1.

Calculate the angular velocity and linear velocity of a tip of minute hand of length 10cm

Answer»

Length of MINUTE hand = 10cm
For one revolution ,minute hand TAKES time = 1 hour
= 60minutes = 60 × 60sec
= 3600 SEC
so, time PERIOD of minute hand , T = 3600 sec

so, angular velocity , ω = 2π/T
= 2π/3600 = π/1800 rad/s

∵ linear velocity = angular velocity × length of minute hand
= π/1800 × 10 cm
= π/180 cm/sec



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