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

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