This is because the radian is based on the number π which is heavily used throughout mathematics, while the degree is largely based on the arbitrary choice of 360 degrees dividing a circle. While the degree might be more prevalent in common usage, and many people have a more practical understanding of angles in terms of degrees, the radian is the preferred measurement of angle for most math applications. One of the theories suggests that 360 is readily divisible, has 24 divisors, and is divisible by every number from one to ten, except for seven, making the number 360 a versatile option for use as an angle measure.Ĭurrent use: The degree is widely used when referencing angular measures. History/origin: The origin of the degree as a unit of rotation and angles is not clear. Although a degree is not an SI (International System of Units) unit, it is an accepted unit within the SI brochure. Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians. Degreeĭefinition: A degree (symbol: °) is a unit of angular measurement defined by a full rotation of 360 degrees. History/origin: The term "minute" is derived from the Latin "pars minuta prima" which means the "first small part." The minute was originally defined as 1/60 of an hour (60 seconds), based on the average period of Earth's rotation relative to the sun, known as a mean solar day.Ĭurrent use: The minute, as a multiple of the second, is used for all manner of measurements of duration, from timing races, measuring cooking or baking times, number of heart beats per minute, to any number of other applications. Under Coordinated Universal Time, a minute can have a leap second, making the minute equal to 61 rather than 60 seconds. If we then plug in the desired time, 16:34, behold we get 67 deg.Definition: A minute (symbol: min) is a unit of time based on the second, the base unit of the International System of Units (SI). However, Im confused as to how I would then extract hours and minutes from this. This tool will calculate the angles between hour to minute hands and minute to hour hands in a clockwise manner. Therefore, the hour hand moves 0.5 degrees per minute. 360 degrees divided by 720 minutes is 0.5. computeSmallAngle ( ) def computeAngle (self ) : return self. My approach is to find the angle between 2 vectors, and convert it to degrees. It takes 720 minutes for the hour hand to move around the clock. factor - angle ) ) def computeLargeAngle (self ) : return self. computeMinuteAngle ( )Īngle = abs (hourAngle - minuteAngle ) return min (angle, abs (self. The corresponding sundial time will appear in the «local solar time» display window. Enter the local clock time and click «Calculate Result». SimpleTimeHour = simpleTimeHour - maxHour 30 / 60 0.5 The minute hand rotates completely in 60 minutes. You know the local clock time, and you want to calculate the corresponding sundial time in order to assign the currently open time division of the meridian clock to a respective acupuncture strategy. validateTime ( ) def validateTime (self ) : if self. Ask Question Asked 1 year, 10 months ago. The full list of cross over times are: Time(HH:MM)Īlas, I didn’t get the job in the end, but for anybody who has this question, or is simply curious next time they are staring at the clock, the vanilla Python script (version 3 compatible) below should help.Ĭlass Clock ( ) : def _init_ (self, hour, minute, radians ) : We can see from printing out the times at which the angle is a minimum gives us 17:27 (to the nearest minute). For the default time of 2:45:45 in the converter, lets convert to just hours, then just minutes, and then just seconds. This calculator will round to 6 decimal places at most. The obvious follow up question was then - What is the time when the hands next cross? Well to answer this I have plotted the angle as a function of time (in minutes). Enter hours, minutes and seconds to convert from time format of hh:mm:ss, hours:minutes:seconds, to scientific decimal format. Thus, we have (taking the small angle) a difference of 67 degrees, or 1.17 radians if you prefer. Well knowing this we can then simply do 34 X 6 degrees = 204 degrees for the minute hand and (4 X 30 degrees) + (34 X 0.5 degrees) = 137 degrees for the hour hand. However, the hour hand also moves 0.5 degrees for every minute, since the hour hand covers 30 degrees in 60 minutes.
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