Conical PendulumHardQuestion 30250
Question
A conical pendulum has string length L and half-cone angle θ. Its angular speed is:
- A√(g/Lcosθ)Correct
- B√(g/L sinθ)
- C√(g tanθ /L)
- D√(gcosθ/L)
Correct answer
√(g/Lcosθ)
Explanation
Vertical: T cosθ = mg. Horizontal: T sinθ = mω²r = mω²L sinθ. From horizontal: T = mω²L. Substituting into vertical: mω²L cosθ = mg → ω = √(g/L cosθ).