A body of mass m = 10 kg is attached to a wire of length 0.3 m. The maximum angular velocity with which it can be rotated in a horizontal circle is (Breaking stress of wire = 4.8 × 10 7 N m - 2 and area of cross-section of a wire = 10 - 6 m 2 )

Question

A body of mass m = 10 kg is attached to a wire of length 0.3 m. The maximum angular velocity with which it can be rotated in a horizontal circle is (Breaking stress of wire = 4.8 × 10 7 N m - 2 and area of cross-section of a wire = 10 - 6 m 2 ), 4 r a d s - 1, 8 r a d s - 1, 1 r a d s - 1, 2 r a d s - 1

MARKS App · Accepted Answer

Breaking strength = tension in the wire = m r ω 2 4.8 × 10 7 × 10 - 6 = 10 × 0.3 × ω 2 ω 2 = 48 0.3 × 10 = 16 ω = 4 r a d s - 1

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