Conical Pendulum Calculator
Compute the period and speed of a conical pendulum from length and angle.
Input Data
Length M
m
Angle Deg
°
Mass Kg
kg
Gravity Ms2
m/s²
Results
1.866855s
0.53566Hz
3.365652rad/s
1.154701
0.5m
11.327612N
At a glance:T = 2π√(L·cosθ/g); speed = 2πr/T. Complements period-of-pendulum and centripetal-force.
Formula
T = 2π·√(L·cosθ / g).
$$T = 2\pi\sqrt{\dfrac{L\cos\theta}{g}}$$$$\omega = \sqrt{\dfrac{g}{L\cos\theta}}$$$$F_T = \dfrac{mg}{\cos\theta}$$How to Use
- Enter length and angle.
- The tool returns period and speed.
Case Studies
L=1, θ=30°, g=9.8
T ≈ 1.87 s.
FAQ
θ = 0?
Degenerates to a vertical pendulum (no circular motion).
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.