Projected Area Theorem: Exploring Physics Interests & Solutions

  • B
  • Thread starter Rahul Manavalan
  • Start date
  • Tags
    Area Theorem
In summary, there is a question about why projected area is more commonly used than surface area in physics, even though surface area could provide a solution in simpler geometries. This question arose when calculating surface tension in a circular water jet and when calculating bearing area. The reasoning behind this discrepancy is that in practical applications, forces on curved surfaces often cancel each other out, making projected area a more useful measure.
  • #1
Rahul Manavalan
10
0
I wonder why projected area has been of much interest among physics communities, while the surface area could well be the solution unless any complex geometries are involved.
The question popped up in my head when the surface tension in a water jet was derived. Clearly the jet has a circular cross section.
Why not the curved surface area 4*(pi*r^2).
Other instance was when dealing with a bearing area calculation.
This puzzles me a great deal.
Hope someone could show me a way.
 
Physics news on Phys.org
  • #2
In practical applications it usually comes down to components of forces acting on curved surfaces summing in one direction and cancelling in another direction .
 

What is the Projected Area Theorem?

The Projected Area Theorem is a principle in physics that states that the force experienced by an object due to fluid pressure is equal to the projected area of the object multiplied by the pressure and the cosine of the angle between the object and the direction of the fluid flow.

How is the Projected Area Theorem used in physics?

The Projected Area Theorem is used to calculate the force exerted on an object by a fluid, such as air or water, when the object is placed at an angle to the direction of the fluid flow. It is commonly used in fields such as aerodynamics and hydrodynamics, where understanding the forces acting on objects in fluid flow is important.

What are some real-life applications of the Projected Area Theorem?

The Projected Area Theorem has many practical applications, such as in designing efficient airplane wings, calculating the drag force on a car, and predicting the lift force on a sailboat. It is also used in analyzing the forces acting on buildings and structures during windstorms.

How does the Projected Area Theorem relate to other principles in physics?

The Projected Area Theorem is related to other principles in physics, such as Bernoulli's principle and Newton's laws of motion. It is particularly relevant to the study of fluid dynamics, as it helps explain the forces acting on objects in fluids. It is also used in conjunction with other principles to solve complex problems in engineering and physics.

Can the Projected Area Theorem be applied to non-fluid situations?

While the Projected Area Theorem is primarily used in fluid dynamics, it can also be applied to non-fluid situations. For example, it can be used to calculate the force exerted on an object by wind or air resistance. However, it may not be as accurate in these situations as other principles, such as Newton's laws, may be more applicable.

Similar threads

A Unsolved Problems in Near Surface Geophysics
    • Other Physics Topics
Replies
2
Views
590
I Area of an inclined surface with respect to the original surface
    • General Math
Replies
5
Views
3K
Static B.C & first moment of area of connecting rod
    • Engineering and Comp Sci Homework Help
Replies
4
Views
362
Other Need advice regarding choosing my master's research project in theoretical physics and applied maths
    • STEM Academic Advising
Replies
6
Views
600
Lightning -- real simulation
    • Electrical Engineering
Replies
3
Views
470
I The surface area of an oblate ellipsoid
    • Calculus
Replies
8
Views
1K
Water deformation subjected to ultrasound waves
    • General Engineering
Replies
4
Views
2K
Schools What are some good science fair project ideas or resources?
    • STEM Academic Advising
Replies
5
Views
2K
Bernoulli vs. Reynold Transport Theorem Problem for Raincap
    • Mechanical Engineering
Replies
11
Views
1K
B Guidance on Physics Extended Project Qualification
    • Other Physics Topics
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top