Identify the increasing order of the angular velocities of the following 1. earth rotating about its own axis 2. hour's hand of a clock 3. second's hand of a clock 4. flywheel of radius 2 ~m making 300 rpm

Step-by-step solution

(1) Angular velocity of earth, aligned ₁ & = 2 T = 2 24 60 60 & = 2 86400 rad / s aligned (2) Angular velocity of hour's hand of a clock, aligned ₂ & = 2 T & = 2 12 60 60 = 2 43200 rad / s aligned (3) Angular velocity of second's hand of a clock, ₃= 2 T = 2 1 60 = 2 60 rad / s (4) Angular velocity of flywheel, aligned ₄ & =2 n=2 300 60 & =2 5 rad / s =10 rad / s aligned So, the increasing order is 1 < 2 < 3 < 4