What is the kinetic energy of a 120-cm thin uniform rod with a mass of 450 g that is rotating about its center at 3.60 rad/s?
A)0.350 J
B)4.20 J
C)0.700 J
D)0.960 J
E)2.10 J

Question

Quizplus · Accepted Answer

The kinetic energy of a rotating object is given by 1/2 I w^2, where I is the moment of inertia and w is the angular velocity. For a thin uniform rod rotating about its center, the moment of inertia is 1/12 mL^2, where m is the mass and L is the length. Substituting these values into the equation for kinetic energy, we get:KE = 1/2 (1/12 mL^2) w^2KE = 1/2 (1/12 * 0.450 kg * (1.20 m)^2) * (3.60 rad/s)^2KE = 0.350 J

What Is the Kinetic Energy of a 120-Cm Thin Uniform