Radial & Tangential Acceleration for Non Uniform Circular Motion
A ceiling fan...
Question
A ceiling fan is rotating with an angular velocity of 4rev/s. It takes 40s to stop when it is switched off. The angular retardation during this interval is
A
3π5rad/s2
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B
−π5rad/s2
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C
π5rad/s2
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D
2π5rad/s2
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Solution
The correct option is Cπ5rad/s2 We know that αavg=ωf−ωitf−ti Given ωi=4rev/s=4×2πrad/s=8πrad/s and ωf=0 Retardation, ∴αavg=∣∣∣0−8π40∣∣∣=π5rad/s2