A body of mass m = 10 k g is attached to one end of a wire of length 0.3 m . What is the maximum angular speed (in r a d s - 1 ) with which it can be rotated about its other end in a space station without breaking the wire? [Breaking stress

Question

A body of mass m = 10 k g is attached to one end of a wire of length 0.3 m . What is the maximum angular speed (in r a d s - 1 ) with which it can be rotated about its other end in a space station without breaking the wire? [Breaking stress of wire = 4.8 × 10 7 N m - 2 and area of cross-section of the wire = 10 - 2 c m 2 ]

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Correct answer: 4

T A = &#963; &#8230; &#8230; &#8230; &#8230; &#8230; &#8230; &#8230; . 1 T = m&#969; 2 l &#8230; &#8230; &#8230; &#8230; &#8230; &#8230; &#8230; . 2 Solving we get, &#969; = 4 &#160; rad &#160; s - 1

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