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
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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