What is Buoyancy?

This video explains the concept of Buoyancy.

From: https://www.youtube.com/watch?v=khc2wUBsFU4

What is Buoyancy?

Buoyancy is an upward force exerted by a fluid on an immersed object in a gravity field.

In fluids, pressure increases with depth; hence, when an object is immersed in a fluid, the pressure exerted on its bottom surface is higher than the pressure exerted on its top surface.

This difference in the pressure leads to a net upward force (buoyancy force) which opposes the gravity force and is equivalent to the weight of the fluid that would otherwise occupy the volume of the object, i.e. the displaced fluid.

Thus, if the object is less dense than the fluid, the buoyancy force will be higher than its weight and the object will float; on the contrary, if the object is denser than the fluid, it will sink.

The static balance occurs when the weight of the immersed part of the object is the same as the weight of the displaced fluid, i.e. the densities coincide.

Remark that the density of the object is meant in an averaged way, as a simple ratio between mass and volume of the immersed part.

The most common case is the immersion of a solid into a liquid (e.g. ships in the sea), but that’s not all: a rising bubble (gas in liquid), a falling droplet (liquid in gas) and aerostats (warm air into cold air) are examples of phenomena ruled by buoyancy forces as well.

Surface Tension - Why are drops spherical?

Topic: Surface Tension

Why are drops spherical?

Because personally, I am fond of spherical shapes as compared to squares.

No.

It is because of surface tension.

Surface tension is the property of liquids by which surface molecules of a liquid try to hold the liquid together by acquiring minimum surface area and acting like a stretched membrane.

You know what, everything just went over my head.

Alright. I will explain.

Inside a drop, each water molecule is pulled with a force by its neighboring molecules.

As these forces are equal and opposite, they get neutralized.

However, the molecule present at the surface is not attracted outwards.

It is attracted only inwards and sideways.

Sideways forces get neutralized.

But because of the inward force, each surface molecule contracts to form a shape that has minimum surface area which is a sphere.

From: https://www.youtube.com/watch?v=4WZTzKu3CsY

Fibonacci Sequence in Nature

Fibonacci Sequence

Individuality -- the trademark of any artist, designer, or architect, each desires a uniqueness to their creation, a quality that separates it from any other.  Man naturally has this individuality.–his fingerprint. There are 6.5 billion people on the face of the earth and no two fingerprints are the same.  Everything we touch or make contact with is branded with a small expressed image revealing to all who see it - Who was there! 

Around 1200 AD  a man named Leonard Pisano, better known as Fibonacci, discovered a sequence of numbers that created a very interesting pattern.  The sequence begins with the numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and continues indefinitely.  Each number is obtained by adding the last two digits together.  A rectangle with the length and width of any two of the numbers of this sequence forms what is known as the golden rectangle, a perfect rectangle.  A golden rectangle can be broken down into squares the size of the next F numbers down and below.  If we were to take a golden or perfect rectangle, break it down into smaller squares based on Fibonacci’s sequence, and divide each with an arc, the patterns begins to take shape.   We begin to see Fibonacci’s spiral…the spiral in and of itself is insignificant; its importance is revealed in where we find it.

Take for example the sunflower the display of its florets are in perfect spirals of 55, 34 and 21 -  sequence of  Fibonacci; the fruitlets of the pineapple creates the same sequence;  the pine cone does the same.  As currents move through the ocean and the tide rolls onto the shore,   the waves that bring in the tide, curve into a spiral that can be mathematically diagrammed onto a plot:  1, 1, 2,3,5,8,13,21,34 and 55.

Buds on trees, sand dollars, starfish, petals on flowers and especially the nautilus shell are formed with this exact same blueprint.  With each segment of growth, the nautilus adds to itself one more value on Fibonacci’s scale.  This blue print can be seen around us on a small scale every day.  But the greatest example of all is directly above our heads.  At an average of 100, 000 light years across, even the spiral of the galaxies above us are formed with the exact design that the tiny shell is formed. This sequence, our blueprint, appears to be the trademark of a Designer, a proof of a Creator, something left behind Indicating the One who is there – a fingerprint.   As we span our universe from the tiny flower to the awe inspiring galaxies, we see the fingerprint of God.  And we are forced to ask:  “Who is God?”