The analog clock typically has three hands; a smaller one called the hour hand, a larger one called the minute hand and a slender long hand called the second hand. The dial of the clock is a circle whose circumference is divided into 60 equal parts. Each part is called a minute space.
For one complete revolution of the second hand, the minute hand covers one-minute space, and the time is taken for this is called a minute. For one complete revolution of the minute hand, the hour hand covers five-minute spaces, and the time taken for this is called an hour.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
Important Pointers to master clock problems
- At any given point of time, the hour hand and the minute hand make an angle between 0° and 180° with each other.
- The angle covered by the 60-minute spaces on the face of the dial is 6°.
- The minute hand covers 6° per minute and the hour hand covers 30° per hour or per minute.
- In 60 minutes, the minute hand gains 55 minutes on the hour hand.
- In any one hour, the hour hand and the minute hand coincide exactly once.
- When the hour hand and the minute hand are at right angles, they are 15-minute spaces apart.
- When the hour hand and the minute hand are opposite each other, they are 30-minute spaces apart.
- The angle F between the hour hand and minute hand of the clock at any given point of time can be calculated using the given formula where,
M = minutes
H = hours
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