Related Resources: vibration

Sphere in Cylindrical Track Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Sphere in Cylindrical Track Angular Natural Frequency Equations and Calculator

Sphere in Cylindrical Track Angular Natural Frequency Equations and Calculator

ωn = [ ( 5 g ) / ( 7 ( Rt - Rs ) ] (1/2)

Where:

g = Acceleration of Gravity, ( 32.2 ft/sec2 ),
Rt = Radius of Track (ft),
Rs = Radius of Sphere (ft),
ωn = Angular Natural Frequency ( rad/sec or Hz)

1 rad/sec = 1/( 2π ) Hz

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook

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