What is force potential and how does it relate to Bernoulli's Equation?

  • Thread starter Thread starter sarvesh0303
  • Start date Start date
  • Tags Tags
    Force Potential
AI Thread Summary
Force potential (ψ) is a measure of a force's capacity to perform work, defined as the product of force and the distance over which it acts. It relates to Bernoulli's Equation by illustrating how energy is conserved in fluid flow, where potential energy is influenced by the fluid's position and velocity. The equation for force potential can be expressed as W = F x d, indicating the work done by a force. Understanding force potential requires basic calculus concepts, but it can be explained simply for beginners. Overall, it connects to the broader principles of energy conservation in fluid dynamics.
sarvesh0303
Messages
61
Reaction score
2

Homework Statement


I was reading up on the Bernoulli's incompressible flow equation on wikipedia when I came across a thing called force potential(ψ). Could anyone explain what is it ? Is there an equation for finding the force potential at a point?? I would like to know the equation.

Homework Equations



Bernoulli's Equation

The Attempt at a Solution



PS: If it is a calculus concept, please explain it in a simple manner as I am a beginner in calculus and I just started learning Indefinite Integration 2-3 months ago. If it cannot be explained without advanced calculus, then please inform me. :)
Thanks in Advance
 
Last edited:
Physics news on Phys.org
Force potential is a measure of the ability of a force to do work. It is equal to the force times the distance through which it is applied. W = F x d Potential energy is the energy of position. It is the energy of something due to its position in the universe.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top