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A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute. [1]
The cosine of the hour angle (cos(h)) is used to calculate the solar zenith angle. At solar noon, h = 0.000 so cos(h) = 1, and before and after solar noon the cos(± h) term = the same value for morning (negative hour angle) or afternoon (positive hour angle), so that the Sun is at the same altitude in the sky at 11:00AM and 1:00PM solar time. [5]
The time at that moment is 12:00 P.M., solar time. The clock position to the observer is 12. If the watch is set to uncorrected solar time, both hands point to the sun. In a 12-hour watch, the sun and the hour hand both advance, but not at the same rate; the sun covers 15 degrees per hour, and watch 30.
A simple way to calculate the mean of a series of angles (in the interval [0°, 360°)) is to calculate the mean of the cosines and sines of each angle, and obtain the angle by calculating the inverse tangent. Consider the following three angles as an example: 10, 20, and 30 degrees.
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These subdivisions were denoted by writing the Roman numeral for the number of sixtieths in superscript: 1 I for a "prime" (minute of arc), 1 II for a second, 1 III for a third, 1 IV for a fourth, etc. [13] Hence, the modern symbols for the minute and second of arc, and the word "second" also refer to this system. [14]
(Reuters) -Alphabet's Google asked a U.S. appeals court on Wednesday to throw out a jury verdict and a judge's order forcing it to revamp its app store Play. In its first detailed argument to the ...
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related to: formula to calculate angle between hour and minute hand printable free coloring pagesIt’s an amazing resource for teachers & homeschoolers - Teaching Mama