A string breaks if its tension exceeds 10 newtons. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

20 rad/s

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40 rad/s

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100 rad/s

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200 rad/s

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Solution

The correct option is A
20 rad/s

$T = m ω^{2} r \Rightarrow 10 = 0.25 \times ω^{2} \times 0.1 \Rightarrow ω = 20 r a d / s$

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A string breaks if its tension exceeds 10 newtons. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

The correct option is A 20 rad/s T=mω2r⇒10=0.25×ω2×0.1⇒ω=20rad/s

The correct option is A
20 rad/s

$T = m ω^{2} r \Rightarrow 10 = 0.25 \times ω^{2} \times 0.1 \Rightarrow ω = 20 r a d / s$