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

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Solution

$T = F_{c}$
$T = m ω^{2} r$
$10 = 0.25 \times ω^{2} * 0.1$
$ω^{2} = 400$
$ω = 20 \frac{m}{s}$

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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 is rotated in a horizontal circle. Find the maximum angular velocity of rotation.

T=FcT=mω2r10=0.25×ω2∗0.1ω2=400ω=20ms

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

$T = F_{c}$
$T = m ω^{2} r$
$10 = 0.25 \times ω^{2} * 0.1$
$ω^{2} = 400$
$ω = 20 \frac{m}{s}$