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Matter In Our Surroundings

Question
CBSEENSC9005786

What is the angular speed of the second’s hand of a clock, assuming that it moves with a constant angular speed. If the length of the second’s hand is 4 cm, calculate the speed of the tip of the second’s hand.

Solution
We space know space that comma space space space

A n g u l a r space s p e e d comma space straight omega space equals space straight theta over straight t
But space space straight theta space equals space 2 straight pi space space radian comma space space space straight t space equals space 60 space seconds
therefore space space space space space space space space space space space space space straight omega space equals space fraction numerator 2 straight pi over denominator 60 end fraction equals straight pi over 3 rad divided by straight s
Speed space of space the space trip space of space second apostrophe straight s space hand
straight v space equals rω space equals space 4 space cross times space straight pi over 30 space equals space fraction numerator 2 straight pi over denominator 15 end fraction cm divided by straight s.
'v' is the speed of the tip of the second's hand.