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A small but heavy block of mass 10 kg is attached to a wire 0.3 m long. Its breaking stress is 4.8 × 107N/m2. The area of the cross section of the wire is 106m2. The maximum angular velocity with which the block can be rotated in the horizontal circle is

a
4 rad/s
b
8 rad/s
c
10 rad/s
d
32 rad/s

detailed solution

Correct option is A

mrω2== Breaking stress × Cross-sectional area 10 × 0.3w2= 4.8 × 107× 10−6= 48⇒ω2=483=16⇒ω= 4 rad/s

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