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?

Answer 1

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