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Compound Pendulum Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Compound Pendulum Angular Natural Frequency Equations and Calculator

Compound Pendulum Angular Natural Frequency Equations and Calculator

ωn1 = [ ( a g ) / ( ρo2 ) ] (1/2)

ωn2 = [ ( a W ) / Io ] (1/2)

Where:

ρo = Radius of Gyration abouit Axis of Support (in, m),
W = Weight of Pendulem (lb, N),
a = Distance as Indicated (ft, m),
g = Acceleration of Gravity, ( 32.2 ft/sec2, 9.81 m/s2 ),
Io = Moment of Inertia About Axis of Support (in4, m4),
ωn = Angular Natural Frequency ( rad / sec or Hz)

1 rad/sec = 1/( 2π ) Hz

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook