A stone tied to a long string at its end is making 28 revolutions in a horizontal circle in every minute. The magnitude of acceleration of stone is . The value of ________ . () [2023]

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Solution

Q.
A stone tied to $180 cm$ long string at its end is making 28 revolutions in a horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x} {m s}^{- 2}$ . The value of $x$ ________ . ( $Take π = \frac{22}{7}$ ) [2023]

Ans.
(125)

$a = ω^{2} R = {(\frac{28 \times 2 π}{60})}^{2} \times 1.8$

$= {(\frac{56}{60} \times \frac{22}{7})}^{2} \times 1.8 = \frac{1936 \times 1.8}{225}$

$\Rightarrow x = 125$

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