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Question

The ratio of the angular velocities of the hour hand and minute hand of a watch is

A
1:1
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B
1:12
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C
43200:1
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D
720:1
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Solution

The correct option is B 1:12
Inonehour,RotationofMinutehand=3600RotationofHourhand=3600/12=300Asangulardisplacement=ωt(noangularacceleration)ωm×360=360ωh×360=30ωhωm=30360=1/12ωh:ωm=1:12

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