A constant power is supplied to a disc that can rotate freely about a fixed vertical axis. Angular velocity ω of the disc varies with the number of rotations ( n ) made by the disc after starting from rest as ω = k n x . Hence x is: (K is a

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A constant power is supplied to a disc that can rotate freely about a fixed vertical axis. Angular velocity ω of the disc varies with the number of rotations ( n ) made by the disc after starting from rest as ω = k n x . Hence x is: (K is a constant)

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Correct answer: A. 1 3

τ = I α P = τ ω P = I α × ω P = I ω 2 d ω d θ ω 2 d ω ∝ d θ ⇒ ω 3 3 ∝ θ ω × θ 1 / 3 .

A constant power is supplied to a disc that can rotate freely about a fixed vertical axis. Angular velocity ω of the disc varies with the number of rotations ( n ) made by the disc after starting from rest as ω = k n x . Hence x is: (K is a constant)

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