Mathematical formulas on clocks and watches

The mathematical formula on the clock is: x/5=(x+a)/60 a is the number of squares in front of the clock. Suppose: at 3: 45, what is the angle between the minute hand and the hour hand? Solution:

Let the scale line of 0 (12) be the starting line of 0 degree, because the minute hand turns 360/60 = 6 degrees per minute, the hour hand turns 360/720 = 0.5 degrees per minute, and the hour hand turns 30 degrees at 1 hour.

So at 3: 45, the angle between the hour hand and the 0-degree starting line is 90+0.5 * 45 = 1 12.5, and at 3: 45, the angle between the minute hand and the 0-degree starting line is 6 * 45 = 270, so the angle between the hour hand and the minute hand is 270-65438+.

Description of electronic clock function:

24-hour or 12h timing mode can be selected, and the display time is minutes and seconds; It has the function of quickly calibrating hours and minutes. You can set the alarm time, which is 1min. If it exceeds 1 min, it will stop automatically. With the function of manually stopping the alarm, it will not be operated again after stopping the alarm, and the alarm will not happen again; It has the function of telling time.

The main circuit system consists of a second signal generator, an hour-minute-second counter, a decoder and a display, a time correction circuit and a time telling circuit. The second signal generator is the time base signal of the whole system, which directly determines the accuracy of the timing system. Generally, it is realized by quartz crystal oscillator and frequency divider.

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