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Laws Of Motion

Question
CBSEENPH11016886

What is the angular velocity of hour’s hand and the second’s hand of a clock and what is the ratio of the angular velocity?

Solution

Hour's hand completes one revolution in 12 hours.
Angular velocity of hour's hand is,
space space straight omega subscript 1 equals fraction numerator 2 straight pi over denominator straight T end fraction equals fraction numerator 2 straight pi over denominator 43200 end fraction rad divided by sec
Second’s hand completes one revolution in 60 seconds.
Angular velocity of second’s hand is,
straight omega subscript 2 equals fraction numerator 2 straight pi over denominator 60 end fraction rad divided by sec
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#6 {main}</pre> , is the required ratio.