A stone tied to 180   cm long string at its end is making 28 revolutions in horizontal circle in every…

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 1936x m s-2. The value of x ______.

[Take π=227]

Solution

Angular velocity, ω=28×2π60 rad s-1.

Required centripetal acceleration is given by,

a=ω2R

=5660×2272×1.8

=(44)2225×1.8=1936125

Hence, required x=125.

Asked in: JEE Main 2023 (30 Jan Shift 2)

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