Answer to Question #258944 in Mechanics | Relativity for Thel

Question

Large freight trains accelerates slowly. Suppose one such train accelerates from rest, giving its 0.350meter radius wheels angular acceleration of 0.250 rad/s². After the wheel have made 200 revolutions (assume no slippage):

How far has the train moved down the track?

Answer 1

$r = 0.35m$

$n = 200$

$S =2\pi rn=2\pi *0.35*200\approx439.82m$

$\text{Answer: }439.82m$