Conical Pendulum — PeriodMediumQuestion 30610
Question
A conical pendulum with string length L, half-cone angle θ, has time period:
- A2π√(L/g)
- B2π√(L cosθ/g)Correct
- C2π√(L sinθ/g)
- D2π√(L tanθ/g)
Correct answer
2π√(L cosθ/g)
Explanation
Vertical: T cosθ = mg → T = mg/cosθ. Horizontal: T sinθ = mω²r = mω²L sinθ. So ω² = g/(L cosθ), T = 2π/ω = 2π√(L cosθ/g).