How to Calculate Length of Shaft given Circular Frequency?
Length of Shaft given Circular Frequency calculator uses Length of Shaft = ((pi^4)/(Natural Circular Frequency^2)*(Young's Modulus*Moment of inertia of shaft*Acceleration due to Gravity)/(Load per unit length))^(1/4) to calculate the Length of Shaft, Length of Shaft given Circular Frequency formula is defined as the measure of the length of a shaft in a mechanical system, which is influenced by the circular frequency, modulus of elasticity, moment of inertia, and weight per unit length of the shaft, and is crucial in determining the natural frequency of free transverse vibrations. Length of Shaft is denoted by Lshaft symbol.
How to calculate Length of Shaft given Circular Frequency using this online calculator? To use this online calculator for Length of Shaft given Circular Frequency, enter Natural Circular Frequency (ωn), Young's Modulus (E), Moment of inertia of shaft (Ishaft), Acceleration due to Gravity (g) & Load per unit length (w) and hit the calculate button. Here is how the Length of Shaft given Circular Frequency calculation can be explained with given input values -> 3.59419 = ((pi^4)/(13.1^2)*(15*1.085522*9.8)/(3))^(1/4).