A wagon, starting from rest has a linear acceleration in the positive x direction of 0.3 m/s2. For the next 19 seconds, the wheels roll without slipping. The radius of each wheel is 37.4 cm. After this time, how many radians has each wheel rotated through?
Find out how far the wagon went in 19 seconds
d = (1/2) a t^2 = (1/2)(.3)(19)^2
each revolution or 2 pi radians the wheel rolls 2 pi r meters
so divide d by (2*pi*.374) to find how many turns
then multiply that by 2 pi to get radians
(1/2)(.3)(19)^2 /.374