Clocks

Clocks are an essential appliance and integral part of our lives, as it helps in measuring time and scheduling out tasks within a fixed time period. There are several methods or also can be called themes, which are often used by mathematicians to represent the 12 digits of an analog clock. The concept of knowing time is an easier task; however, there are a few interesting facts and relations associated with time. Knowing the math behind time enables one to know new facts about clocks.   

Discussion 

Significance of clock

Cocks are appliances that allow one to measure time and have become an integrated part of life. No one can ever think one day without looking at the time, as in today’s digitalized world, everything is time-bound. Structuring daily activities in a proper schedule, so that every task is completed within a fixed time period enables one to gain more experience, while developing skills. Whether it be associated with external tasks or internal feelings, it has been always known that time is capable of healing anything. Whether it is any bad memory for a wound, time heals internal feelings and makes one forget the worse memories. 

The math associated with clocks

Analog clocks have 12 numbers written on them, and in general two hands, one showing a minute and another one showing an hour. Based on the position of these two hands one is able to determine the time, and fix schedules. However, these numbers of clocks can also be written alternatively. Taking the example of the number 4, which can be written as 2+2 and alternatively can also be written as 2*2, hence 4 can be replaced by []. alternative form of a particular number is completely based on preference, and in a similar form starting with a particular number can help in determining the others, like 10 can be denoted by the [.]. The rest of the numbers can be determined either by the Basel equation, or one can even try to use Euler’s identity. Several mathematicians have also tried replacing 12 numbers of clock with the first twelve terms of the Fibonacci series, or even writing alphabets starting with A up to L. These are helpful in certain fields of math, and also create the concept of clock more interesting. Several themes can be used, like if one fixes any number between 1 to 9 and then tries to represent each number from 1 to 12 of an analog clock with a few small expressions then it is a little tricky, but makes the concept more interesting. Taking as an example let the number be 7, then 1 can be written as 7/7, or 6 can be represented as (7*7-7)/7, and 9 can be written as (77+7*7)/(7+7). Each and every digit on the clock can be represented just by using 7. 3 There are several other themes, as one may also try to represent all the numbers in the form of factorial, cubes, cube roots, squares, or square roots. Even the Euler’s number is a possible one in this matter, where 2 can be represented as [e-(e/e)], 7 can be denoted by [e*e], and so on. One might have known the use of a binary clock, as computers understand the language of binary digits, now the interesting fact here lies with its use in clocks like 12 is 1100, and 6 is 110, and so on.      

Learning time

The basic mathematics associated with clock is when the hour hand which is the smaller one, completes a rotation as it has swapped an area of A=πr2, where r is the radius of the circle in which the hands move, it completes 360 degrees, which means 1 hour has passed. Hence, this is how the degree is linked with time. Similarly, when the minute hand, which is the taller one, has completed one round then 1 minute has been covered, and 1 hour consists of 60 minutes. That is the minute hand rotates 60 times to complete 1 hour. However, there are several clocks like the clock tower of London named Big Ben and the Chelsea Ship’s Bell which is a mechanical clock, which attracts thousands of people from other countries to have a look. These clock are not just simple clock, like those in our houses, they have a few interesting facts associated with like Big Ben needs a specific amount of pennies to show the correct time, which is due to the reason that if few of them are removed then the center of mass of the whole system gets changed which alters’ the speed of the clock by 0.4 seconds each day.     

Conclusion

The clock is essential for scheduling daily activities properly while saving time to develop new skills and make experiences. One can start representing the numbers from 1 to 12 in several styles, like the Fibonacci series, or using alphabets from A to L. Several other themes are used by mathematicians to represent the digits of a clock, and this makes mathematics associated with clocks more interesting. The concept of time is a commonly known one, however, there are few interesting and exclusive clocks situated in several countries which do not operate simply like those in our houses. They are associated with concepts like the center of mass or gravitational force which determine the time and help to extend different types of calculation in a proper manner.