A potter's wheel with a moment of inertia of 8.0 kg-m² has 5.0 N-m applied to it. It starts from rest. 10. s later it has gained what kinetic energy? A) 44. J B) 78. J C) 1.6 kJ D) 0.12 kJ E) 53. J

Question

Quizplus · Accepted Answer

The torque applied causes angular acceleration, which can be calculated using the formula: torque = moment of inertia * angular acceleration. The angular acceleration is 5.0 N-m / 8.0 kg-m² = 0.625 rad/s². The angular velocity after 10 seconds is 0.625 rad/s² * 10 s = 6.25 rad/s. The kinetic energy is (1/2) * moment of inertia * (angular velocity)² = 0.5 * 8.0 kg-m² * (6.25 rad/s)² = 78.125 J, approximately 78 J.

A Potter's Wheel with a Moment of Inertia of 8