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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]

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Onyebuchinnajiid

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

Conservation of angular momentum

The angular acceleration of the disk is determined from the principle of conservation of angular momentum.

τ = Iα

where;

  • τ is torque
  • I moment of inertia of the disk
  • α is angular acceleration of the disk

I = ¹/₂MR²

I = ¹/₂ x 0.2 x 2²

I = 0.4 kgm²

α = τ/I

α = (14)/(0.4)

α = 35 rad/s²

Thus, the angular acceleration of the disk is determined as 35 rad/s².

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