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Question

A ceiling fan is rotating with an angular velocity of 4 rev/s. It takes 40 s to stop when it is switched off. The angular retardation during this interval is
  1. π5 rad/s2
  2. 2π5 rad/s2
  3. π5 rad/s2
  4. 3π5 rad/s2


Solution

The correct option is A π5 rad/s2
We know that αavg=ωfωitfti
Given ωi=4 rev/s=4×2π rad/s=8π rad/s
and ωf=0
Retardation, αavg=08π40=π5 rad/s2

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