the ratio of angular speed of minute hand and hour hand of a watch is
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12:1
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ω = 2π/T { where T is time taken by it to complete one revolution in sec }
ω of minute hand of watch = 2π/ 3600sec
{ minute hand of watch takes 60min to complete one revolution which is equal to 3600 sec}
ω of hour hand = 2π/ 43200
{ hour hand takes 12 hrs to complete one revolution which is equal to 43200 sec }
ω of minute hand : ω of hour hand
= (2π/3600) : (2π/43200)
= (1/3600) : (1/43200) = 43200 : 3600 = 12 : 1
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