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QJEEM23Phc2ea: JEE Main 2023 Physics - Class 11 JEEM23Phc2ea Solution: A stone tied to long string at its end is making 28 revolutions …

A stone tied to 180 cm180 \mathrm{~cm} long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is 1936xms−2\frac{1936}{x} ms^{-2} . The value of xx ________. (Take π=227\pi=\frac{22}{7} )

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Acceleration of stone a=v2r=ω2Ra=\frac{v^{2}}{r}=\omega^{2} R

amp;a=(28×260×227)2×1.8amp;=1936125\begin{aligned}& a=\left(\frac{28 \times 2}{60} \times \frac{22}{7}\right)^{2} \times 1.8 \\\\& =\frac{1936}{125}\end{aligned}

So, x=125x=125

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