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JEE Main20245 Apr 2024Evening ShiftPhysicsMotion in Two DimensionsActual

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 ~m and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is ( . in m / s ^2 ) :

Options

  1. A57600 ^2 ~ms ⁻²
  2. BZero
  3. C4 ^2 ~ms ⁻²
  4. D16 ^2 ~ms ⁻²

Correct answer

D. 16 ^2 ~ms ⁻²

Step-by-step solution

aligned & Given : R =9 ~m , & 120 revolution in 3 ~min & = 120 Rev . 3 ~min . = 120 2 rad 3 60 sec = 4 3 rad / s & a _ centripetal = ^2 R = ( 4 3 )^2 9=16 ^2 ~m / s ^2 aligned

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