Background: I'm a mechanical engineer at a pretty large (Fortune 500) company. When you're hired out of college, you're placed in a rotational program where you work a new position every 6 months or so, for 3 to 4 rotations. After this, you choose a place to work permanently.
I started my third rotation in this program on Monday. At the end of the day on Monday, my manager hadn't contacted me, so I sent him an email asking for some tasking to work on for the upcoming day. I finished all my training for my new role during this downtime. I met briefly with him on Tuesday morning, and he indicated that someone should have contacted me with tasking, and that they'd do so soon if they hadn't already. Tuesday came and went, and I wasn't contacted. I spent the time refactoring some messy code on a project from my previous role. I waited Wednesday as well for the person to contact me, which I feel was a mistake. This morning (Thursday), I emailed my manager again asking for tasking, and he said again that this person should be getting into contact with me. They still have not. What is an appropriate time frame to wait? What might my next steps be? I have the person's name, is it wise to reach out and contact them? It's very hard for me to spend time not charging to a contract based on how our company operates, and I feel like I'm costing the company money by essentially sitting idle.