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

- π5 rad/s2
- 2π5 rad/s2
- −π5 rad/s2
- 3π5 rad/s2

Solution

The correct option is **A** π5 rad/s2

We know that αavg=ωf−ωitf−ti

Given ωi=4 rev/s=4×2π rad/s=8π rad/s

and ωf=0

Retardation, ∴αavg=∣∣∣0−8π40∣∣∣=π5 rad/s2

We know that αavg=ωf−ωitf−ti

Given ωi=4 rev/s=4×2π rad/s=8π rad/s

and ωf=0

Retardation, ∴αavg=∣∣∣0−8π40∣∣∣=π5 rad/s2

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