Free falling spinning rectangle

In summary, a rectangular piece of paper falls slower than other shapes of paper due to its edge-on orientation, which reduces air resistance. The possibility of generating electricity from a free-falling propeller is also discussed, with the reminder that what goes up must come down.
  • #1
kurious
641
0
A rectangular piece of paper spins rapidly about its longitudinal axis as it falls
through the air.It takes longer to reach the ground than other shapes of paper.Why is this given that it spends a lot of time edge on to the flow of air and so encounters less resistance from the air than a surface of constant horizontal orientation?
And could I generate enough electricity from a free falling propeller to do something useful with - even if it's only going to turn on a light so I can read a book as I parachute from a plane at 2 in the morning.
 
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  • #2
I don't know what you meant about air resistence and stuff,
but I figure that the spinning part depends on start conditions
of the fall, air streams, and lack of symmetry.

As for generating power from a falling propeller, of course
it could be done. But remember the saying (in reveres though ;) ):
what comes down must first go up. :biggrin:

Live long and prosper.
 
  • #3


This phenomenon can be explained by the concept of air resistance or drag. As the rectangular paper falls, it experiences two types of drag - form drag and skin friction drag. Form drag is caused by the shape of the object, and in this case, the rectangular paper has a larger surface area compared to other shapes of paper. This means that it will experience a greater amount of form drag, slowing down its descent.

Additionally, the paper's rapid spinning motion also creates turbulence, which increases the drag force acting on the paper. This further slows down its descent and causes it to take longer to reach the ground.

As for generating electricity from a free-falling propeller, it is possible but would require a significant amount of energy to overcome the drag force and maintain a constant spinning motion. It is unlikely that this amount of energy could be generated from a small propeller to power something useful, such as a light. However, with larger and more efficient propellers, it may be possible to generate enough electricity for basic tasks during a free fall.
 

Related to Free falling spinning rectangle

1. What is a free falling spinning rectangle?

A free falling spinning rectangle is a physical phenomenon that occurs when a rectangular object is dropped from a certain height and simultaneously spun around its vertical axis. This results in the object following a curved path as it falls, rather than a straight line.

2. What causes a free falling spinning rectangle?

The rotation of the rectangle creates a force known as the Magnus effect, which acts on the object as it falls and causes it to deviate from a straight path. This effect is similar to what happens when a spinning soccer ball curves in the air.

3. How does the shape of the rectangle affect its motion?

The shape of the rectangle can greatly influence its motion during free falling spinning. A longer rectangle will experience a greater Magnus effect and therefore have a more pronounced curved path. Additionally, a rectangle with a wider width will have a slower rotation and a tighter curve compared to a narrower rectangle.

4. Is there a specific speed at which a free falling spinning rectangle will reach a stable rotation?

Yes, there is a specific speed known as the critical speed at which a free falling spinning rectangle will reach a stable rotation. This is determined by the dimensions and weight of the object, as well as the air resistance and gravity acting on it.

5. What are the practical applications of studying free falling spinning rectangles?

Studying free falling spinning rectangles can provide insight into the principles of aerodynamics and fluid mechanics, which have many practical applications such as in designing aircraft and sports equipment. It can also help us better understand the behavior of objects in free fall, which is important in fields like physics and engineering.

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