Today, we are going to discuss the "Angle Conversion and calculation formulas for degrees, minutes, and secondsHere is a note about "The
In the course of designing a machineDegrees, minutes, and seconds are also used in the backlash of rotating structures.Also, mechanical backlash is often expressed in "minutes" or "seconds" for angles of 1 degree or less because "degrees" is too much.
There are some useful websites for calculating degrees, minutes, and seconds, but this is a basic overview. Please use it to understand the definitions of degrees, minutes, and seconds, and the differences between them.
Degrees, minutes, seconds
Basic "angles" explained
Angle is a quantity or measurement that expresses the magnitude of an angle, and there are "degrees, minutes, and seconds" as units for angles.
English: measure of angle or angle
What is the unit of angle "degree"?
The angle to the center of an arc that divides the circumference into 360 equal parts.
Nomenclature in SI units: 1° = (π/180) rad
Definition of a degree: the angle to the center of an arc that divides the circumference of a circle into 360 equal parts
What is the unit of angle "minute"?
One minute is 1/60th of a degree, and one minute is 1/21600th of an arc.
Nomenclature in SI units: 1′ = (1/60)° = (π/10 800) rad
Definition of minutes: (1/60) degrees
Symbol: ′ (Prime)
What is the unit of angle "second"?
One second is 3600th of a degree, and one second is 1296000th of an arc.
Nomenclature in SI units: 1″ = (1/60)′ = (π/648 000) rad
Definition of seconds: (1/60) minutes
Symbols: ″ (double prime)
Summary of how to calculate degrees, minutes, and seconds (formulas)
Here, I will go over how to convert degrees, minutes, and seconds, and note the formula for the conversion.
convert a degree to a minute
Minute = degree*60
Example: 54 degrees to the minute, 54*60 = 3240 minutes
Convert degrees to seconds
Seconds = degree*3600
Example: To convert 54 degrees to seconds, 54*3600 = 194400 seconds
Convert minutes to seconds
Seconds = minutes * 60
Example: 54 minutes to seconds: 54*60 = 3240 seconds
convert minutes to degrees
Degree = min/60
Example: 54 minutes to a degree is 54/60 = 0.9 degrees
Convert seconds to degrees
Degree = sec/3600
Example: 23 seconds to a degree is 23/3600 = 0.0064 degrees.
Convert seconds to minutes
Minutes = seconds/60
Example: To convert 23 seconds to minutes, 23/60 = 0.383 minutes
Find degrees, minutes, and seconds together in degrees.
Example: 45 degrees, 54 minutes and 23 seconds to the degree is 45 + (54/60) + (23/3600) = 45.906 degrees
The above is the formula for calculating degrees, minutes, and seconds.
That's it.
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Basic calculations
This section contains notes on the basic calculations for mechanical design that I use in my practice. The articles with calculations and the calculations are revised as needed, so please use the latest version when using them. If you have any questions, please feel free to contact me.
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