Angular frequency of a fan increase from 30 rpm to 60 rpm in pi sec. a dust particle present ata distance of 20 cm from ais of rotation. the tangential acceleration of the particle in pisec is
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w₁ = initial angular velocity = 30 rpm = 30 (2π/60) = π rad/s
w₂ = final angular velocity = 60 rpm = 60 (2π/60) = 2π rad/s
t = time = π sec
angular acceleration is given as
α = (w₂ - w₁)/t
α = (2π - π)/π
α = 1 rad/s
r = distance from center = 20 cm = 0.20 m
tangential acceleration is given as
a = r α
a = (0.20) 1
a = 0.20 m/s
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