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 w

Question

A body of mass m = 10 &#160; k g is attached to one end of a wire of length 0.3 &#160; m . What is the maximum angular speed (in r a d &#160; s - 1 ) with which it can be rotated about its other end in a space station without breaking the wire? [Breaking stress of wire &#963; = 4.8 &#215; 10 7 &#160; N &#160; m - 2 and area of cross-section of the wire = 10 - 2 &#160; c m 2 ]

Quantrex Academy · Accepted Answer

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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