Why degree measure of angles are further divided in min,sec

  • Context: Undergrad 
  • Thread starter Thread starter prashant singh
  • Start date Start date
  • Tags Tags
    Angles Degree Measure
Click For Summary
SUMMARY

The discussion explains the necessity of subdividing degrees into minutes and seconds for precise measurements in astronomy, particularly when calculating distances between celestial objects. It highlights that the nearest star is approximately 4.32 light years away, necessitating finer angular measurements for accuracy. The relationship between angular measurements and time is also established, noting that one degree equals 60 minutes and 3600 seconds, paralleling the 360 days in a year. This connection underscores the importance of precise angular measurements in both navigation and understanding celestial mechanics.

PREREQUISITES
  • Understanding of angular measurements (degrees, minutes, seconds)
  • Basic knowledge of astronomy and celestial distances
  • Familiarity with the concept of circular motion and its relation to time
  • Awareness of the Earth’s orbit and axial tilt
NEXT STEPS
  • Research the methods of measuring astronomical distances using parallax
  • Explore the history of angular measurement systems in astronomy
  • Learn about the mathematical principles behind angular velocity and circular motion
  • Investigate the significance of the celestial coordinate system in navigation
USEFUL FOR

Astronomers, physics students, educators, and anyone interested in the precise measurement of celestial distances and the relationship between time and angular motion.

prashant singh
Messages
56
Reaction score
2
Whats the relation between degree and time, is there any historical answer.
 
Mathematics news on Phys.org
  • Like
Likes   Reactions: CalcNerd
A degree can be broken into even smaller measurements, much like a foot can be broken down into inches, and say, centimeters. One practical reason we break a degree into even smaller parts is so we can accurately measure the nautical space between distant objects in deep space. I don't have a specific example, but consider the following:
The sun is roughly 92.95 million miles away from Earth. Now think of when you look into a night sky and see stars. The nearest star is 4.32 light years (2.5396X10^13 miles) away from earth. If you wanted to figure out the distance between the nearest star and a star nearby it, you would have to measure the angle in more precise units (minutes and seconds). This is because even an angle as small as 0degrees,0minutes, and 30seconds has a big arc length when the two objects at the end are, for instance, the distance from the Earth to two distance stars.
If you don't understand what I'm saying then try this. Find two distant objects (the farther from you the better) (trees, buildings, ext.).Make an angle with your pointer finger and your index finger and line the tips of your fingers up with these two distant objects. Notice that although the angle between your fingers is rather small, the distance between the two distant objects is rather big. Now imagine keeping your fingers fixed on these objects and walking backwards. The distance between the two objects stays fixed, but as you get farther and farther away from the objects, the angle your fingers make will get smaller, and smaller.
In short, we need smaller units of angle measures (other than a degree) so we can more accurately measure distant objects.

Lastly, there is a relation between angles measured in degree, minutes, and seconds and time.
Circular motion, and rotation create angles. Its not a coincidence that there are roughly 360 days in a year, and 360 degrees in a full rotation. This means that as the Earth orbits the Sun, every day, the Earth travels through about one degree of its orbit. There is a relation between time and our position around the sun (hence why our calendar has named seasons, Although the seasons we experience are due to both our position around the sun and because of Earth's axis being tilt).

One degree is 60minutes. 60 minutes is 3600seconds. This statement holds true for measurements of time as well. I'm not sure who first came up with the concept of angular measurements, but I'm willing to bet its a very old astronomer.
 
Last edited:
  • Like
Likes   Reactions: prashant singh
Wow thanks great help
BreCheese said:
A degree can be broken into even smaller measurements, much like a foot can be broken down into inches, and say, centimeters. One practical reason we break a degree into even smaller parts is so we can accurately measure the nautical space between distant objects in deep space. I don't have a specific example, but consider the following:
The sun is roughly 92.95 million miles away from Earth. Now think of when you look into a night sky and see stars. The nearest star is 4.32 light years (2.5396X10^13 miles) away from earth. If you wanted to figure out the distance between the nearest star and a star nearby it, you would have to measure the angle in more precise units (minutes and seconds). This is because even an angle as small as 0degrees,0minutes, and 30seconds has a big arc length when the two objects at the end are, for instance, the distance from the Earth to two distance stars.
If you don't understand what I'm saying then try this. Find two distant objects (the farther from you the better) (trees, buildings, ext.).Make an angle with your pointer finger and your index finger and line the tips of your fingers up with these two distant objects. Notice that although the angle between your fingers is rather small, the distance between the two distant objects is rather big. Now imagine keeping your fingers fixed on these objects and walking backwards. The distance between the two objects stays fixed, but as you get farther and farther away from the objects, the angle your fingers make will get smaller, and smaller.
In short, we need smaller units of angle measures (other than a degree) so we can more accurately measure distant objects.

Lastly, there is a relation between angles measured in degree, minutes, and seconds and time.
Circular motion, and rotation create angles. Its not a coincidence that there are roughly 360 days in a year, and 360 degrees in a full rotation. This means that as the Earth orbits the Sun, every day, the Earth travels through about one degree of its orbit. There is a relation between time and our position around the sun (hence why our calendar has named seasons, Although the seasons we experience are due to both our position around the sun and because of Earth's axis being tilt).

One degree is 60minutes. 60 minutes is 3600seconds. This statement holds true for measurements of time as well. I'm not sure who first came up with the concept of angular measurements, but I'm willing to bet its a very old astronomer.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
1K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K