The Cosmomechanics

Decoding the nature with mathematics &Studying the life of greats !

Showing posts with label Curious Fact. Show all posts
Showing posts with label Curious Fact. Show all posts

Saturday, June 23, 2018

How does the square of 0.1 is smaller than the number | The concept of unity explained

Hey visitors, this is the second post of the day and with the first problem that i faced when i was in 11th standard dealing with the mathematical functions and some how one day the answer strikes in my mind. I was the lucky boy and 3 years later now i am going to explain this to you all so let's get started.


so first of all we will take a number for convenience let's take 0.04 the square root is 0.2

so which number is bigger 0.04 or 0.2 obviously 0.2  but how ? 

and the square of 0.04 is 0.0016 same as the square is smaller then the number.
 

so you get the question now it's time for answer

 
let's first start with number concept natural numbers are the numbers found in nature except this all the numbers are there to define anything for example  -1,-2,-3... all the negative number means they are on the right side of co-ordinate axes




so what's with the number 0.01 ?


0.01 means that the number is 100 times smaller then the number which is taken as the standard or unit.

for example the S.I unit of the distance is meter soit is taken as unit 1 what about millimeter. It is something 1000times smaller then a meter so we can write it as 1/1000 of a meter or 0.001. this is the reason behind the existence of these decimal numbers.



so why the square is smaller ?

square,cube... generally refer to change in dimension of the number

for example 1m is 1000times larger then 1millimeter

so the square of 1m is the area of 1m^2 it's dimension is changed from length to area from 1D to 2D 

but the comparison scale is same now we are comparing an area of 1m^2 to an area of 1mm^2 



which is 10^6 or 1 million times smaller then the area of 1m^2 .


that means it took 1million  1mm^2 square box to make an area of 1 m^2


this is the only reason why the square is smaller because decimal scale are made to compare thing with unity 1mm is 1000times smaller then 1m in length comparison while 1mm^2 is 1million times smaller then 1m^2  for cube it will be 1billion times and so on...

i hope this diagram will explode your imagination 



Thanks for reading!

Tuesday, June 19, 2018

Measuring Earth's radius in greek style || Maths+Sun rays

Here we go today i am going to explain How To Measure Earth's radius ? 

you just need a mountain & stop watch  don't able to afford a mountain alright just know the distance between two cities confused by the end of the article you will be able to understand everything just relaxed. So let's get started

Around the time 275BC there lived a greek Mathematician by the name of Eratosthenes born in cyrene (Modern day Libya).



So How Eratosthenes calculated earth's radius ?

Eratosthenes calculated the distance by the help of knowing the distance between two cities of egypt syene & Alexandria which is about 500 stadia (~ 800km) approx. from each other &these assumptions.

1.Syene is at the tropic of cancer (sun rays straight overhead)
2.The earth is a perfect sphere
3. The alexandria is due north of syene
4.The sun rays coming to earth are parallel


so 7/360 is equals to 800km of the circumference.

By this Eratosthenes able to calculate The circumference hence The radius of earth.

Which was not accurate at that time later other mathematician were able to calculate it.

Fun Fact you can see the sun rise 2 times if you are lying on a beach and suddenly sun started coming into the horizon just pop up frequently you will see the sun rise again !!

At the end Thank you Eratosthenes (276-194) BC and thanks for reading !!

Monday, June 18, 2018

Science Behind Pikachu's Thunderbolt explained !!

When i was a lil kid back in early 20's and pokemon was my fav toon at that time. I was younger then i want my own pokemons like Ash but then i was told these are imaginary toons they don't exist in real life. 
but some how can this be possible the thunderbolt attack of pikachu makes any sense ?
the answer is yes even there are some creature's in nature that show similarity to it.



Q.Why pikachu don't get electrocuted ?? 


Q. How pikachu manage to produce such large amount of current?

Pikachu performing Thunderbolt


Let's leave pikachu for a while and concentrate on a creature that exist in real life and performs thunderbolt by itself i am talking about the electric eel

The question's are same ? How ?


this topic is now going to be explained by The concept of electrical circuit, so let's do some physics

Electric eel in Amazon





Some data's

1.Electrical eel's are able to generate current with biological cells called electroplaques which are physiological emf devices.

2. Each electroplaque has an emf of 0.15V & internal resistance (r) of 0.25 ohm

3.The water surrounding it has an resistance R = 800 ohm

4.The body of eel have 5000+ rows and 100+ column 140 in this case



As you see it is making itself a circuit.

Total emf of the row

Emf (E) = 5000X0.15V =750V

The total resistance along the row is the sum of the internal resistance of 5000 electroplaques

R(row) = 5000X0.25ohm = 1250ohm

Now the total resistance between  the tail &head is
Now circuit in parallel
R(eq) = 140/R(row) = 1250/140 = 8.93 ohm

now applying Kirchhoff's second law of close loop counter clockwise to find the current produced

1.E(row) - iR(water) - iR(eq) = 0

i = E(row)/R(water) + R(eq) = 750/800=8.93 = 0.93 A


This much overall current is generated by eel !!!!


since all the rows are identical, the current into and out is eventually divided among them 

i(row) = i/140 = 0.927/140 = 0.0066 A

2.which is very feeble current hence the eel don't feel any kind of shock itself.
the same concept can be applied in case of pikachu small pores generate current from identicals row's which get summed into massive thunderbolt.

guys i tried my level best to explain this so if you find it hard you need a good concept of kirchhoff's law and circuit i will create a pdf on it to explain you all in details soon.






BLOGWALKING!