Why are there 24 hours in a day and 60 seconds in a minute?

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SUMMARY

The division of time into 24 hours per day and 60 seconds per minute originates from ancient Babylonian astronomy, which utilized a base 60 numbering system for tracking celestial movements. The Earth completes a rotation in approximately 23.93 hours, leading to the establishment of the mean solar day as 24 hours to maintain consistency with solar observations. This system was designed to ensure that the sun reaches its highest point in the sky around the same time each day, facilitating navigation and timekeeping. Additionally, the length of a second is now defined by atomic oscillations rather than a fraction of the solar day.

PREREQUISITES
  • Understanding of Babylonian numerical systems
  • Basic knowledge of solar and sidereal time
  • Familiarity with astronomical concepts related to Earth's rotation
  • Awareness of timekeeping standards and definitions
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  • Research the history of the Babylonian base 60 numbering system
  • Explore the differences between solar time and sidereal time
  • Study the impact of the moon's gravity on Earth's rotation
  • Learn about modern timekeeping standards, including atomic time
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Astronomers, historians of science, educators, and anyone interested in the origins and evolution of timekeeping systems.

darkar
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I am curious about this, why we set 24 hours per day, 60 secs per minute?
 
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darkar said:
I am curious about this, why we set 24 hours per day, 60 secs per minute?

A wizard did it.
 
If you watch the stars a lot, you'll notice their location shifts a little each night as the Earth orbits the Sun. There's approximately 360 nights a year, so you could say the amount that each star shifts per night is some unit about 1/360 th of a complete rotation. The Babylonians built a base 60 numbering system based on tracking the stars, hence the 60 minutes per degree and the 60 seconds per minute (and the approximation of 360 days per year - it would be hard to build a numbering system from 365).

The stars also seem to rotate during the night, so the only way you can really use them for navigation is to know what time it is. It only makes sense to make your time units compatible with your position units, hence the 60 minutes per hour, the 60 seconds per minute. Of course, it only takes one day for the Earth to rotate, so the length of the day winds up being 24 hours instead of something more compatible with a base 60 numbering system, but it works well enough.

Edit: Actually, that doesn't really explain why 24 and not some other number since the length of a second didn't have to be the current length. Ideally, the day's segments would be easy to fit back into a circle. The easiest angles are angles like pi/2, pi/3, pi/4, pi/6. pi/12 isn't that much harder than pi/6, and I guess they felt pi/6 was just too long for one hour.
 
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johnchao said:
24 hours in a day is not accurate. The Earth turns around in 23.93 hours.
But then it has to turn a little bit more to keep up with the motion around the sun -> 24 hours in a (mean solar) day.
 
If it was like you're saying (i.e. that one day is 23 hours 56 minutes), then half the year we would have daylight during ordinary nighttime...

What we want is that the sun should be at its highest point in the sky about the same time (12.00) every day. That's why we make sure there is 24 hours between two such events.

(Ok, then we could have day-light saving time and so on, but that's really another story. Also, one hour is not defined as 1/24 of a solar day anymore (it's defined as a certain amount of oscillations in a cesium atom), but the deviation is really tiny, and it's enough to put in some extra second now and then.)
 
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johnchao said:
There is a difference of 3 min.58.91 sec. per day in the watch or clock.
Compared to what?

Compared to a siderial day, yes!
But not compared to a solar day (i.e. an ordinary day)!
 
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EL said:
Compared to what?

Compared to a siderial day, yes!
But not compared to a solar day (i.e. an ordinary day)!
You are right. I am confused.
One day = 24 hours = Daily cycle of the sun.
Daily cycle of star = 23.93 hours.
I get wrong information from some web pages.
 
  • #10
Actually the days are getting longer. The moon's gravity is slowly tugging at the earth, slowing its rotation ever so slightly each year. Billions of years ago the days(rotation of the earth) was only 18 hours long. Eventually the Earth will stop spinning altogether but by that time the sun will have long burned out.
 
  • #11
franznietzsche said:
A wizard did it.

He tutors me on my HW.
 
  • #12
cyrusabdollahi said:
He tutors me on my HW.


That was an 8-bit theater joke, incidently.

How was this thread resurrected? Wtf mate?

I can't make the same necroposting-necrophilia-morrowind joke twice in the the same month.
 
  • #13
franznietzsche said:
That was an 8-bit theater joke, incidently.

How was this thread resurrected? Wtf mate?

I can't make the same necroposting-necrophilia-morrowind joke twice in the the same month.

You're no fun.
 
  • #14
cyrusabdollahi said:
You're no fun.

Yeah but looks aren't everything.
 

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