A flow has circular streamlines. At t=0 the flow is in the clockwise direction and the angular velocity is pi rad/s. This flow exists for 1 s, and then reverses to counterclockwise with an angular velocity of -pi rad/s for 1 s. For the 2 s of flow draw the pathline for a particle of fluid that started at the point at t=0. Draw streaklines for a dye stream that was emitted from the same point for the 2 s period.