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28 CHAP

# 28 CHAP - 28 CLOCKS IMPORTANT FACTS The Face or dial of a...

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28. CLOCKS IMPORTANT FACTS The Face or dial of a watch is a circle whose circumference is divided into 60 equal parts, called minute spaces . A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand. . i) In 60 minutes, the minute hand gains 55 minutes on the hour hand. ii) In every hour, both the hands coincide once. iii) The hands are in the same straight line when they are coincident or opposite to each other. iv) When the two hands are at right angles, they are 15 minute spaces apart. v)When the hand's are in opposite directions, they are 30 minute spaces apart. vi)Angle traced by hour hand in 12 hrs = 360°. vii)Angle traced by minute hand in 60 min. = 360°. Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time , 8 is said to be 15 minutes too fast. On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow. SOLVED EXAMPLES Ex 1 :Find the angle between the hour hand and the minute hand of a clock when 3.25. Solution :angle traced by the hour hand in 12 hours = 360° Angle traced by it in three hours 25 min (ie) 41/12 hrs=(360*41/12*12)° =102*1/2° angle traced by minute hand in 60 min. = 360°. Angle traced by it in 25 min. = (360 X 25 )/60= 150° Required angle = 1500 – 102*1/2°= 47*1/2°

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Ex 2: At what time between 2 and 3 o'clock will the hands of a clock be together ? Solution:
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28 CHAP - 28 CLOCKS IMPORTANT FACTS The Face or dial of a...

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