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In a hard disk drive, a constant torque of 14 N⋅m is applied to the magnetic disk when the drive starts recording data. The magnetic disk has a mass of 0.2 kg and radius 2m. Determine the magnitude of the angular acceleration of the disk? [please solve if you know]

Answer :

Onyebuchinnajigo

The magnitude of the angular acceleration of the magnetic disk is determined as 35 rad/s².

Angular acceleration of the disk

The angular acceleration of the disk is determined from the principle of conservation of angular momentum as follows;

τ = Iα

where;

α is angular acceleration

I is moment of inertia of the disk

I = 0.5MR²

I = 0.5 x 0.2 x 2²

I = 0.4 kgm²

τ = Iα

α = τ/I

α = (14)/(0.4)

α = 35 rad/s²

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