A stone tied to 180 cm long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is ms–2 . The value of x ___

Engineering

Physics

Straight Line Motion

Question

A stone tied to 180 cm long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x}$ ms^–2 . The value of x ____. (Take $π = \frac{22}{7}$ ).

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$V = Rω = \frac{180}{100} \times (\frac{2 π \times 28}{60}) = (\frac{132}{25})$

$a = \frac{V^{2}}{R} = {(\frac{132}{25})}^{2} \times \frac{100}{180} = \frac{1936}{125} m / s^{2}$

∴ x = 125