A conveyor belt is driven by a cylindrical roller

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A conveyor belt is driven by a cylindrical roller. When the belt reaches a steady speed of 2.0±0.1 m/s2.0 \pm 0.1\,\text{m/s}, a sensor attached to the roller records an angular speed of 25±1 rad/s25 \pm 1\,\text{rad/s}. Assuming the belt does not slip on the roller, which of the following values is most consistent with the radius of the roller, expressed with an appropriate uncertainty? (a) (0.040±0.005) m(0.040 \pm 0.005)\,\text{m} (b) (0.080±0.010) m(0.080 \pm 0.010)\,\text{m} (c) (0.160±0.010) m(0.160 \pm 0.010)\,\text{m} (d) (0.080±0.005) m(0.080 \pm 0.005)\,\text{m}

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