Unlock the mysteries of circular motion with our Conical Pendulum Calculator. Easily compute the period, velocity, tension, and radius of a conical pendulum's path. This tool is perfect for students, educators, and engineers needing precise physics calculations for uniform circular motion and forces. Simply input the length, angle, and mass to get instant results.
Formula:
The key formulas used in this calculator are:
- Period (P):
P = 2π√(L cosθ / g) - Velocity (v):
v = √(g L sinθ tanθ) - Tension (T):
T = mg / cosθ - Radius of Path (r):
r = L sinθ
Where:
L= Length of the string (meters)θ= Angle the string makes with the vertical (radians)m= Mass of the bob (kilograms)g= Acceleration due to gravity (meters/second²)P= Period of oscillation (seconds)v= Speed of the bob (meters/second)T= Tension in the string (Newtons)r= Radius of the circular path (meters)