A circular flexible rope has total mass 2π kg, radius 1 m and rotates in its own plane with angular speed 3 rad/s. If the tension in the rope is N newton, find N.

Question

G1 Physics · Accepted Answer

The circumference is 2πR = 2π m. Hence linear mass density λ = M/(2πR) = 2π/(2π×1) = 1 kg/m. For a rotating circular rope, T = λω²R². Therefore T = 1×3²×1² = 9 N. Hence N=9.