OMEGA Formula: Integrating to Find the Answer

In summary, the conversation is about finding the final formula for calculating the solid angle (OMEGA) using the variables W, L, z, theta, and p. The speaker asks for help in understanding how to solve the problem, as they have already attempted to use the formula D(omega) = dAcos(theta)/p^2, but have not been able to get the correct answer. They also ask for clarification on the terms and variables involved.
  • #1
yugo9
2
0
I guess people who know can help. I know that the final formula should look like this:

(OMEGA) = 4tan^(-1) [(e)/n(1+e^2+n^2)^(0.5)] , where e=W/L, n=2z/L

I started with D(omega) = dAcos(theta)
p^2

cos (theta) = z/p

then i did a bunch of integration, but i can't get the same final answer. Please someone help. Just need to understand how to do this.
 
Physics news on Phys.org
  • #2
This looks like a math question, not physics. It would help if you would explicitly define your terms: W, L, z theta, p. I'll presume OMEGA is solid angle of something. What is the figure you are talking about?

I started with D(omega) = dAcos(theta)
p^2

Above is not clear.
 

1. What is the OMEGA formula?

The OMEGA formula is a mathematical equation used to find the integral of a function. It is a way to calculate the area under a curve, which can be useful in many scientific and engineering applications.

2. How is the OMEGA formula used?

The OMEGA formula is used by plugging in the function and the limits of integration into the equation. This will give a numerical value that represents the area under the curve between those limits.

3. What makes the OMEGA formula different from other integration methods?

The OMEGA formula is unique because it uses a combination of numerical integration and analytical integration techniques. This allows for a more accurate approximation of the integral compared to other methods.

4. What are the applications of the OMEGA formula?

The OMEGA formula has many applications in science and engineering, such as in physics, chemistry, economics, and statistics. It can be used to solve problems involving rates of change and accumulation, as well as finding areas and volumes of irregular shapes.

5. Are there any limitations to the OMEGA formula?

Like any mathematical formula, the OMEGA formula has its limitations. It may not work for all types of functions, and it can be time-consuming to use for more complex integrals. It also relies on accurate inputs and may give incorrect results if there are errors in the function or limits of integration.

Similar threads

I Contradiction in formula for motional EMF
    • Classical Physics
Replies
2
Views
681
I Alternative Approach to Solving Foucault's Pendulum Behavior
    • Classical Physics
Replies
8
Views
1K
Challenge Physics Challenge: Spherical Ball Rolling on a Rough Sphere | Just for Fun!
    • Classical Physics
Replies
16
Views
2K
I Phase space integral in noninteracting dipole system
    • Classical Physics
Replies
2
Views
762
B What is the significance of Δx and Δp in the ideal gas entropy equation?
    • Classical Physics
Replies
2
Views
1K
B Clashing approximations for this precession problem
    • Classical Physics
Replies
5
Views
1K
Block sliding on vertical track with friction (Solved problem)
    • Introductory Physics Homework Help
Replies
2
Views
629
Help using Green’s functions in solving Differential Equations please
    • Advanced Physics Homework Help
Replies
2
Views
1K
B Verifying AI Chatbot's Answer on Brachistochrone Curve Formula
    • Classical Physics
Replies
9
Views
2K
POTW Convergence of Random Variables in L1
    • Math POTW for Graduate Students
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top