Motion of a Conical Pendulum

time (s)

0

angular velocity in rad/s

ω

1.5

gravity

9.8

mass (g)

0.3

angle between string and vertical in degrees = 43.454

For the conical pendulum, gravity, mass, and the angular velocity determine the angle between the string and the vertical axis of the pendulum.

This angle is given by

θ=

-1

cos

g

L

2

ω

, where

g

is the acceleration of gravity,

ω

is the angular velocity, and

L

is the length of the string that suspends the mass

m

. For simplicity, we set

L=6

.

You can vary the time, angular velocity

ω

, gravity

g

, and mass

m

.