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प्रश्न
A ceiling fan having a moment of inertia 2 kg-m2 attains its maximum frequency of 60 rpm in ‘2π’ seconds. Calculate its power rating.
संख्यात्मक
उत्तर
ω0 = 0, ω = 2πn = 2π × 2 = 4π rad/s
α = `(ω - ω_0)/t`
= `(4π - 0)/(2π)`
= 2 rad/s2
∴ p = τ .ω = I α .ω = 2 × 2 × 4π
= 16π watt ≅ 50 watt
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Conservation of Angular Momentum
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