Real-World Applicationshard
0:00.0

A steel shaft has torsional stiffness kt=fracGJLk_t = \\frac{G J}{L}, where G=10G = 10 GPa, J=2times105J = 2 \\times 10^{-5} m4^4 (polar moment of inertia), and L=2L = 2 m. A flywheel with rotational inertia I=10I = 10 kg\cdot m2^2 is attached at the free end. What is the natural frequency of torsional vibration omegan=sqrtfracktI\\omega_n = \\sqrt{\\frac{k_t}{I}}?