If the maximum tension the ring can withstand is F m a x and its linear mass density is d . The maximum permissible linear velocity of a rotating thin lead ring (axis of rotation is the axis of the

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If the maximum tension the ring can withstand is F m a x ​ and its linear mass density is d . The maximum permissible linear velocity of a rotating thin lead ring (axis of rotation is the axis of the ring) is

TestHub · Accepted Answer

Take a small element of angle d θ and mass d m = d R d θ . Net inward tension: 2 T sin 2 d θ ​ ≈ T d θ T d θ = d m R v 2 ​ = d v 2 d θ T = d v 2 . Setting T = F m a x ​ : v = d F m a x ​ ​ ​

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