For a conical pendulum of string length l making angle θ with the vertical, which statements are correct?
Select all that apply

Question

For a conical pendulum of string length l making angle θ with the vertical, which statements are correct?

G1 Physics · Accepted Answer

From T cosθ=mg and T sinθ=mω²(l sinθ), we get ω²=g/(l cosθ) and T=mg/cosθ. Since τ = 2π√(l cosθ/g), defining h=l cosθ gives τ=2π√(h/g). Therefore the period depends only on h at a given value of g, so all four statements are correct.