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AP EAMCET202120 Aug 2021Morning ShiftPhysicsMechanical Properties of SolidsActual

A body of mass 10 kg is attached to a wire of 0 . 3 m length. The breaking stress is 4 . 8 × 10 7 N m - 2 . The area of cross-section from the wire is 10 - 6 m 2 . The maximum angular velocity with which it can be rotated in a horizontal circle is

Options

  1. A4   rad   s - 1
  2. B8   rad   s - 1
  3. C16   rad   s - 1
  4. D32   rad   s - 1

Correct answer

A. 4   rad   s - 1

Step-by-step solution

The braking tension force for the wire is, F = σ · A ⇒ F = 4 . 8 × 10 7   N   m - 2 10 - 6   m 2 ⇒ F = 48   N Now, the tension force will provide the necessary centripetal force so that it can rotate in a horizontal circle, F C = 48   N m ω 2 r = 48   N ω = 48 10 × 0 . 3 = 4   rad   s - 1 Thus, the maximum angular velocity with which it can rotate in a horizontal circle is 4   rad   s - 1

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