A wheel of radius has its angular velocity change linearly with time as follows: it…

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A wheel of radius

0.50\,\text{m}

has its angular velocity change linearly with time as follows: it increases uniformly from

0

10\,\text{rad}\,\text{s}^{-1}

during the first

4\,\text{s}

, then decreases uniformly to

4\,\text{rad}\,\text{s}^{-1}

t = 8\,\text{s}

. What is the average linear speed of a point on the rim over the entire

0

–

8\,\text{s}

interval? (a)

6.0\,\text{m}\,\text{s}^{-1}

(b)

2.5\,\text{m}\,\text{s}^{-1}

(c)

3.0\,\text{m}\,\text{s}^{-1}

(d)

2.0\,\text{m}\,\text{s}^{-1}