A wheel has a radius of 2.1 m. How far(path length) does a point on the circumfe

Question

A wheel has a radius of 2.1 m. How far(path length) does a point on the circumference travel if the wheelis rotated through angles of 30°, 30 rad, and 30 rev,respectively? 30° 1
Your response differs from the correct answerby more than 100%. m 30 rad 2 m 30 rev 3 m 30° 1
Your response differs from the correct answerby more than 100%. m 30 rad 2 m 30 rev 3 m

Explanation / Answer

We know that          s = r 1 = 30 * / 180 = 0.5236 rad , so s1 = r * 1    = 2.1 * 0.5236                    = 1.099m similarly ,        2 = 30 rad,    ==> s2 = r *2       = 2.1 * 30                       = 63 m    and    3 = 30 rev * 2 rad/ rev            = 188.5 rad , ==> s3 = 188.5 * 2.1 = 395.85m

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