Rotating Rod Elongation Calculator

Calculate the elongation $\Delta L$ of a rod under rotation using: $$ \Delta L = \frac{\rho\, \omega^2\, L^3}{3E} $$

* Ensure that all units are consistent: ρ in kg/m³, ω in rad/s, L in m, and E in Pa.

Step 1: Enter Parameters

Density, $\rho$ (kg/m³):

e.g., 7800 kg/m³ (for steel)

Angular Speed, $\omega$ (rad/s):

e.g., 50 rad/s

Original Length, $L$ (m):

e.g., 1 m

Young’s Modulus, $E$ (Pa):

e.g., 210×10⁹ Pa (for steel)

Calculated Elongation