Ratio of angular speed of seconds hand to hour hand
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What is the ratio of the angular speed of the hour and second hands of a clock? We know that a second hand of the clock takes 60sec (1 min) to cover an angular distance of 2π radians (360°). For an hour hand to complete 1 rotation i.e 2π radians it takes 12hrs ( 12×3600 seconds). Finally the ratio is 21600/30 = 720:1.
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Answer:
What is the ratio of the angular speed of the hour and second hands of a clock? We know that a second hand of the clock takes 60sec (1 min) to cover an angular distance of 2π radians (360°). For an hour hand to complete 1 rotation i.e 2π radians it takes 12hrs ( 12×3600 seconds). Finally the ratio is 21600/30 = 720:1.
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