Related Resources: vibration
Cylinder in Cylindrical Track Angular Natural Frequency Equations and Calculator
Machine Design and Engineering
Cylinder in Cylindrical Track Angular Natural Frequency Equations and Calculator
ωn = [ ( 2 g ) / ( 3 * ( Rt - Rc ) ) ] (1/2)
Where:
g = Gravity 32.2 ft / sec2
Rt = Radius of Track (ft2),
Rc = Radius of Cylinder (ft2),
ωn = Angular Natural Frequency ( rad/sec or Hz)
1 rad/sec = 1/( 2π ) Hz
Reference Harris, Shock and Vibration Handbook