Angular speed of a uniformly circulating body with time period t is 2pie /t
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w - angular speed
v - linear speed
t - time period
r - radius of the circular path
v = 2πr/t ........(i)
since, v = w × r
=> w = v /r .........(ii)
from eqn (i) and (ii)....
w = (2πr/t)/r = 2π/t .......
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