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Length of minute hand of a clock is 14cm and hour hand is 10cm, find the difference of distance covered by the tip these two in 15 min?
Distance traveled by Minute Hand = 14*(π/2) = (7π)cm (minute hand travels 90º in 15 minutes)
angle traveled by the hourhand in 15 minutes = 15*360/(12*60) = 7.5º
Distance traveled by Hour Hand = (7.5*(π/180))*10 = ((15/36)π)cm = (5π/12)cm.
The difference in distance covered by the minute and the hour hand in 15 minutes = 7π - (5π/12) = (79π/12) cm
Can you find out the angle between the minute hand and the hour hand at 3:15 on an analog clock? Think hard and then come to a conclusion.
I noticed that in my big wall clock, there is a time when the minute and hour clock are exactly between one and two. Also I notice both hands lie on top of each other.
What is the time I am talking about ?
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