Waves
Torsional Oscillation Period
Period of a torsional pendulum (object rotating about a wire or rod).
Variables
Ts
Period
Time for one oscillation
Ikg·m²
Moment of inertia
About rotation axis
κN·m/rad
Torsional constant
Restoring torque per radian
Derivation
Restoring torque τ = -κθ. Using τ = Iα: Iα = -κθ, giving ω² = κ/I and T = 2π√(I/κ).
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