A solid uniform disk rotates about its central axis with a constant angular velocity
PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A solid uniform disk rotates about its central axis with a constant angular velocity. Which of the following best explains why a point on the rim travels a greater linear distance during one full revolution than a point located halfway between the center and the rim?
(a) Points near the rim complete more revolutions per unit time than points closer to the center, so they trace out longer paths.
(b) For each point, linear distance equals its distance from the axis multiplied by the same angular displacement, so the larger radius yields the larger path length.
(c) Outer points experience a larger centripetal force, and that additional force directly increases the distance they travel in one revolution.
(d) Tangential acceleration is proportional to radius; therefore, rim points accelerate more and end up covering a greater distance in a single turn.