Question

the seconds hand of watch is 2 cm long. what is velocity of its tip?

Answer 1

The circular path of the tip of the watch is, d = 2 × π  × r = 2 × 3.14 × 2 = 12.56 cm

The time in which the tip covers one revolution, t = 60 s

So,

The speed of the tip is,v = 12.56/60 = 0.21 cm/s

Answer 2

It's average velocity will be zero as there will be no displacement after one rotation. But if you are asking about the speed then here is your solution :-

Distance travelled by tip in one rotation = 2pi*r
= 2 * 22/7 * 2 = 88/7 cm
Time = 1 min = 60 seconds
So, Speed = 88/(60*7) = 88/420 cm/sec = 0.209 cm/sec or 0.21 cm/sec

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