the length of hour and min.hands of a wall click are 3 cm and 6 cm respectively find the ratio of linear velocities of ends of the ends of the two hands
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We know that hour hand complete one revolution in 12 hours ,it means that speed of hour hand is (1/12) degree/s.
On the other hand minute hand complete one revolution in 1 hour ,it means that the so speed of minute hand is 6 degree/s.
We know that linear
V = ω x r
So
linear speed of hour hand = (1/12) x 3 cm/s
linear speed of minute hand = 6 x 6 cm/s
The ratio of linear speed of minute hand to hour hand =144:1 Or the ratio of linear speed of hour hand to minute hand =1:144
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