|Curl is the ability of some force field to spin you|
|||| Curl basically is a measure of how much a field of force can turn you or spin you about its axis or about your axis.
|Example 2: A whirlpool|
|||| So now you know, why always a partial derivative of x,y and z comes in the equations of curl.
|Havent you wondered why the cross 'X' sign comes in the formula of Curl ?|
|||| These partial derivatives just trace the path of how much the influence of the curling force or spinning force reduce as you move along the x-axis or y-axis or z-axis away from the centre (usually the source) of the curling whirlpool.
THE CROSS IN THE CURL.
|||| Just look carefully into the symbol of the curl, there is a cross in it which looks like 'X'. It comes in the cross-product as well as in the a the Curl.
|||| This Cross is similar to the cross on which Jesus was crucified.
|||| A Cross, needless to say is made of two bars which are fixed perpendicular to each other.
|||| Similarly, the 'X' symbol comes in maths whenever two forces produce maximum impact when kept perpendicular to each other.
But why does the Cross Come in the curl?
|||| The value of Curl is maximum if you are perpendicular to the direction of the flow of field.
|||| Putting in laymans terms, imagine a whirlpool and imagine a plank of wood caught in in. Now just ask yourself, how should the plank be placed so that it collects maximum energy of the whirlpool to keep spinning.
|||| Obviously, when it is kept at 90 degree w.r.t the flow of the river, it is going to collect maximum force of the water.
|Pardon me, I didnt get a plank of wood for the image to explain. I only got something far more bigger though.|
|||| Forget a plank of wood, even if you keep your hand in a column of swirling water kept in a bucket, if you want your hand to be hit by maximum force of the swirling water, you have to place your hand perpendicular to the force of the water.
Other Spectacular examples of Curl in nature and in daily-life
Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
- In other words, the tendency of the pool to make you rotate is a function of your distance from the centre of the whirlpool. If you were in a boat…your boat would not only revolve, but also rotate about itself. This is because the water is hitting your boat strong on one side and weaker on the other side. This causes your boat to Curl.
- Now if the water was to push your boat uniformly in all directions,…..would your boat rotate around its own axis? No right. Because now Curl is absent.
- A better name for curl would be ‘spin’. It is the ability of a field to make you (or another object) spin.
|Massive objects like the sun cause the surrounding space-time to curl thus causing any object to follow a curled orbit|
Objects caught in a storm tend to curl around the eye of the storm. The amount of curl depends upon the distance(x-y co-ordinate) from the storm as well as the height (z co-ordinate) of the object above ground.
CURL PART 2
SIGNIFICANCE OF i, j & k terms in CURL
|||| The i term or i plane lets say indicates revolution about the horizontal plane. That means the object is experiencing a force which is making it revolve in the horizontal plane (much like a planet revolving around the sun or a satellite moving along the equator of the earth)
|CURL AND VORTEX BY THE WAY ARE ONE AND THE SAME|