A bead is in a smooth radial groove of a disc rotating with constant angular speed 3 rad/s. At an instant its distance from the centre is 2 m. If its radial acceleration d²r/dt²=N m/s², find N.
Physics · Circular Motion · centripital force and centrifugal force
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Question

A bead is in a smooth radial groove of a disc rotating with constant angular speed 3 rad/s. At an instant its distance from the centre is 2 m. If its radial acceleration d²r/dt²=N m/s², find N.

G1 Physics · Accepted Answer

For a bead in a smooth radial groove rotating at constant angular speed, d²r/dt² = ω²r. Therefore d²r/dt² = 3²×2 = 18 m/s². Hence N=18.