The ratio of total energy to rotational energy associated with a hoop is
Correct answer: A. 2
- A. 2
- B. 1/4
- C. 1/3
- D. 2/3
Explanation
For a hoop rolling without slipping, the total energy is the sum of its translational kinetic energy and rotational kinetic energy. The ratio of total energy to rotational energy is (1+1/2 ):1 , which simplifies to 2:1.
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Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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