Physics

Problem

A conveyor belt is driven by a cylindrical roller. When the belt reaches a steady speed of

2.0 \pm 0.1\,\text{m/s}

, a sensor attached to the roller records an angular speed of

25 \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 \pm 0.005)\,\text{m}

(0.080 \pm 0.010)\,\text{m}

(0.160 \pm 0.010)\,\text{m}

(0.080 \pm 0.005)\,\text{m}

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