Physics208010 marksNumerical: Rotational kinetic energy wheelRotational kinetic energy
Distinguish rigid and non-rigid body. Derive an expression for rotational kinetic energy and discuss the conditions for conservation of energy. A wheel of radius 0.4 m and moment of inertia 1.2text kg-m2, pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2-kg
Distinguish rigid and non-rigid body. Derive an expression for rotational kinetic energy and discuss the conditions for conservation of energy. A wheel of radius 0.4 m and moment of inertia $1.2\text{ kg-m}^2$, pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2-kg weight is attached to the rope. When the weight has descended 1.5 m from its starting position, find the rotational velocity of the wheel. [10]
- Radius of wheel: $R = 0.4$ m - Moment of inertia of wheel: $I = 1.2$ kg·m² - Mass of hanging weight: $m = 2$ kg - Distance descended: $h = 1.5$ m - Wheel pivoted at center, frictionless (energy conserved) - Starts from rest - $g = 9.8$ m/s² (standard assumption) Find: rotational (angular) veloc...