/s², and height in meters. The resulting unit of pressure is kg/(m·s²), which is equivalent to Pascals (Pa), the standard unit of pressure. This equation is fundamental in fluid dynamics and is crucial for understanding how pressure varies with depth in a fluid.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of unit conversions in physics
  • Familiarity with the concept of pressure as force per unit area
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the derivation of the hydrostatic pressure formula
  • Learn about Pascal's Law and its applications in fluid mechanics
  • Explore the relationship between pressure, volume, and temperature in gases
  • Investigate real-world applications of fluid dynamics in engineering
USEFUL FOR

Students studying physics or engineering, particularly those focusing on fluid dynamics, as well as professionals working in fields that require an understanding of pressure and fluid behavior.

cytochrome
Messages
163
Reaction score
3
How is (density)(gravity)(height) supposed to equal pressure?

density = kg/m^3
gravity = m/s^2
height = m

(kg/m^3)(m/s^2)(m) = (kg/m*s^2)
 
Physics news on Phys.org
Pressure is force/area. What do those units work out to?
 
jtbell said:
Pressure is force/area. What do those units work out to?

Wow nevermind... I'm having one of those late nights working on fluid dynamics homework and I started confusing myself with my tiredness
 

Similar threads

Undergrad How to calculate the "weight" of this piece of metal?
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Relationship between Concentration of a Force and Energy Density
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Calculating Water Pool Depth: Factors to Consider in Fluid Dynamics
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Lift Force of a Rotating Sphere in the Air
  • · Replies 7 ·
Replies
7
Views
3K
Graduate The effect of perpendicular wind at channel inlet
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Newton's second law and pressure wave propagation
  • · Replies 27 ·
Replies
27
Views
3K
Undergrad A gravity conundrum involving a solid cylinder
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What is the approximate pressure at the center of a cool Earth with no gravity?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Not sure Exactly what Pressure I am Solving for in this Form
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Express drag force/acceleration/velocity as function of time
  • · Replies 14 ·
Replies
14
Views
2K