1.For a given hypothetical flow, the velocity from time t=0 to t=5s was u=3m/s, v=3m/s. then from time t=5s to t=10s, the velocity was u=2m/s, v=2m/s. A dye streak was started at a point in the flow field at time t=0, and the path of a particle in the fluid was also traced from that same point starting at the same time. Draw the streakline, pathline of the particle, and streamlines at time t=10s.
2.A solid shaft of radius r is subjected to a torque T, determine the radius r' of the inner core of the shaft that resists one half of the applied torque (T/2)