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Clock, angle between hour and minute hands

작성자 Uploader : narsha 작성일 Upload Date: 2019-08-26변경일 Update Date: 2019-09-04조회수 View : 281

The minute hand moves 360 ° in 60 minutes, so it moves 6 ° in 1 minute.

The hour hand moves 30 ° in 60 minutes, so it moves 0.5 ° in 1 minute.

If you set 12 o'clock as 0 o'clock and let the angle between minute and hour hands at every o'clock as θ0, then,

θ0 = 30*h

Here, angles α and β, by which the minute and hour hands are moved respectively after m minutes, are as follows.

α= 6*m

β= 0.5*m

This, the angle between hour and minute hands is :

θ = θ0 - α + β = 30*h - 6*m + 0.5*m
= 30*h - 5.5*m

When the minute hand passes the hour hand, the angle becomes negative, so the angle between the hour hand and the minute hand is expressed as an absolute value.

θ = abs(30*h - 5.5*m)

*** 참고문헌[References] ***

θ = abs(30*h - 5.5*m)

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현재 위치

Clock, angle between hour and minute hands

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