A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off, the angular velocity becomes 1 4 t h of the original in time t and n revolutions are made in that time. The number of revolution made by the fan during the time interval between switch off and rest are (Angular retardation is uniform)

Question

A ceiling fan rotates about its own axis with some angular velocity. When the fan is switched off, the angular velocity becomes 1 4 t h of the original in time t and n revolutions are made in that time. The number of revolution made by the fan during the time interval between switch off and rest are (Angular retardation is uniform), 4 n 15, 8 n 15, 16 n 15, 32 n 15

MARKS App · Accepted Answer

ω 4 2 = ω 2 - 2 α n ( 2 π ) ∴ 2 α n 2 π = ω 2 - ω 2 16 ∴ 2 π n = 15 16 ω 2 2 α 0 = ω 2 - 2 α n ′ ∴ 2 π n ′ = ω 2 2 α ∴ n ′ = 16 15 n

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